diff --git a/poulpy-core/benches/external_product_glwe_fft64.rs b/poulpy-core/benches/external_product_glwe_fft64.rs
index 360a9f4..5027f3b 100644
--- a/poulpy-core/benches/external_product_glwe_fft64.rs
+++ b/poulpy-core/benches/external_product_glwe_fft64.rs
@@ -1,7 +1,7 @@
 use poulpy_core::layouts::{
-    Base2K, Degree, Dnum, Dsize, GGSWCiphertext, GGSWCiphertextLayout, GLWECiphertext, GLWECiphertextLayout, GLWESecret, Rank,
+    Base2K, Degree, Dnum, Dsize, GGSW, GGSWCiphertextLayout, GLWECiphertext, GLWECiphertextLayout, GLWESecret, Rank,
     TorusPrecision,
-    prepared::{GGSWCiphertextPrepared, GLWESecretPrepared, PrepareAlloc},
+    prepared::{GGSWPrepared, GLWESecretPrepared, PrepareAlloc},
 };
 use std::hint::black_box;
 
@@ -62,13 +62,13 @@ fn bench_external_product_glwe_fft64(c: &mut Criterion) {
             rank,
         };
 
-        let mut ct_ggsw: GGSWCiphertext<Vec<u8>> = GGSWCiphertext::alloc(&ggsw_layout);
+        let mut ct_ggsw: GGSW<Vec<u8>> = GGSW::alloc(&ggsw_layout);
         let mut ct_glwe_in: GLWECiphertext<Vec<u8>> = GLWECiphertext::alloc(&glwe_in_layout);
         let mut ct_glwe_out: GLWECiphertext<Vec<u8>> = GLWECiphertext::alloc(&glwe_out_layout);
         let pt_rgsw: ScalarZnx<Vec<u8>> = ScalarZnx::alloc(n.into(), 1);
 
         let mut scratch: ScratchOwned<FFT64Spqlios> = ScratchOwned::alloc(
-            GGSWCiphertext::encrypt_sk_scratch_space(&module, &ggsw_layout)
+            GGSW::encrypt_sk_scratch_space(&module, &ggsw_layout)
                 | GLWECiphertext::encrypt_sk_scratch_space(&module, &glwe_in_layout)
                 | GLWECiphertext::external_product_scratch_space(&module, &glwe_out_layout, &glwe_in_layout, &ggsw_layout),
         );
@@ -98,7 +98,7 @@ fn bench_external_product_glwe_fft64(c: &mut Criterion) {
             scratch.borrow(),
         );
 
-        let ggsw_prepared: GGSWCiphertextPrepared<Vec<u8>, FFT64Spqlios> = ct_ggsw.prepare_alloc(&module, scratch.borrow());
+        let ggsw_prepared: GGSWPrepared<Vec<u8>, FFT64Spqlios> = ct_ggsw.prepare_alloc(&module, scratch.borrow());
 
         move || {
             ct_glwe_out.external_product(&module, &ct_glwe_in, &ggsw_prepared, scratch.borrow());
@@ -163,12 +163,12 @@ fn bench_external_product_glwe_inplace_fft64(c: &mut Criterion) {
             rank,
         };
 
-        let mut ct_ggsw: GGSWCiphertext<Vec<u8>> = GGSWCiphertext::alloc(&ggsw_layout);
+        let mut ct_ggsw: GGSW<Vec<u8>> = GGSW::alloc(&ggsw_layout);
         let mut ct_glwe: GLWECiphertext<Vec<u8>> = GLWECiphertext::alloc(&glwe_layout);
         let pt_rgsw: ScalarZnx<Vec<u8>> = ScalarZnx::alloc(n.into(), 1);
 
         let mut scratch: ScratchOwned<FFT64Spqlios> = ScratchOwned::alloc(
-            GGSWCiphertext::encrypt_sk_scratch_space(&module, &ggsw_layout)
+            GGSW::encrypt_sk_scratch_space(&module, &ggsw_layout)
                 | GLWECiphertext::encrypt_sk_scratch_space(&module, &glwe_layout)
                 | GLWECiphertext::external_product_inplace_scratch_space(&module, &glwe_layout, &ggsw_layout),
         );
@@ -198,7 +198,7 @@ fn bench_external_product_glwe_inplace_fft64(c: &mut Criterion) {
             scratch.borrow(),
         );
 
-        let ggsw_prepared: GGSWCiphertextPrepared<Vec<u8>, FFT64Spqlios> = ct_ggsw.prepare_alloc(&module, scratch.borrow());
+        let ggsw_prepared: GGSWPrepared<Vec<u8>, FFT64Spqlios> = ct_ggsw.prepare_alloc(&module, scratch.borrow());
 
         move || {
             let scratch_borrow = scratch.borrow();
diff --git a/poulpy-core/benches/keyswitch_glwe_fft64.rs b/poulpy-core/benches/keyswitch_glwe_fft64.rs
index 2da2032..8316949 100644
--- a/poulpy-core/benches/keyswitch_glwe_fft64.rs
+++ b/poulpy-core/benches/keyswitch_glwe_fft64.rs
@@ -1,7 +1,7 @@
 use poulpy_core::layouts::{
-    Base2K, Degree, Dnum, Dsize, GGLWEAutomorphismKey, GGLWEAutomorphismKeyLayout, GGLWESwitchingKey, GGLWESwitchingKeyLayout,
-    GLWECiphertext, GLWECiphertextLayout, GLWESecret, Rank, TorusPrecision,
-    prepared::{GGLWEAutomorphismKeyPrepared, GGLWESwitchingKeyPrepared, GLWESecretPrepared, PrepareAlloc},
+    AutomorphismKey, AutomorphismKeyLayout, Base2K, Degree, Dnum, Dsize, GLWECiphertext, GLWECiphertextLayout, GLWESecret,
+    GLWESwitchingKey, GLWESwitchingKeyLayout, Rank, TorusPrecision,
+    prepared::{AutomorphismKeyPrepared, GLWESecretPrepared, GLWESwitchingKeyPrepared, PrepareAlloc},
 };
 use std::{hint::black_box, time::Duration};
 
@@ -39,7 +39,7 @@ fn bench_keyswitch_glwe_fft64(c: &mut Criterion) {
 
         let dnum: Dnum = p.k_ct_in.div_ceil(p.base2k.0 * dsize.0).into();
 
-        let gglwe_atk_layout: GGLWEAutomorphismKeyLayout = GGLWEAutomorphismKeyLayout {
+        let gglwe_atk_layout: AutomorphismKeyLayout = AutomorphismKeyLayout {
             n,
             base2k,
             k: k_gglwe,
@@ -62,12 +62,12 @@ fn bench_keyswitch_glwe_fft64(c: &mut Criterion) {
             rank,
         };
 
-        let mut ksk: GGLWEAutomorphismKey<Vec<u8>> = GGLWEAutomorphismKey::alloc(&gglwe_atk_layout);
+        let mut ksk: AutomorphismKey<Vec<u8>> = AutomorphismKey::alloc(&gglwe_atk_layout);
         let mut ct_in: GLWECiphertext<Vec<u8>> = GLWECiphertext::alloc(&glwe_in_layout);
         let mut ct_out: GLWECiphertext<Vec<u8>> = GLWECiphertext::alloc(&glwe_out_layout);
 
         let mut scratch: ScratchOwned<FFT64Spqlios> = ScratchOwned::alloc(
-            GGLWESwitchingKey::encrypt_sk_scratch_space(&module, &gglwe_atk_layout)
+            GLWESwitchingKey::encrypt_sk_scratch_space(&module, &gglwe_atk_layout)
                 | GLWECiphertext::encrypt_sk_scratch_space(&module, &glwe_in_layout)
                 | GLWECiphertext::keyswitch_scratch_space(
                     &module,
@@ -102,7 +102,7 @@ fn bench_keyswitch_glwe_fft64(c: &mut Criterion) {
             scratch.borrow(),
         );
 
-        let ksk_prepared: GGLWEAutomorphismKeyPrepared<Vec<u8>, _> = ksk.prepare_alloc(&module, scratch.borrow());
+        let ksk_prepared: AutomorphismKeyPrepared<Vec<u8>, _> = ksk.prepare_alloc(&module, scratch.borrow());
 
         move || {
             ct_out.automorphism(&module, &ct_in, &ksk_prepared, scratch.borrow());
@@ -157,7 +157,7 @@ fn bench_keyswitch_glwe_inplace_fft64(c: &mut Criterion) {
 
         let dnum: Dnum = p.k_ct.div_ceil(p.base2k).into();
 
-        let gglwe_layout: GGLWESwitchingKeyLayout = GGLWESwitchingKeyLayout {
+        let gglwe_layout: GLWESwitchingKeyLayout = GLWESwitchingKeyLayout {
             n,
             base2k,
             k: k_ksk,
@@ -174,11 +174,11 @@ fn bench_keyswitch_glwe_inplace_fft64(c: &mut Criterion) {
             rank,
         };
 
-        let mut ksk: GGLWESwitchingKey<Vec<u8>> = GGLWESwitchingKey::alloc(&gglwe_layout);
+        let mut ksk: GLWESwitchingKey<Vec<u8>> = GLWESwitchingKey::alloc(&gglwe_layout);
         let mut ct: GLWECiphertext<Vec<u8>> = GLWECiphertext::alloc(&glwe_layout);
 
         let mut scratch: ScratchOwned<FFT64Spqlios> = ScratchOwned::alloc(
-            GGLWESwitchingKey::encrypt_sk_scratch_space(&module, &gglwe_layout)
+            GLWESwitchingKey::encrypt_sk_scratch_space(&module, &gglwe_layout)
                 | GLWECiphertext::encrypt_sk_scratch_space(&module, &glwe_layout)
                 | GLWECiphertext::keyswitch_inplace_scratch_space(&module, &glwe_layout, &gglwe_layout),
         );
@@ -211,7 +211,7 @@ fn bench_keyswitch_glwe_inplace_fft64(c: &mut Criterion) {
             scratch.borrow(),
         );
 
-        let ksk_prepared: GGLWESwitchingKeyPrepared<Vec<u8>, FFT64Spqlios> = ksk.prepare_alloc(&module, scratch.borrow());
+        let ksk_prepared: GLWESwitchingKeyPrepared<Vec<u8>, FFT64Spqlios> = ksk.prepare_alloc(&module, scratch.borrow());
 
         move || {
             ct.keyswitch_inplace(&module, &ksk_prepared, scratch.borrow());
diff --git a/poulpy-core/src/automorphism/gglwe_atk.rs b/poulpy-core/src/automorphism/gglwe_atk.rs
index 9b08e68..57324e3 100644
--- a/poulpy-core/src/automorphism/gglwe_atk.rs
+++ b/poulpy-core/src/automorphism/gglwe_atk.rs
@@ -7,9 +7,9 @@ use poulpy_hal::{
     layouts::{Backend, DataMut, DataRef, Module, Scratch, ZnxZero},
 };
 
-use crate::layouts::{GGLWEAutomorphismKey, GGLWEInfos, GLWECiphertext, prepared::GGLWEAutomorphismKeyPrepared};
+use crate::layouts::{AutomorphismKey, GGLWEInfos, GLWECiphertext, prepared::AutomorphismKeyPrepared};
 
-impl GGLWEAutomorphismKey<Vec<u8>> {
+impl AutomorphismKey<Vec<u8>> {
     pub fn automorphism_scratch_space<B: Backend, OUT, IN, KEY>(
         module: &Module<B>,
         out_infos: &OUT,
@@ -36,16 +36,16 @@ impl GGLWEAutomorphismKey<Vec<u8>> {
         KEY: GGLWEInfos,
         Module<B>: VecZnxDftAllocBytes + VmpApplyDftToDftTmpBytes + VecZnxBigNormalizeTmpBytes + VecZnxNormalizeTmpBytes,
     {
-        GGLWEAutomorphismKey::automorphism_scratch_space(module, out_infos, out_infos, key_infos)
+        AutomorphismKey::automorphism_scratch_space(module, out_infos, out_infos, key_infos)
     }
 }
 
-impl<DataSelf: DataMut> GGLWEAutomorphismKey<DataSelf> {
+impl<DataSelf: DataMut> AutomorphismKey<DataSelf> {
     pub fn automorphism<DataLhs: DataRef, DataRhs: DataRef, B: Backend>(
         &mut self,
         module: &Module<B>,
-        lhs: &GGLWEAutomorphismKey<DataLhs>,
-        rhs: &GGLWEAutomorphismKeyPrepared<DataRhs, B>,
+        lhs: &AutomorphismKey<DataLhs>,
+        rhs: &AutomorphismKeyPrepared<DataRhs, B>,
         scratch: &mut Scratch<B>,
     ) where
         Module<B>: VecZnxDftAllocBytes
@@ -133,7 +133,7 @@ impl<DataSelf: DataMut> GGLWEAutomorphismKey<DataSelf> {
     pub fn automorphism_inplace<DataRhs: DataRef, B: Backend>(
         &mut self,
         module: &Module<B>,
-        rhs: &GGLWEAutomorphismKeyPrepared<DataRhs, B>,
+        rhs: &AutomorphismKeyPrepared<DataRhs, B>,
         scratch: &mut Scratch<B>,
     ) where
         Module<B>: VecZnxDftAllocBytes
diff --git a/poulpy-core/src/automorphism/ggsw_ct.rs b/poulpy-core/src/automorphism/ggsw_ct.rs
index eef3082..09e2f94 100644
--- a/poulpy-core/src/automorphism/ggsw_ct.rs
+++ b/poulpy-core/src/automorphism/ggsw_ct.rs
@@ -9,11 +9,11 @@ use poulpy_hal::{
 };
 
 use crate::layouts::{
-    GGLWEInfos, GGSWCiphertext, GGSWInfos, GLWECiphertext,
-    prepared::{GGLWEAutomorphismKeyPrepared, GGLWETensorKeyPrepared},
+    GGLWEInfos, GGSW, GGSWInfos, GLWECiphertext,
+    prepared::{AutomorphismKeyPrepared, TensorKeyPrepared},
 };
 
-impl GGSWCiphertext<Vec<u8>> {
+impl GGSW<Vec<u8>> {
     pub fn automorphism_scratch_space<B: Backend, OUT, IN, KEY, TSK>(
         module: &Module<B>,
         out_infos: &OUT,
@@ -40,7 +40,7 @@ impl GGSWCiphertext<Vec<u8>> {
             &in_infos.glwe_layout(),
             key_infos,
         );
-        let expand: usize = GGSWCiphertext::expand_row_scratch_space(module, out_infos, tsk_infos);
+        let expand: usize = GGSW::expand_row_scratch_space(module, out_infos, tsk_infos);
         ci_dft + (ks_internal | expand)
     }
 
@@ -60,17 +60,17 @@ impl GGSWCiphertext<Vec<u8>> {
             + VecZnxNormalizeTmpBytes
             + VecZnxBigNormalizeTmpBytes,
     {
-        GGSWCiphertext::automorphism_scratch_space(module, out_infos, out_infos, key_infos, tsk_infos)
+        GGSW::automorphism_scratch_space(module, out_infos, out_infos, key_infos, tsk_infos)
     }
 }
 
-impl<DataSelf: DataMut> GGSWCiphertext<DataSelf> {
+impl<DataSelf: DataMut> GGSW<DataSelf> {
     pub fn automorphism<DataLhs: DataRef, DataAk: DataRef, DataTsk: DataRef, B: Backend>(
         &mut self,
         module: &Module<B>,
-        lhs: &GGSWCiphertext<DataLhs>,
-        auto_key: &GGLWEAutomorphismKeyPrepared<DataAk, B>,
-        tensor_key: &GGLWETensorKeyPrepared<DataTsk, B>,
+        lhs: &GGSW<DataLhs>,
+        auto_key: &AutomorphismKeyPrepared<DataAk, B>,
+        tensor_key: &TensorKeyPrepared<DataTsk, B>,
         scratch: &mut Scratch<B>,
     ) where
         Module<B>: VecZnxDftAllocBytes
@@ -121,7 +121,7 @@ impl<DataSelf: DataMut> GGSWCiphertext<DataSelf> {
                 self.rank(),
                 tensor_key.rank_out()
             );
-            assert!(scratch.available() >= GGSWCiphertext::automorphism_scratch_space(module, self, lhs, auto_key, tensor_key))
+            assert!(scratch.available() >= GGSW::automorphism_scratch_space(module, self, lhs, auto_key, tensor_key))
         };
 
         // Keyswitch the j-th row of the col 0
@@ -137,8 +137,8 @@ impl<DataSelf: DataMut> GGSWCiphertext<DataSelf> {
     pub fn automorphism_inplace<DataKsk: DataRef, DataTsk: DataRef, B: Backend>(
         &mut self,
         module: &Module<B>,
-        auto_key: &GGLWEAutomorphismKeyPrepared<DataKsk, B>,
-        tensor_key: &GGLWETensorKeyPrepared<DataTsk, B>,
+        auto_key: &AutomorphismKeyPrepared<DataKsk, B>,
+        tensor_key: &TensorKeyPrepared<DataTsk, B>,
         scratch: &mut Scratch<B>,
     ) where
         Module<B>: VecZnxDftAllocBytes
diff --git a/poulpy-core/src/automorphism/glwe_ct.rs b/poulpy-core/src/automorphism/glwe_ct.rs
index 79fcb12..f94b9bc 100644
--- a/poulpy-core/src/automorphism/glwe_ct.rs
+++ b/poulpy-core/src/automorphism/glwe_ct.rs
@@ -8,7 +8,7 @@ use poulpy_hal::{
     layouts::{Backend, DataMut, DataRef, Module, Scratch, VecZnxBig},
 };
 
-use crate::layouts::{GGLWEInfos, GLWECiphertext, GLWEInfos, LWEInfos, prepared::GGLWEAutomorphismKeyPrepared};
+use crate::layouts::{GGLWEInfos, GLWECiphertext, GLWEInfos, LWEInfos, prepared::AutomorphismKeyPrepared};
 
 impl GLWECiphertext<Vec<u8>> {
     pub fn automorphism_scratch_space<B: Backend, OUT, IN, KEY>(
@@ -41,7 +41,7 @@ impl<DataSelf: DataMut> GLWECiphertext<DataSelf> {
         &mut self,
         module: &Module<B>,
         lhs: &GLWECiphertext<DataLhs>,
-        rhs: &GGLWEAutomorphismKeyPrepared<DataRhs, B>,
+        rhs: &AutomorphismKeyPrepared<DataRhs, B>,
         scratch: &mut Scratch<B>,
     ) where
         Module<B>: VecZnxDftAllocBytes
@@ -67,7 +67,7 @@ impl<DataSelf: DataMut> GLWECiphertext<DataSelf> {
     pub fn automorphism_inplace<DataRhs: DataRef, B: Backend>(
         &mut self,
         module: &Module<B>,
-        rhs: &GGLWEAutomorphismKeyPrepared<DataRhs, B>,
+        rhs: &AutomorphismKeyPrepared<DataRhs, B>,
         scratch: &mut Scratch<B>,
     ) where
         Module<B>: VecZnxDftAllocBytes
@@ -94,7 +94,7 @@ impl<DataSelf: DataMut> GLWECiphertext<DataSelf> {
         &mut self,
         module: &Module<B>,
         lhs: &GLWECiphertext<DataLhs>,
-        rhs: &GGLWEAutomorphismKeyPrepared<DataRhs, B>,
+        rhs: &AutomorphismKeyPrepared<DataRhs, B>,
         scratch: &mut Scratch<B>,
     ) where
         Module<B>: VecZnxDftAllocBytes
@@ -135,7 +135,7 @@ impl<DataSelf: DataMut> GLWECiphertext<DataSelf> {
     pub fn automorphism_add_inplace<DataRhs: DataRef, B: Backend>(
         &mut self,
         module: &Module<B>,
-        rhs: &GGLWEAutomorphismKeyPrepared<DataRhs, B>,
+        rhs: &AutomorphismKeyPrepared<DataRhs, B>,
         scratch: &mut Scratch<B>,
     ) where
         Module<B>: VecZnxDftAllocBytes
@@ -177,7 +177,7 @@ impl<DataSelf: DataMut> GLWECiphertext<DataSelf> {
         &mut self,
         module: &Module<B>,
         lhs: &GLWECiphertext<DataLhs>,
-        rhs: &GGLWEAutomorphismKeyPrepared<DataRhs, B>,
+        rhs: &AutomorphismKeyPrepared<DataRhs, B>,
         scratch: &mut Scratch<B>,
     ) where
         Module<B>: VecZnxDftAllocBytes
@@ -219,7 +219,7 @@ impl<DataSelf: DataMut> GLWECiphertext<DataSelf> {
     pub fn automorphism_sub_inplace<DataRhs: DataRef, B: Backend>(
         &mut self,
         module: &Module<B>,
-        rhs: &GGLWEAutomorphismKeyPrepared<DataRhs, B>,
+        rhs: &AutomorphismKeyPrepared<DataRhs, B>,
         scratch: &mut Scratch<B>,
     ) where
         Module<B>: VecZnxDftAllocBytes
@@ -262,7 +262,7 @@ impl<DataSelf: DataMut> GLWECiphertext<DataSelf> {
         &mut self,
         module: &Module<B>,
         lhs: &GLWECiphertext<DataLhs>,
-        rhs: &GGLWEAutomorphismKeyPrepared<DataRhs, B>,
+        rhs: &AutomorphismKeyPrepared<DataRhs, B>,
         scratch: &mut Scratch<B>,
     ) where
         Module<B>: VecZnxDftAllocBytes
@@ -304,7 +304,7 @@ impl<DataSelf: DataMut> GLWECiphertext<DataSelf> {
     pub fn automorphism_sub_negate_inplace<DataRhs: DataRef, B: Backend>(
         &mut self,
         module: &Module<B>,
-        rhs: &GGLWEAutomorphismKeyPrepared<DataRhs, B>,
+        rhs: &AutomorphismKeyPrepared<DataRhs, B>,
         scratch: &mut Scratch<B>,
     ) where
         Module<B>: VecZnxDftAllocBytes
diff --git a/poulpy-core/src/encryption/compressed/gglwe_atk.rs b/poulpy-core/src/encryption/compressed/gglwe_atk.rs
index f202223..9665c19 100644
--- a/poulpy-core/src/encryption/compressed/gglwe_atk.rs
+++ b/poulpy-core/src/encryption/compressed/gglwe_atk.rs
@@ -9,18 +9,19 @@ use crate::{
     encryption::compressed::gglwe_ksk::GGLWEKeyCompressedEncryptSk,
     layouts::{
         GGLWEInfos, GLWEInfos, GLWESecret, GLWESecretToRef, LWEInfos,
-        compressed::{GGLWEAutomorphismKeyCompressed, GGLWEAutomorphismKeyCompressedToMut, GGLWEKeyCompressed},
+        compressed::{AutomorphismKeyCompressed, AutomorphismKeyCompressedToMut, GLWESwitchingKeyCompressed},
     },
 };
 
-impl GGLWEAutomorphismKeyCompressed<Vec<u8>> {
+impl AutomorphismKeyCompressed<Vec<u8>> {
     pub fn encrypt_sk_scratch_space<B: Backend, A>(module: &Module<B>, infos: &A) -> usize
     where
         A: GGLWEInfos,
         Module<B>: VecZnxNormalizeTmpBytes + VecZnxDftAllocBytes + VecZnxNormalizeTmpBytes + SvpPPolAllocBytes,
     {
         assert_eq!(module.n() as u32, infos.n());
-        GGLWEKeyCompressed::encrypt_sk_scratch_space(module, infos) + GLWESecret::alloc_bytes_with(infos.n(), infos.rank_out())
+        GLWESwitchingKeyCompressed::encrypt_sk_scratch_space(module, infos)
+            + GLWESecret::alloc_bytes_with(infos.n(), infos.rank_out())
     }
 }
 
@@ -34,7 +35,7 @@ pub trait GGLWEAutomorphismKeyCompressedEncryptSk<B: Backend> {
         source_xe: &mut Source,
         scratch: &mut Scratch<B>,
     ) where
-        R: GGLWEAutomorphismKeyCompressedToMut,
+        R: AutomorphismKeyCompressedToMut,
         S: GLWESecretToRef;
 }
 
@@ -53,10 +54,10 @@ where
         source_xe: &mut Source,
         scratch: &mut Scratch<B>,
     ) where
-        R: GGLWEAutomorphismKeyCompressedToMut,
+        R: AutomorphismKeyCompressedToMut,
         S: GLWESecretToRef,
     {
-        let res: &mut GGLWEAutomorphismKeyCompressed<&mut [u8]> = &mut res.to_mut();
+        let res: &mut AutomorphismKeyCompressed<&mut [u8]> = &mut res.to_mut();
         let sk: &GLWESecret<&[u8]> = &sk.to_ref();
 
         #[cfg(debug_assertions)]
@@ -65,10 +66,10 @@ where
             assert_eq!(res.rank_out(), res.rank_in());
             assert_eq!(sk.rank(), res.rank_out());
             assert!(
-                scratch.available() >= GGLWEAutomorphismKeyCompressed::encrypt_sk_scratch_space(self, res),
+                scratch.available() >= AutomorphismKeyCompressed::encrypt_sk_scratch_space(self, res),
                 "scratch.available(): {} < AutomorphismKey::encrypt_sk_scratch_space: {}",
                 scratch.available(),
-                GGLWEAutomorphismKeyCompressed::encrypt_sk_scratch_space(self, res)
+                AutomorphismKeyCompressed::encrypt_sk_scratch_space(self, res)
             )
         }
 
@@ -92,7 +93,7 @@ where
     }
 }
 
-impl<DataSelf: DataMut> GGLWEAutomorphismKeyCompressed<DataSelf> {
+impl<DataSelf: DataMut> AutomorphismKeyCompressed<DataSelf> {
     #[allow(clippy::too_many_arguments)]
     pub fn encrypt_sk<DataSk: DataRef, B: Backend>(
         &mut self,
diff --git a/poulpy-core/src/encryption/compressed/gglwe_ct.rs b/poulpy-core/src/encryption/compressed/gglwe_ct.rs
index c2b4de3..4939fe5 100644
--- a/poulpy-core/src/encryption/compressed/gglwe_ct.rs
+++ b/poulpy-core/src/encryption/compressed/gglwe_ct.rs
@@ -11,7 +11,7 @@ use crate::{
     TakeGLWEPt,
     encryption::{SIGMA, glwe_ct::GLWEEncryptSkInternal},
     layouts::{
-        GGLWECiphertext, GGLWEInfos, LWEInfos,
+        GGLWE, GGLWEInfos, LWEInfos,
         compressed::{GGLWECiphertextCompressed, GGLWECiphertextCompressedToMut},
         prepared::{GLWESecretPrepared, GLWESecretPreparedToRef},
     },
@@ -40,7 +40,7 @@ impl GGLWECiphertextCompressed<Vec<u8>> {
         A: GGLWEInfos,
         Module<B>: VecZnxNormalizeTmpBytes + VecZnxDftAllocBytes + VecZnxNormalizeTmpBytes,
     {
-        GGLWECiphertext::encrypt_sk_scratch_space(module, infos)
+        GGLWE::encrypt_sk_scratch_space(module, infos)
     }
 }
 
diff --git a/poulpy-core/src/encryption/compressed/gglwe_ksk.rs b/poulpy-core/src/encryption/compressed/gglwe_ksk.rs
index e5b3716..91f1856 100644
--- a/poulpy-core/src/encryption/compressed/gglwe_ksk.rs
+++ b/poulpy-core/src/encryption/compressed/gglwe_ksk.rs
@@ -11,25 +11,25 @@ use crate::{
     TakeGLWESecretPrepared,
     encryption::compressed::gglwe_ct::GGLWECompressedEncryptSk,
     layouts::{
-        Degree, GGLWECiphertext, GGLWEInfos, GLWEInfos, GLWESecret, GLWESecretToRef, LWEInfos,
-        compressed::{GGLWEKeyCompressed, GGLWEKeyCompressedToMut},
+        Degree, GGLWE, GGLWEInfos, GLWEInfos, GLWESecret, GLWESecretToRef, LWEInfos,
+        compressed::{GLWESwitchingKeyCompressed, GLWESwitchingKeyCompressedToMut},
         prepared::GLWESecretPrepared,
     },
 };
 
-impl GGLWEKeyCompressed<Vec<u8>> {
+impl GLWESwitchingKeyCompressed<Vec<u8>> {
     pub fn encrypt_sk_scratch_space<B: Backend, A>(module: &Module<B>, infos: &A) -> usize
     where
         A: GGLWEInfos,
         Module<B>: VecZnxNormalizeTmpBytes + VecZnxDftAllocBytes + VecZnxNormalizeTmpBytes + SvpPPolAllocBytes,
     {
-        (GGLWECiphertext::encrypt_sk_scratch_space(module, infos) | ScalarZnx::alloc_bytes(module.n(), 1))
+        (GGLWE::encrypt_sk_scratch_space(module, infos) | ScalarZnx::alloc_bytes(module.n(), 1))
             + ScalarZnx::alloc_bytes(module.n(), infos.rank_in().into())
             + GLWESecretPrepared::alloc_bytes_with(module, infos.rank_out())
     }
 }
 
-impl<DataSelf: DataMut> GGLWEKeyCompressed<DataSelf> {
+impl<DataSelf: DataMut> GLWESwitchingKeyCompressed<DataSelf> {
     #[allow(clippy::too_many_arguments)]
     pub fn encrypt_sk<DataSkIn: DataRef, DataSkOut: DataRef, B: Backend>(
         &mut self,
@@ -56,7 +56,7 @@ pub trait GGLWEKeyCompressedEncryptSk<B: Backend> {
         source_xe: &mut Source,
         scratch: &mut Scratch<B>,
     ) where
-        R: GGLWEKeyCompressedToMut,
+        R: GLWESwitchingKeyCompressedToMut,
         SI: GLWESecretToRef,
         SO: GLWESecretToRef;
 }
@@ -80,25 +80,25 @@ where
         source_xe: &mut Source,
         scratch: &mut Scratch<B>,
     ) where
-        R: GGLWEKeyCompressedToMut,
+        R: GLWESwitchingKeyCompressedToMut,
         SI: GLWESecretToRef,
         SO: GLWESecretToRef,
     {
-        let res: &mut GGLWEKeyCompressed<&mut [u8]> = &mut res.to_mut();
+        let res: &mut GLWESwitchingKeyCompressed<&mut [u8]> = &mut res.to_mut();
         let sk_in: &GLWESecret<&[u8]> = &sk_in.to_ref();
         let sk_out: &GLWESecret<&[u8]> = &sk_out.to_ref();
 
         #[cfg(debug_assertions)]
         {
-            use crate::layouts::GGLWESwitchingKey;
+            use crate::layouts::GLWESwitchingKey;
 
             assert!(sk_in.n().0 <= self.n() as u32);
             assert!(sk_out.n().0 <= self.n() as u32);
             assert!(
-                scratch.available() >= GGLWESwitchingKey::encrypt_sk_scratch_space(self, res),
+                scratch.available() >= GLWESwitchingKey::encrypt_sk_scratch_space(self, res),
                 "scratch.available()={} < GLWESwitchingKey::encrypt_sk_scratch_space={}",
                 scratch.available(),
-                GGLWESwitchingKey::encrypt_sk_scratch_space(self, res)
+                GLWESwitchingKey::encrypt_sk_scratch_space(self, res)
             )
         }
 
diff --git a/poulpy-core/src/encryption/compressed/gglwe_tsk.rs b/poulpy-core/src/encryption/compressed/gglwe_tsk.rs
index be78f3e..65012d6 100644
--- a/poulpy-core/src/encryption/compressed/gglwe_tsk.rs
+++ b/poulpy-core/src/encryption/compressed/gglwe_tsk.rs
@@ -11,20 +11,19 @@ use crate::{
     TakeGLWESecret, TakeGLWESecretPrepared,
     encryption::compressed::gglwe_ksk::GGLWEKeyCompressedEncryptSk,
     layouts::{
-        GGLWEInfos, GGLWETensorKey, GLWEInfos, GLWESecret, GLWESecretToRef, LWEInfos, Rank,
-        compressed::{GGLWETensorKeyCompressed, GGLWETensorKeyCompressedToMut},
-        prepared::Prepare,
+        GGLWEInfos, GLWEInfos, GLWESecret, GLWESecretToRef, LWEInfos, Rank, TensorKey,
+        compressed::{TensorKeyCompressed, TensorKeyCompressedToMut},
     },
 };
 
-impl GGLWETensorKeyCompressed<Vec<u8>> {
+impl TensorKeyCompressed<Vec<u8>> {
     pub fn encrypt_sk_scratch_space<B: Backend, A>(module: &Module<B>, infos: &A) -> usize
     where
         A: GGLWEInfos,
         Module<B>:
             SvpPPolAllocBytes + VecZnxNormalizeTmpBytes + VecZnxDftAllocBytes + VecZnxNormalizeTmpBytes + VecZnxBigAllocBytes,
     {
-        GGLWETensorKey::encrypt_sk_scratch_space(module, infos)
+        TensorKey::encrypt_sk_scratch_space(module, infos)
     }
 }
 
@@ -37,7 +36,7 @@ pub trait GGLWETensorKeyCompressedEncryptSk<B: Backend> {
         source_xe: &mut Source,
         scratch: &mut Scratch<B>,
     ) where
-        R: GGLWETensorKeyCompressedToMut,
+        R: TensorKeyCompressedToMut,
         S: GLWESecretToRef;
 }
 
@@ -59,10 +58,10 @@ where
         source_xe: &mut Source,
         scratch: &mut Scratch<B>,
     ) where
-        R: GGLWETensorKeyCompressedToMut,
+        R: TensorKeyCompressedToMut,
         S: GLWESecretToRef,
     {
-        let res: &mut GGLWETensorKeyCompressed<&mut [u8]> = &mut res.to_mut();
+        let res: &mut TensorKeyCompressed<&mut [u8]> = &mut res.to_mut();
         let sk: &GLWESecret<&[u8]> = &sk.to_ref();
 
         #[cfg(debug_assertions)]
@@ -119,7 +118,7 @@ where
     }
 }
 
-impl<DataSelf: DataMut> GGLWETensorKeyCompressed<DataSelf> {
+impl<DataSelf: DataMut> TensorKeyCompressed<DataSelf> {
     pub fn encrypt_sk<DataSk: DataRef, B: Backend>(
         &mut self,
         module: &Module<B>,
diff --git a/poulpy-core/src/encryption/compressed/ggsw_ct.rs b/poulpy-core/src/encryption/compressed/ggsw_ct.rs
index bdad6be..e9e5017 100644
--- a/poulpy-core/src/encryption/compressed/ggsw_ct.rs
+++ b/poulpy-core/src/encryption/compressed/ggsw_ct.rs
@@ -8,7 +8,7 @@ use crate::{
     TakeGLWEPt,
     encryption::{SIGMA, glwe_ct::GLWEEncryptSkInternal},
     layouts::{
-        GGSWCiphertext, GGSWInfos, GLWEInfos, LWEInfos,
+        GGSW, GGSWInfos, GLWEInfos, LWEInfos,
         compressed::{GGSWCiphertextCompressed, GGSWCiphertextCompressedToMut},
         prepared::{GLWESecretPrepared, GLWESecretPreparedToRef},
     },
@@ -20,7 +20,7 @@ impl GGSWCiphertextCompressed<Vec<u8>> {
         A: GGSWInfos,
         Module<B>: VecZnxNormalizeTmpBytes + VecZnxDftAllocBytes,
     {
-        GGSWCiphertext::encrypt_sk_scratch_space(module, infos)
+        GGSW::encrypt_sk_scratch_space(module, infos)
     }
 }
 
diff --git a/poulpy-core/src/encryption/compressed/glwe_ct.rs b/poulpy-core/src/encryption/compressed/glwe_ct.rs
index 834f968..86f86cc 100644
--- a/poulpy-core/src/encryption/compressed/glwe_ct.rs
+++ b/poulpy-core/src/encryption/compressed/glwe_ct.rs
@@ -1,17 +1,15 @@
 use poulpy_hal::{
-    api::{
-        ScratchAvailable, SvpApplyDftToDftInplace, TakeVecZnx, TakeVecZnxDft, VecZnxAddInplace, VecZnxAddNormal,
-        VecZnxBigNormalize, VecZnxDftAllocBytes, VecZnxDftApply, VecZnxFillUniform, VecZnxIdftApplyConsume, VecZnxNormalize,
-        VecZnxNormalizeInplace, VecZnxNormalizeTmpBytes, VecZnxSub, VecZnxSubInplace,
-    },
+    api::{VecZnxDftAllocBytes, VecZnxNormalizeTmpBytes},
     layouts::{Backend, DataMut, DataRef, Module, Scratch},
     source::Source,
 };
 
 use crate::{
-    encryption::{SIGMA, glwe_ct::glwe_encrypt_sk_internal},
+    encryption::{SIGMA, glwe_ct::GLWEEncryptSkInternal},
     layouts::{
-        GLWECiphertext, GLWEInfos, GLWEPlaintext, LWEInfos, compressed::GLWECiphertextCompressed, prepared::GLWESecretPrepared,
+        GLWECiphertext, GLWEInfos, GLWEPlaintext, GLWEPlaintextToRef, LWEInfos,
+        compressed::{GLWECiphertextCompressed, GLWECiphertextCompressedToMut},
+        prepared::{GLWESecretPrepared, GLWESecretPreparedToRef},
     },
 };
 
@@ -25,6 +23,60 @@ impl GLWECiphertextCompressed<Vec<u8>> {
     }
 }
 
+pub trait GLWECompressedEncryptSk<B: Backend> {
+    fn glwe_compressed_encrypt_sk<R, P, S>(
+        &self,
+        res: &mut R,
+        pt: &P,
+        sk: &S,
+        seed_xa: [u8; 32],
+        source_xe: &mut Source,
+        scratch: &mut Scratch<B>,
+    ) where
+        R: GLWECiphertextCompressedToMut,
+        P: GLWEPlaintextToRef,
+        S: GLWESecretPreparedToRef<B>;
+}
+
+impl<B: Backend> GLWECompressedEncryptSk<B> for Module<B>
+where
+    Module<B>: GLWEEncryptSkInternal<B>,
+{
+    fn glwe_compressed_encrypt_sk<R, P, S>(
+        &self,
+        res: &mut R,
+        pt: &P,
+        sk: &S,
+        seed_xa: [u8; 32],
+        source_xe: &mut Source,
+        scratch: &mut Scratch<B>,
+    ) where
+        R: GLWECiphertextCompressedToMut,
+        P: GLWEPlaintextToRef,
+        S: GLWESecretPreparedToRef<B>,
+    {
+        let res: &mut GLWECiphertextCompressed<&mut [u8]> = &mut res.to_mut();
+        let mut source_xa: Source = Source::new(seed_xa);
+        let cols: usize = (res.rank() + 1).into();
+
+        self.glwe_encrypt_sk_internal(
+            res.base2k().into(),
+            res.k().into(),
+            &mut res.data,
+            cols,
+            true,
+            Some((pt, 0)),
+            sk,
+            &mut source_xa,
+            source_xe,
+            SIGMA,
+            scratch,
+        );
+
+        res.seed = seed_xa;
+    }
+}
+
 impl<D: DataMut> GLWECiphertextCompressed<D> {
     #[allow(clippy::too_many_arguments)]
     pub fn encrypt_sk<DataPt: DataRef, DataSk: DataRef, B: Backend>(
@@ -36,65 +88,8 @@ impl<D: DataMut> GLWECiphertextCompressed<D> {
         source_xe: &mut Source,
         scratch: &mut Scratch<B>,
     ) where
-        Module<B>: VecZnxDftAllocBytes
-            + VecZnxBigNormalize<B>
-            + VecZnxDftApply<B>
-            + SvpApplyDftToDftInplace<B>
-            + VecZnxIdftApplyConsume<B>
-            + VecZnxNormalizeTmpBytes
-            + VecZnxFillUniform
-            + VecZnxSubInplace
-            + VecZnxAddInplace
-            + VecZnxNormalizeInplace<B>
-            + VecZnxAddNormal
-            + VecZnxNormalize<B>
-            + VecZnxSub,
-        Scratch<B>: TakeVecZnxDft<B> + ScratchAvailable + TakeVecZnx,
+        Module<B>: GLWECompressedEncryptSk<B>,
     {
-        self.encrypt_sk_internal(module, Some((pt, 0)), sk, seed_xa, source_xe, scratch);
-    }
-
-    #[allow(clippy::too_many_arguments)]
-    pub(crate) fn encrypt_sk_internal<DataPt: DataRef, DataSk: DataRef, B: Backend>(
-        &mut self,
-        module: &Module<B>,
-        pt: Option<(&GLWEPlaintext<DataPt>, usize)>,
-        sk: &GLWESecretPrepared<DataSk, B>,
-        seed_xa: [u8; 32],
-        source_xe: &mut Source,
-        scratch: &mut Scratch<B>,
-    ) where
-        Module<B>: VecZnxDftAllocBytes
-            + VecZnxBigNormalize<B>
-            + VecZnxDftApply<B>
-            + SvpApplyDftToDftInplace<B>
-            + VecZnxIdftApplyConsume<B>
-            + VecZnxNormalizeTmpBytes
-            + VecZnxFillUniform
-            + VecZnxSubInplace
-            + VecZnxAddInplace
-            + VecZnxNormalizeInplace<B>
-            + VecZnxAddNormal
-            + VecZnxNormalize<B>
-            + VecZnxSub,
-        Scratch<B>: TakeVecZnxDft<B> + ScratchAvailable + TakeVecZnx,
-    {
-        let mut source_xa = Source::new(seed_xa);
-        let cols: usize = (self.rank() + 1).into();
-        glwe_encrypt_sk_internal(
-            module,
-            self.base2k().into(),
-            self.k().into(),
-            &mut self.data,
-            cols,
-            true,
-            pt,
-            sk,
-            &mut source_xa,
-            source_xe,
-            SIGMA,
-            scratch,
-        );
-        self.seed = seed_xa;
+        module.glwe_compressed_encrypt_sk(self, pt, sk, seed_xa, source_xe, scratch);
     }
 }
diff --git a/poulpy-core/src/encryption/gglwe_atk.rs b/poulpy-core/src/encryption/gglwe_atk.rs
index 9065c2e..a269847 100644
--- a/poulpy-core/src/encryption/gglwe_atk.rs
+++ b/poulpy-core/src/encryption/gglwe_atk.rs
@@ -12,12 +12,11 @@ use poulpy_hal::{
 use crate::{
     TakeGLWESecret, TakeGLWESecretPrepared,
     layouts::{
-        GGLWEAutomorphismKey, GGLWEAutomorphismKeyToMut, GGLWEInfos, GGLWESwitchingKey, GLWEInfos, GLWESecret, GLWESecretToRef,
-        LWEInfos,
+        AutomorphismKey, AutomorphismKeyToMut, GGLWEInfos, GLWEInfos, GLWESecret, GLWESecretToRef, GLWESwitchingKey, LWEInfos,
     },
 };
 
-impl GGLWEAutomorphismKey<Vec<u8>> {
+impl AutomorphismKey<Vec<u8>> {
     pub fn encrypt_sk_scratch_space<BE: Backend, A>(module: &Module<BE>, infos: &A) -> usize
     where
         A: GGLWEInfos,
@@ -28,7 +27,7 @@ impl GGLWEAutomorphismKey<Vec<u8>> {
             infos.rank_out(),
             "rank_in != rank_out is not supported for GGLWEAutomorphismKey"
         );
-        GGLWESwitchingKey::encrypt_sk_scratch_space(module, infos) + GLWESecret::alloc_bytes(&infos.glwe_layout())
+        GLWESwitchingKey::encrypt_sk_scratch_space(module, infos) + GLWESecret::alloc_bytes(&infos.glwe_layout())
     }
 
     pub fn encrypt_pk_scratch_space<BE: Backend, A>(module: &Module<BE>, _infos: &A) -> usize
@@ -40,7 +39,7 @@ impl GGLWEAutomorphismKey<Vec<u8>> {
             _infos.rank_out(),
             "rank_in != rank_out is not supported for GGLWEAutomorphismKey"
         );
-        GGLWESwitchingKey::encrypt_pk_scratch_space(module, _infos)
+        GLWESwitchingKey::encrypt_pk_scratch_space(module, _infos)
     }
 }
 
@@ -54,13 +53,13 @@ pub trait GGLWEAutomorphismKeyEncryptSk<BE: Backend> {
         source_xe: &mut Source,
         scratch: &mut Scratch<BE>,
     ) where
-        A: GGLWEAutomorphismKeyToMut,
+        A: AutomorphismKeyToMut,
         B: GLWESecretToRef;
 }
 
-impl<DM: DataMut> GGLWEAutomorphismKey<DM>
+impl<DM: DataMut> AutomorphismKey<DM>
 where
-    Self: GGLWEAutomorphismKeyToMut,
+    Self: AutomorphismKeyToMut,
 {
     pub fn encrypt_sk<S, BE: Backend>(
         &mut self,
@@ -109,10 +108,10 @@ where
         source_xe: &mut Source,
         scratch: &mut Scratch<BE>,
     ) where
-        A: GGLWEAutomorphismKeyToMut,
+        A: AutomorphismKeyToMut,
         B: GLWESecretToRef,
     {
-        let res: &mut GGLWEAutomorphismKey<&mut [u8]> = &mut res.to_mut();
+        let res: &mut AutomorphismKey<&mut [u8]> = &mut res.to_mut();
         let sk: &GLWESecret<&[u8]> = &sk.to_ref();
 
         #[cfg(debug_assertions)]
@@ -123,10 +122,10 @@ where
             assert_eq!(res.rank_out(), res.rank_in());
             assert_eq!(sk.rank(), res.rank_out());
             assert!(
-                scratch.available() >= GGLWEAutomorphismKey::encrypt_sk_scratch_space(self, res),
+                scratch.available() >= AutomorphismKey::encrypt_sk_scratch_space(self, res),
                 "scratch.available(): {} < AutomorphismKey::encrypt_sk_scratch_space: {:?}",
                 scratch.available(),
-                GGLWEAutomorphismKey::encrypt_sk_scratch_space(self, res)
+                AutomorphismKey::encrypt_sk_scratch_space(self, res)
             )
         }
 
diff --git a/poulpy-core/src/encryption/gglwe_ct.rs b/poulpy-core/src/encryption/gglwe_ct.rs
index 3928cf4..a7a98ce 100644
--- a/poulpy-core/src/encryption/gglwe_ct.rs
+++ b/poulpy-core/src/encryption/gglwe_ct.rs
@@ -11,12 +11,12 @@ use crate::{
     TakeGLWEPt,
     encryption::glwe_ct::GLWEEncryptSk,
     layouts::{
-        GGLWECiphertext, GGLWECiphertextToMut, GGLWEInfos, GLWECiphertext, GLWEPlaintext, LWEInfos,
+        GGLWE, GGLWECiphertextToMut, GGLWEInfos, GLWECiphertext, GLWEPlaintext, LWEInfos,
         prepared::{GLWESecretPrepared, GLWESecretPreparedToRef},
     },
 };
 
-impl GGLWECiphertext<Vec<u8>> {
+impl GGLWE<Vec<u8>> {
     pub fn encrypt_sk_scratch_space<B: Backend, A>(module: &Module<B>, infos: &A) -> usize
     where
         A: GGLWEInfos,
@@ -68,7 +68,7 @@ where
         P: ScalarZnxToRef,
         S: GLWESecretPreparedToRef<B>,
     {
-        let res: &mut GGLWECiphertext<&mut [u8]> = &mut res.to_mut();
+        let res: &mut GGLWE<&mut [u8]> = &mut res.to_mut();
         let pt: &ScalarZnx<&[u8]> = &pt.to_ref();
 
         #[cfg(debug_assertions)]
@@ -93,12 +93,12 @@ where
             assert_eq!(res.n(), sk.n());
             assert_eq!(pt.n() as u32, sk.n());
             assert!(
-                scratch.available() >= GGLWECiphertext::encrypt_sk_scratch_space(self, res),
+                scratch.available() >= GGLWE::encrypt_sk_scratch_space(self, res),
                 "scratch.available: {} < GGLWECiphertext::encrypt_sk_scratch_space(self, res.rank()={}, res.size()={}): {}",
                 scratch.available(),
                 res.rank_out(),
                 res.size(),
-                GGLWECiphertext::encrypt_sk_scratch_space(self, res)
+                GGLWE::encrypt_sk_scratch_space(self, res)
             );
             assert!(
                 res.dnum().0 * res.dsize().0 * res.base2k().0 <= res.k().0,
@@ -148,7 +148,7 @@ where
     }
 }
 
-impl<DataSelf: DataMut> GGLWECiphertext<DataSelf> {
+impl<DataSelf: DataMut> GGLWE<DataSelf> {
     #[allow(clippy::too_many_arguments)]
     pub fn encrypt_sk<DataPt: DataRef, DataSk: DataRef, B: Backend>(
         &mut self,
diff --git a/poulpy-core/src/encryption/gglwe_ksk.rs b/poulpy-core/src/encryption/gglwe_ksk.rs
index 0629bec..ce10a51 100644
--- a/poulpy-core/src/encryption/gglwe_ksk.rs
+++ b/poulpy-core/src/encryption/gglwe_ksk.rs
@@ -11,18 +11,16 @@ use poulpy_hal::{
 
 use crate::{
     TakeGLWESecretPrepared,
-    layouts::{
-        Degree, GGLWECiphertext, GGLWEInfos, GGLWESwitchingKey, GLWEInfos, GLWESecret, LWEInfos, prepared::GLWESecretPrepared,
-    },
+    layouts::{Degree, GGLWE, GGLWEInfos, GLWEInfos, GLWESecret, GLWESwitchingKey, LWEInfos, prepared::GLWESecretPrepared},
 };
 
-impl GGLWESwitchingKey<Vec<u8>> {
+impl GLWESwitchingKey<Vec<u8>> {
     pub fn encrypt_sk_scratch_space<B: Backend, A>(module: &Module<B>, infos: &A) -> usize
     where
         A: GGLWEInfos,
         Module<B>: SvpPPolAllocBytes + VecZnxNormalizeTmpBytes + VecZnxDftAllocBytes + VecZnxNormalizeTmpBytes,
     {
-        (GGLWECiphertext::encrypt_sk_scratch_space(module, infos) | ScalarZnx::alloc_bytes(module.n(), 1))
+        (GGLWE::encrypt_sk_scratch_space(module, infos) | ScalarZnx::alloc_bytes(module.n(), 1))
             + ScalarZnx::alloc_bytes(module.n(), infos.rank_in().into())
             + GLWESecretPrepared::alloc_bytes(module, &infos.glwe_layout())
     }
@@ -31,11 +29,11 @@ impl GGLWESwitchingKey<Vec<u8>> {
     where
         A: GGLWEInfos,
     {
-        GGLWECiphertext::encrypt_pk_scratch_space(module, _infos)
+        GGLWE::encrypt_pk_scratch_space(module, _infos)
     }
 }
 
-impl<DataSelf: DataMut> GGLWESwitchingKey<DataSelf> {
+impl<DataSelf: DataMut> GLWESwitchingKey<DataSelf> {
     #[allow(clippy::too_many_arguments)]
     pub fn encrypt_sk<DataSkIn: DataRef, DataSkOut: DataRef, B: Backend>(
         &mut self,
@@ -70,10 +68,10 @@ impl<DataSelf: DataMut> GGLWESwitchingKey<DataSelf> {
             assert!(sk_in.n().0 <= module.n() as u32);
             assert!(sk_out.n().0 <= module.n() as u32);
             assert!(
-                scratch.available() >= GGLWESwitchingKey::encrypt_sk_scratch_space(module, self),
+                scratch.available() >= GLWESwitchingKey::encrypt_sk_scratch_space(module, self),
                 "scratch.available()={} < GLWESwitchingKey::encrypt_sk_scratch_space={}",
                 scratch.available(),
-                GGLWESwitchingKey::encrypt_sk_scratch_space(module, self)
+                GLWESwitchingKey::encrypt_sk_scratch_space(module, self)
             )
         }
 
diff --git a/poulpy-core/src/encryption/gglwe_tsk.rs b/poulpy-core/src/encryption/gglwe_tsk.rs
index 1946929..50a646a 100644
--- a/poulpy-core/src/encryption/gglwe_tsk.rs
+++ b/poulpy-core/src/encryption/gglwe_tsk.rs
@@ -12,12 +12,11 @@ use poulpy_hal::{
 use crate::{
     TakeGLWESecret, TakeGLWESecretPrepared,
     layouts::{
-        Degree, GGLWEInfos, GGLWESwitchingKey, GGLWETensorKey, GLWEInfos, GLWESecret, LWEInfos, Rank,
-        prepared::{GLWESecretPrepared, Prepare},
+        Degree, GGLWEInfos, GLWEInfos, GLWESecret, GLWESwitchingKey, LWEInfos, Rank, TensorKey, prepared::GLWESecretPrepared,
     },
 };
 
-impl GGLWETensorKey<Vec<u8>> {
+impl TensorKey<Vec<u8>> {
     pub fn encrypt_sk_scratch_space<B: Backend, A>(module: &Module<B>, infos: &A) -> usize
     where
         A: GGLWEInfos,
@@ -29,11 +28,11 @@ impl GGLWETensorKey<Vec<u8>> {
             + module.vec_znx_big_alloc_bytes(1, 1)
             + module.vec_znx_dft_alloc_bytes(1, 1)
             + GLWESecret::alloc_bytes_with(Degree(module.n() as u32), Rank(1))
-            + GGLWESwitchingKey::encrypt_sk_scratch_space(module, infos)
+            + GLWESwitchingKey::encrypt_sk_scratch_space(module, infos)
     }
 }
 
-impl<DataSelf: DataMut> GGLWETensorKey<DataSelf> {
+impl<DataSelf: DataMut> TensorKey<DataSelf> {
     pub fn encrypt_sk<DataSk: DataRef, B: Backend>(
         &mut self,
         module: &Module<B>,
diff --git a/poulpy-core/src/encryption/ggsw_ct.rs b/poulpy-core/src/encryption/ggsw_ct.rs
index d9e35bd..ad713b5 100644
--- a/poulpy-core/src/encryption/ggsw_ct.rs
+++ b/poulpy-core/src/encryption/ggsw_ct.rs
@@ -8,12 +8,12 @@ use crate::{
     SIGMA, TakeGLWEPt,
     encryption::glwe_ct::GLWEEncryptSkInternal,
     layouts::{
-        GGSWCiphertext, GGSWCiphertextToMut, GGSWInfos, GLWECiphertext, GLWEInfos, LWEInfos,
+        GGSW, GGSWInfos, GGSWToMut, GLWECiphertext, GLWEInfos, LWEInfos,
         prepared::{GLWESecretPrepared, GLWESecretPreparedToRef},
     },
 };
 
-impl GGSWCiphertext<Vec<u8>> {
+impl GGSW<Vec<u8>> {
     pub fn encrypt_sk_scratch_space<B: Backend, A>(module: &Module<B>, infos: &A) -> usize
     where
         A: GGSWInfos,
@@ -37,7 +37,7 @@ pub trait GGSWEncryptSk<B: Backend> {
         source_xe: &mut Source,
         scratch: &mut Scratch<B>,
     ) where
-        R: GGSWCiphertextToMut,
+        R: GGSWToMut,
         P: ScalarZnxToRef,
         S: GLWESecretPreparedToRef<B>;
 }
@@ -56,11 +56,11 @@ where
         source_xe: &mut Source,
         scratch: &mut Scratch<B>,
     ) where
-        R: GGSWCiphertextToMut,
+        R: GGSWToMut,
         P: ScalarZnxToRef,
         S: GLWESecretPreparedToRef<B>,
     {
-        let res: &mut GGSWCiphertext<&mut [u8]> = &mut res.to_mut();
+        let res: &mut GGSW<&mut [u8]> = &mut res.to_mut();
         let pt: &ScalarZnx<&[u8]> = &pt.to_ref();
         let sk: &GLWESecretPrepared<&[u8], B> = &sk.to_ref();
 
@@ -106,7 +106,7 @@ where
     }
 }
 
-impl<DataSelf: DataMut> GGSWCiphertext<DataSelf> {
+impl<DataSelf: DataMut> GGSW<DataSelf> {
     #[allow(clippy::too_many_arguments)]
     pub fn encrypt_sk<DataPt: DataRef, DataSk: DataRef, B: Backend>(
         &mut self,
diff --git a/poulpy-core/src/encryption/glwe_to_lwe_ksk.rs b/poulpy-core/src/encryption/glwe_to_lwe_ksk.rs
index b65ce4e..aee218d 100644
--- a/poulpy-core/src/encryption/glwe_to_lwe_ksk.rs
+++ b/poulpy-core/src/encryption/glwe_to_lwe_ksk.rs
@@ -11,22 +11,24 @@ use poulpy_hal::{
 
 use crate::{
     TakeGLWESecret, TakeGLWESecretPrepared,
-    layouts::{GGLWEInfos, GGLWESwitchingKey, GLWESecret, GLWEToLWEKey, LWEInfos, LWESecret, Rank, prepared::GLWESecretPrepared},
+    layouts::{
+        GGLWEInfos, GLWESecret, GLWESwitchingKey, GLWEToLWESwitchingKey, LWEInfos, LWESecret, Rank, prepared::GLWESecretPrepared,
+    },
 };
 
-impl GLWEToLWEKey<Vec<u8>> {
+impl GLWEToLWESwitchingKey<Vec<u8>> {
     pub fn encrypt_sk_scratch_space<B: Backend, A>(module: &Module<B>, infos: &A) -> usize
     where
         A: GGLWEInfos,
         Module<B>: SvpPPolAllocBytes + VecZnxNormalizeTmpBytes + VecZnxDftAllocBytes + VecZnxNormalizeTmpBytes,
     {
         GLWESecretPrepared::alloc_bytes_with(module, infos.rank_in())
-            + (GGLWESwitchingKey::encrypt_sk_scratch_space(module, infos)
+            + (GLWESwitchingKey::encrypt_sk_scratch_space(module, infos)
                 | GLWESecret::alloc_bytes_with(infos.n(), infos.rank_in()))
     }
 }
 
-impl<D: DataMut> GLWEToLWEKey<D> {
+impl<D: DataMut> GLWEToLWESwitchingKey<D> {
     #[allow(clippy::too_many_arguments)]
     pub fn encrypt_sk<DLwe, DGlwe, B: Backend>(
         &mut self,
diff --git a/poulpy-core/src/encryption/lwe_ksk.rs b/poulpy-core/src/encryption/lwe_ksk.rs
index 66ae685..4c8b866 100644
--- a/poulpy-core/src/encryption/lwe_ksk.rs
+++ b/poulpy-core/src/encryption/lwe_ksk.rs
@@ -12,7 +12,7 @@ use poulpy_hal::{
 use crate::{
     TakeGLWESecret, TakeGLWESecretPrepared,
     layouts::{
-        Degree, GGLWEInfos, GGLWESwitchingKey, GLWESecret, LWEInfos, LWESecret, LWESwitchingKey, Rank,
+        Degree, GGLWEInfos, GLWESecret, GLWESwitchingKey, LWEInfos, LWESecret, LWESwitchingKey, Rank,
         prepared::GLWESecretPrepared,
     },
 };
@@ -40,7 +40,7 @@ impl LWESwitchingKey<Vec<u8>> {
         );
         GLWESecret::alloc_bytes_with(Degree(module.n() as u32), Rank(1))
             + GLWESecretPrepared::alloc_bytes_with(module, Rank(1))
-            + GGLWESwitchingKey::encrypt_sk_scratch_space(module, infos)
+            + GLWESwitchingKey::encrypt_sk_scratch_space(module, infos)
     }
 }
 
diff --git a/poulpy-core/src/encryption/lwe_to_glwe_ksk.rs b/poulpy-core/src/encryption/lwe_to_glwe_ksk.rs
index 204e84b..5cb9339 100644
--- a/poulpy-core/src/encryption/lwe_to_glwe_ksk.rs
+++ b/poulpy-core/src/encryption/lwe_to_glwe_ksk.rs
@@ -11,7 +11,7 @@ use poulpy_hal::{
 
 use crate::{
     TakeGLWESecret, TakeGLWESecretPrepared,
-    layouts::{Degree, GGLWEInfos, GGLWESwitchingKey, GLWESecret, LWEInfos, LWESecret, LWEToGLWESwitchingKey, Rank},
+    layouts::{Degree, GGLWEInfos, GLWESecret, GLWESwitchingKey, LWEInfos, LWESecret, LWEToGLWESwitchingKey, Rank},
 };
 
 impl LWEToGLWESwitchingKey<Vec<u8>> {
@@ -25,7 +25,7 @@ impl LWEToGLWESwitchingKey<Vec<u8>> {
             Rank(1),
             "rank_in != 1 is not supported for LWEToGLWESwitchingKey"
         );
-        GGLWESwitchingKey::encrypt_sk_scratch_space(module, infos)
+        GLWESwitchingKey::encrypt_sk_scratch_space(module, infos)
             + GLWESecret::alloc_bytes_with(Degree(module.n() as u32), infos.rank_in())
     }
 }
diff --git a/poulpy-core/src/external_product/gglwe_atk.rs b/poulpy-core/src/external_product/gglwe_atk.rs
index cb35a4c..7228c28 100644
--- a/poulpy-core/src/external_product/gglwe_atk.rs
+++ b/poulpy-core/src/external_product/gglwe_atk.rs
@@ -7,9 +7,9 @@ use poulpy_hal::{
     layouts::{Backend, DataMut, DataRef, Module, Scratch},
 };
 
-use crate::layouts::{GGLWEAutomorphismKey, GGLWEInfos, GGLWESwitchingKey, GGSWInfos, prepared::GGSWCiphertextPrepared};
+use crate::layouts::{AutomorphismKey, GGLWEInfos, GGSWInfos, GLWESwitchingKey, prepared::GGSWPrepared};
 
-impl GGLWEAutomorphismKey<Vec<u8>> {
+impl AutomorphismKey<Vec<u8>> {
     pub fn external_product_scratch_space<B: Backend, OUT, IN, GGSW>(
         module: &Module<B>,
         out_infos: &OUT,
@@ -22,7 +22,7 @@ impl GGLWEAutomorphismKey<Vec<u8>> {
         GGSW: GGSWInfos,
         Module<B>: VecZnxDftAllocBytes + VmpApplyDftToDftTmpBytes + VecZnxNormalizeTmpBytes,
     {
-        GGLWESwitchingKey::external_product_scratch_space(module, out_infos, in_infos, ggsw_infos)
+        GLWESwitchingKey::external_product_scratch_space(module, out_infos, in_infos, ggsw_infos)
     }
 
     pub fn external_product_inplace_scratch_space<B: Backend, OUT, GGSW>(
@@ -35,16 +35,16 @@ impl GGLWEAutomorphismKey<Vec<u8>> {
         GGSW: GGSWInfos,
         Module<B>: VecZnxDftAllocBytes + VmpApplyDftToDftTmpBytes + VecZnxNormalizeTmpBytes,
     {
-        GGLWESwitchingKey::external_product_inplace_scratch_space(module, out_infos, ggsw_infos)
+        GLWESwitchingKey::external_product_inplace_scratch_space(module, out_infos, ggsw_infos)
     }
 }
 
-impl<DataSelf: DataMut> GGLWEAutomorphismKey<DataSelf> {
+impl<DataSelf: DataMut> AutomorphismKey<DataSelf> {
     pub fn external_product<DataLhs: DataRef, DataRhs: DataRef, B: Backend>(
         &mut self,
         module: &Module<B>,
-        lhs: &GGLWEAutomorphismKey<DataLhs>,
-        rhs: &GGSWCiphertextPrepared<DataRhs, B>,
+        lhs: &AutomorphismKey<DataLhs>,
+        rhs: &GGSWPrepared<DataRhs, B>,
         scratch: &mut Scratch<B>,
     ) where
         Module<B>: VecZnxDftAllocBytes
@@ -64,7 +64,7 @@ impl<DataSelf: DataMut> GGLWEAutomorphismKey<DataSelf> {
     pub fn external_product_inplace<DataRhs: DataRef, B: Backend>(
         &mut self,
         module: &Module<B>,
-        rhs: &GGSWCiphertextPrepared<DataRhs, B>,
+        rhs: &GGSWPrepared<DataRhs, B>,
         scratch: &mut Scratch<B>,
     ) where
         Module<B>: VecZnxDftAllocBytes
diff --git a/poulpy-core/src/external_product/gglwe_ksk.rs b/poulpy-core/src/external_product/gglwe_ksk.rs
index 2eff45c..bfeb146 100644
--- a/poulpy-core/src/external_product/gglwe_ksk.rs
+++ b/poulpy-core/src/external_product/gglwe_ksk.rs
@@ -7,9 +7,9 @@ use poulpy_hal::{
     layouts::{Backend, DataMut, DataRef, Module, Scratch, ZnxZero},
 };
 
-use crate::layouts::{GGLWEInfos, GGLWESwitchingKey, GGSWInfos, GLWECiphertext, prepared::GGSWCiphertextPrepared};
+use crate::layouts::{GGLWEInfos, GGSWInfos, GLWECiphertext, GLWESwitchingKey, prepared::GGSWPrepared};
 
-impl GGLWESwitchingKey<Vec<u8>> {
+impl GLWESwitchingKey<Vec<u8>> {
     pub fn external_product_scratch_space<B: Backend, OUT, IN, GGSW>(
         module: &Module<B>,
         out_infos: &OUT,
@@ -44,12 +44,12 @@ impl GGLWESwitchingKey<Vec<u8>> {
     }
 }
 
-impl<DataSelf: DataMut> GGLWESwitchingKey<DataSelf> {
+impl<DataSelf: DataMut> GLWESwitchingKey<DataSelf> {
     pub fn external_product<DataLhs: DataRef, DataRhs: DataRef, B: Backend>(
         &mut self,
         module: &Module<B>,
-        lhs: &GGLWESwitchingKey<DataLhs>,
-        rhs: &GGSWCiphertextPrepared<DataRhs, B>,
+        lhs: &GLWESwitchingKey<DataLhs>,
+        rhs: &GGSWPrepared<DataRhs, B>,
         scratch: &mut Scratch<B>,
     ) where
         Module<B>: VecZnxDftAllocBytes
@@ -107,7 +107,7 @@ impl<DataSelf: DataMut> GGLWESwitchingKey<DataSelf> {
     pub fn external_product_inplace<DataRhs: DataRef, B: Backend>(
         &mut self,
         module: &Module<B>,
-        rhs: &GGSWCiphertextPrepared<DataRhs, B>,
+        rhs: &GGSWPrepared<DataRhs, B>,
         scratch: &mut Scratch<B>,
     ) where
         Module<B>: VecZnxDftAllocBytes
diff --git a/poulpy-core/src/external_product/ggsw_ct.rs b/poulpy-core/src/external_product/ggsw_ct.rs
index a458de1..1610cef 100644
--- a/poulpy-core/src/external_product/ggsw_ct.rs
+++ b/poulpy-core/src/external_product/ggsw_ct.rs
@@ -7,9 +7,9 @@ use poulpy_hal::{
     layouts::{Backend, DataMut, DataRef, Module, Scratch, ZnxZero},
 };
 
-use crate::layouts::{GGSWCiphertext, GGSWInfos, GLWECiphertext, GLWEInfos, prepared::GGSWCiphertextPrepared};
+use crate::layouts::{GGSW, GGSWInfos, GLWECiphertext, GLWEInfos, prepared::GGSWPrepared};
 
-impl GGSWCiphertext<Vec<u8>> {
+impl GGSW<Vec<u8>> {
     #[allow(clippy::too_many_arguments)]
     pub fn external_product_scratch_space<B: Backend, OUT, IN, GGSW>(
         module: &Module<B>,
@@ -45,12 +45,12 @@ impl GGSWCiphertext<Vec<u8>> {
     }
 }
 
-impl<DataSelf: DataMut> GGSWCiphertext<DataSelf> {
+impl<DataSelf: DataMut> GGSW<DataSelf> {
     pub fn external_product<DataLhs: DataRef, DataRhs: DataRef, B: Backend>(
         &mut self,
         module: &Module<B>,
-        lhs: &GGSWCiphertext<DataLhs>,
-        rhs: &GGSWCiphertextPrepared<DataRhs, B>,
+        lhs: &GGSW<DataLhs>,
+        rhs: &GGSWPrepared<DataRhs, B>,
         scratch: &mut Scratch<B>,
     ) where
         Module<B>: VecZnxDftAllocBytes
@@ -86,7 +86,7 @@ impl<DataSelf: DataMut> GGSWCiphertext<DataSelf> {
                 rhs.rank()
             );
 
-            assert!(scratch.available() >= GGSWCiphertext::external_product_scratch_space(module, self, lhs, rhs))
+            assert!(scratch.available() >= GGSW::external_product_scratch_space(module, self, lhs, rhs))
         }
 
         let min_dnum: usize = self.dnum().min(lhs.dnum()).into();
@@ -105,7 +105,7 @@ impl<DataSelf: DataMut> GGSWCiphertext<DataSelf> {
     pub fn external_product_inplace<DataRhs: DataRef, B: Backend>(
         &mut self,
         module: &Module<B>,
-        rhs: &GGSWCiphertextPrepared<DataRhs, B>,
+        rhs: &GGSWPrepared<DataRhs, B>,
         scratch: &mut Scratch<B>,
     ) where
         Module<B>: VecZnxDftAllocBytes
diff --git a/poulpy-core/src/external_product/glwe_ct.rs b/poulpy-core/src/external_product/glwe_ct.rs
index d764507..5a72049 100644
--- a/poulpy-core/src/external_product/glwe_ct.rs
+++ b/poulpy-core/src/external_product/glwe_ct.rs
@@ -11,7 +11,7 @@ use crate::{
     GLWEExternalProduct, GLWEExternalProductInplace,
     layouts::{
         GGSWInfos, GLWECiphertext, GLWECiphertextToMut, GLWECiphertextToRef, GLWEInfos, LWEInfos,
-        prepared::{GGSWCiphertextPrepared, GGSWCiphertextPreparedToRef},
+        prepared::{GGSWCiphertextPreparedToRef, GGSWPrepared},
     },
 };
 
@@ -74,7 +74,7 @@ impl<DataSelf: DataMut> GLWECiphertext<DataSelf> {
         &mut self,
         module: &Module<B>,
         lhs: &GLWECiphertext<DataLhs>,
-        rhs: &GGSWCiphertextPrepared<DataRhs, B>,
+        rhs: &GGSWPrepared<DataRhs, B>,
         scratch: &mut Scratch<B>,
     ) where
         Module<B>: GLWEExternalProduct<B>,
@@ -85,7 +85,7 @@ impl<DataSelf: DataMut> GLWECiphertext<DataSelf> {
     pub fn external_product_inplace<DataRhs: DataRef, B: Backend>(
         &mut self,
         module: &Module<B>,
-        rhs: &GGSWCiphertextPrepared<DataRhs, B>,
+        rhs: &GGSWPrepared<DataRhs, B>,
         scratch: &mut Scratch<B>,
     ) where
         Module<B>: GLWEExternalProductInplace<B>,
@@ -113,7 +113,7 @@ where
         D: GGSWCiphertextPreparedToRef<BE>,
     {
         let res: &mut GLWECiphertext<&mut [u8]> = &mut res.to_mut();
-        let rhs: &GGSWCiphertextPrepared<&[u8], BE> = &ggsw.to_ref();
+        let rhs: &GGSWPrepared<&[u8], BE> = &ggsw.to_ref();
 
         let basek_in: usize = res.base2k().into();
         let basek_ggsw: usize = rhs.base2k().into();
@@ -237,7 +237,7 @@ where
         let res: &mut GLWECiphertext<&mut [u8]> = &mut res.to_mut();
         let lhs: &GLWECiphertext<&[u8]> = &lhs.to_ref();
 
-        let rhs: &GGSWCiphertextPrepared<&[u8], BE> = &rhs.to_ref();
+        let rhs: &GGSWPrepared<&[u8], BE> = &rhs.to_ref();
 
         let basek_in: usize = lhs.base2k().into();
         let basek_ggsw: usize = rhs.base2k().into();
diff --git a/poulpy-core/src/glwe_packing.rs b/poulpy-core/src/glwe_packing.rs
index 3da962a..927e098 100644
--- a/poulpy-core/src/glwe_packing.rs
+++ b/poulpy-core/src/glwe_packing.rs
@@ -13,7 +13,7 @@ use poulpy_hal::{
 
 use crate::{
     GLWEOperations, TakeGLWECt,
-    layouts::{GGLWEInfos, GLWECiphertext, GLWEInfos, LWEInfos, prepared::GGLWEAutomorphismKeyPrepared},
+    layouts::{GGLWEInfos, GLWECiphertext, GLWEInfos, LWEInfos, prepared::AutomorphismKeyPrepared},
 };
 
 /// [GLWEPacker] enables only the fly GLWE packing
@@ -116,7 +116,7 @@ impl GLWEPacker {
         &mut self,
         module: &Module<B>,
         a: Option<&GLWECiphertext<DataA>>,
-        auto_keys: &HashMap<i64, GGLWEAutomorphismKeyPrepared<DataAK, B>>,
+        auto_keys: &HashMap<i64, AutomorphismKeyPrepared<DataAK, B>>,
         scratch: &mut Scratch<B>,
     ) where
         Module<B>: VecZnxDftAllocBytes
@@ -191,7 +191,7 @@ fn pack_core<D: DataRef, DataAK: DataRef, B: Backend>(
     a: Option<&GLWECiphertext<D>>,
     accumulators: &mut [Accumulator],
     i: usize,
-    auto_keys: &HashMap<i64, GGLWEAutomorphismKeyPrepared<DataAK, B>>,
+    auto_keys: &HashMap<i64, AutomorphismKeyPrepared<DataAK, B>>,
     scratch: &mut Scratch<B>,
 ) where
     Module<B>: VecZnxDftAllocBytes
@@ -285,7 +285,7 @@ fn combine<D: DataRef, DataAK: DataRef, B: Backend>(
     acc: &mut Accumulator,
     b: Option<&GLWECiphertext<D>>,
     i: usize,
-    auto_keys: &HashMap<i64, GGLWEAutomorphismKeyPrepared<DataAK, B>>,
+    auto_keys: &HashMap<i64, AutomorphismKeyPrepared<DataAK, B>>,
     scratch: &mut Scratch<B>,
 ) where
     Module<B>: VecZnxDftAllocBytes
@@ -397,7 +397,7 @@ pub fn glwe_packing<D: DataMut, ATK, B: Backend>(
     module: &Module<B>,
     cts: &mut HashMap<usize, &mut GLWECiphertext<D>>,
     log_gap_out: usize,
-    auto_keys: &HashMap<i64, GGLWEAutomorphismKeyPrepared<ATK, B>>,
+    auto_keys: &HashMap<i64, AutomorphismKeyPrepared<ATK, B>>,
     scratch: &mut Scratch<B>,
 ) where
     ATK: DataRef,
@@ -439,7 +439,7 @@ pub fn glwe_packing<D: DataMut, ATK, B: Backend>(
     (0..log_n - log_gap_out).for_each(|i| {
         let t: usize = (1 << log_n).min(1 << (log_n - 1 - i));
 
-        let auto_key: &GGLWEAutomorphismKeyPrepared<ATK, B> = if i == 0 {
+        let auto_key: &AutomorphismKeyPrepared<ATK, B> = if i == 0 {
             auto_keys.get(&-1).unwrap()
         } else {
             auto_keys.get(&module.galois_element(1 << (i - 1))).unwrap()
@@ -466,7 +466,7 @@ fn pack_internal<A: DataMut, D: DataMut, DataAK: DataRef, B: Backend>(
     a: &mut Option<&mut GLWECiphertext<A>>,
     b: &mut Option<&mut GLWECiphertext<D>>,
     i: usize,
-    auto_key: &GGLWEAutomorphismKeyPrepared<DataAK, B>,
+    auto_key: &AutomorphismKeyPrepared<DataAK, B>,
     scratch: &mut Scratch<B>,
 ) where
     Module<B>: VecZnxRotateInplace<B>
diff --git a/poulpy-core/src/glwe_trace.rs b/poulpy-core/src/glwe_trace.rs
index 4e1769e..397a7e1 100644
--- a/poulpy-core/src/glwe_trace.rs
+++ b/poulpy-core/src/glwe_trace.rs
@@ -11,9 +11,7 @@ use poulpy_hal::{
 
 use crate::{
     TakeGLWECt,
-    layouts::{
-        Base2K, GGLWEInfos, GLWECiphertext, GLWECiphertextLayout, GLWEInfos, LWEInfos, prepared::GGLWEAutomorphismKeyPrepared,
-    },
+    layouts::{Base2K, GGLWEInfos, GLWECiphertext, GLWECiphertextLayout, GLWEInfos, LWEInfos, prepared::AutomorphismKeyPrepared},
     operations::GLWEOperations,
 };
 
@@ -72,7 +70,7 @@ impl<DataSelf: DataMut> GLWECiphertext<DataSelf> {
         start: usize,
         end: usize,
         lhs: &GLWECiphertext<DataLhs>,
-        auto_keys: &HashMap<i64, GGLWEAutomorphismKeyPrepared<DataAK, B>>,
+        auto_keys: &HashMap<i64, AutomorphismKeyPrepared<DataAK, B>>,
         scratch: &mut Scratch<B>,
     ) where
         Module<B>: VecZnxDftAllocBytes
@@ -100,7 +98,7 @@ impl<DataSelf: DataMut> GLWECiphertext<DataSelf> {
         module: &Module<B>,
         start: usize,
         end: usize,
-        auto_keys: &HashMap<i64, GGLWEAutomorphismKeyPrepared<DataAK, B>>,
+        auto_keys: &HashMap<i64, AutomorphismKeyPrepared<DataAK, B>>,
         scratch: &mut Scratch<B>,
     ) where
         Module<B>: VecZnxDftAllocBytes
diff --git a/poulpy-core/src/keyswitching/gglwe_ct.rs b/poulpy-core/src/keyswitching/gglwe_ct.rs
index 9f6caa5..ee86cbc 100644
--- a/poulpy-core/src/keyswitching/gglwe_ct.rs
+++ b/poulpy-core/src/keyswitching/gglwe_ct.rs
@@ -8,11 +8,11 @@ use poulpy_hal::{
 };
 
 use crate::layouts::{
-    GGLWEAutomorphismKey, GGLWEInfos, GGLWESwitchingKey, GLWECiphertext, GLWEInfos,
-    prepared::{GGLWEAutomorphismKeyPrepared, GGLWESwitchingKeyPrepared},
+    AutomorphismKey, GGLWEInfos, GLWECiphertext, GLWEInfos, GLWESwitchingKey,
+    prepared::{AutomorphismKeyPrepared, GLWESwitchingKeyPrepared},
 };
 
-impl GGLWEAutomorphismKey<Vec<u8>> {
+impl AutomorphismKey<Vec<u8>> {
     pub fn keyswitch_scratch_space<B: Backend, OUT, IN, KEY>(
         module: &Module<B>,
         out_infos: &OUT,
@@ -25,7 +25,7 @@ impl GGLWEAutomorphismKey<Vec<u8>> {
         KEY: GGLWEInfos,
         Module<B>: VecZnxDftAllocBytes + VmpApplyDftToDftTmpBytes + VecZnxBigNormalizeTmpBytes + VecZnxNormalizeTmpBytes,
     {
-        GGLWESwitchingKey::keyswitch_scratch_space(module, out_infos, in_infos, key_infos)
+        GLWESwitchingKey::keyswitch_scratch_space(module, out_infos, in_infos, key_infos)
     }
 
     pub fn keyswitch_inplace_scratch_space<B: Backend, OUT, KEY>(module: &Module<B>, out_infos: &OUT, key_infos: &KEY) -> usize
@@ -34,16 +34,16 @@ impl GGLWEAutomorphismKey<Vec<u8>> {
         KEY: GGLWEInfos,
         Module<B>: VecZnxDftAllocBytes + VmpApplyDftToDftTmpBytes + VecZnxBigNormalizeTmpBytes + VecZnxNormalizeTmpBytes,
     {
-        GGLWESwitchingKey::keyswitch_inplace_scratch_space(module, out_infos, key_infos)
+        GLWESwitchingKey::keyswitch_inplace_scratch_space(module, out_infos, key_infos)
     }
 }
 
-impl<DataSelf: DataMut> GGLWEAutomorphismKey<DataSelf> {
+impl<DataSelf: DataMut> AutomorphismKey<DataSelf> {
     pub fn keyswitch<DataLhs: DataRef, DataRhs: DataRef, B: Backend>(
         &mut self,
         module: &Module<B>,
-        lhs: &GGLWEAutomorphismKey<DataLhs>,
-        rhs: &GGLWESwitchingKeyPrepared<DataRhs, B>,
+        lhs: &AutomorphismKey<DataLhs>,
+        rhs: &GLWESwitchingKeyPrepared<DataRhs, B>,
         scratch: &mut Scratch<B>,
     ) where
         Module<B>: VecZnxDftAllocBytes
@@ -65,7 +65,7 @@ impl<DataSelf: DataMut> GGLWEAutomorphismKey<DataSelf> {
     pub fn keyswitch_inplace<DataRhs: DataRef, B: Backend>(
         &mut self,
         module: &Module<B>,
-        rhs: &GGLWEAutomorphismKeyPrepared<DataRhs, B>,
+        rhs: &AutomorphismKeyPrepared<DataRhs, B>,
         scratch: &mut Scratch<B>,
     ) where
         Module<B>: VecZnxDftAllocBytes
@@ -85,7 +85,7 @@ impl<DataSelf: DataMut> GGLWEAutomorphismKey<DataSelf> {
     }
 }
 
-impl GGLWESwitchingKey<Vec<u8>> {
+impl GLWESwitchingKey<Vec<u8>> {
     pub fn keyswitch_scratch_space<B: Backend, OUT, IN, KEY>(
         module: &Module<B>,
         out_infos: &OUT,
@@ -111,12 +111,12 @@ impl GGLWESwitchingKey<Vec<u8>> {
     }
 }
 
-impl<DataSelf: DataMut> GGLWESwitchingKey<DataSelf> {
+impl<DataSelf: DataMut> GLWESwitchingKey<DataSelf> {
     pub fn keyswitch<DataLhs: DataRef, DataRhs: DataRef, B: Backend>(
         &mut self,
         module: &Module<B>,
-        lhs: &GGLWESwitchingKey<DataLhs>,
-        rhs: &GGLWESwitchingKeyPrepared<DataRhs, B>,
+        lhs: &GLWESwitchingKey<DataLhs>,
+        rhs: &GLWESwitchingKeyPrepared<DataRhs, B>,
         scratch: &mut Scratch<B>,
     ) where
         Module<B>: VecZnxDftAllocBytes
@@ -187,7 +187,7 @@ impl<DataSelf: DataMut> GGLWESwitchingKey<DataSelf> {
     pub fn keyswitch_inplace<DataRhs: DataRef, B: Backend>(
         &mut self,
         module: &Module<B>,
-        rhs: &GGLWESwitchingKeyPrepared<DataRhs, B>,
+        rhs: &GLWESwitchingKeyPrepared<DataRhs, B>,
         scratch: &mut Scratch<B>,
     ) where
         Module<B>: VecZnxDftAllocBytes
diff --git a/poulpy-core/src/keyswitching/ggsw_ct.rs b/poulpy-core/src/keyswitching/ggsw_ct.rs
index d261f03..3ec738e 100644
--- a/poulpy-core/src/keyswitching/ggsw_ct.rs
+++ b/poulpy-core/src/keyswitching/ggsw_ct.rs
@@ -10,13 +10,13 @@ use poulpy_hal::{
 
 use crate::{
     layouts::{
-        GGLWECiphertext, GGLWEInfos, GGSWCiphertext, GGSWInfos, GLWECiphertext, GLWEInfos, LWEInfos,
-        prepared::{GGLWESwitchingKeyPrepared, GGLWETensorKeyPrepared},
+        GGLWE, GGLWEInfos, GGSW, GGSWInfos, GLWECiphertext, GLWEInfos, LWEInfos,
+        prepared::{GLWESwitchingKeyPrepared, TensorKeyPrepared},
     },
     operations::GLWEOperations,
 };
 
-impl GGSWCiphertext<Vec<u8>> {
+impl GGSW<Vec<u8>> {
     pub(crate) fn expand_row_scratch_space<B: Backend, OUT, TSK>(module: &Module<B>, out_infos: &OUT, tsk_infos: &TSK) -> usize
     where
         OUT: GGSWInfos,
@@ -77,7 +77,7 @@ impl GGSWCiphertext<Vec<u8>> {
         let res_znx: usize = VecZnx::alloc_bytes(module.n(), rank + 1, size_out);
         let ci_dft: usize = module.vec_znx_dft_alloc_bytes(rank + 1, size_out);
         let ks: usize = GLWECiphertext::keyswitch_scratch_space(module, out_infos, in_infos, apply_infos);
-        let expand_rows: usize = GGSWCiphertext::expand_row_scratch_space(module, out_infos, tsk_infos);
+        let expand_rows: usize = GGSW::expand_row_scratch_space(module, out_infos, tsk_infos);
         let res_dft: usize = module.vec_znx_dft_alloc_bytes(rank + 1, size_out);
 
         if in_infos.base2k() == tsk_infos.base2k() {
@@ -109,16 +109,16 @@ impl GGSWCiphertext<Vec<u8>> {
             + VecZnxNormalizeTmpBytes
             + VecZnxBigNormalizeTmpBytes,
     {
-        GGSWCiphertext::keyswitch_scratch_space(module, out_infos, out_infos, apply_infos, tsk_infos)
+        GGSW::keyswitch_scratch_space(module, out_infos, out_infos, apply_infos, tsk_infos)
     }
 }
 
-impl<DataSelf: DataMut> GGSWCiphertext<DataSelf> {
+impl<DataSelf: DataMut> GGSW<DataSelf> {
     pub fn from_gglwe<DataA, DataTsk, B: Backend>(
         &mut self,
         module: &Module<B>,
-        a: &GGLWECiphertext<DataA>,
-        tsk: &GGLWETensorKeyPrepared<DataTsk, B>,
+        a: &GGLWE<DataA>,
+        tsk: &TensorKeyPrepared<DataTsk, B>,
         scratch: &mut Scratch<B>,
     ) where
         DataA: DataRef,
@@ -157,9 +157,9 @@ impl<DataSelf: DataMut> GGSWCiphertext<DataSelf> {
     pub fn keyswitch<DataLhs: DataRef, DataKsk: DataRef, DataTsk: DataRef, B: Backend>(
         &mut self,
         module: &Module<B>,
-        lhs: &GGSWCiphertext<DataLhs>,
-        ksk: &GGLWESwitchingKeyPrepared<DataKsk, B>,
-        tsk: &GGLWETensorKeyPrepared<DataTsk, B>,
+        lhs: &GGSW<DataLhs>,
+        ksk: &GLWESwitchingKeyPrepared<DataKsk, B>,
+        tsk: &TensorKeyPrepared<DataTsk, B>,
         scratch: &mut Scratch<B>,
     ) where
         Module<B>: VecZnxDftAllocBytes
@@ -192,8 +192,8 @@ impl<DataSelf: DataMut> GGSWCiphertext<DataSelf> {
     pub fn keyswitch_inplace<DataKsk: DataRef, DataTsk: DataRef, B: Backend>(
         &mut self,
         module: &Module<B>,
-        ksk: &GGLWESwitchingKeyPrepared<DataKsk, B>,
-        tsk: &GGLWETensorKeyPrepared<DataTsk, B>,
+        ksk: &GLWESwitchingKeyPrepared<DataKsk, B>,
+        tsk: &TensorKeyPrepared<DataTsk, B>,
         scratch: &mut Scratch<B>,
     ) where
         Module<B>: VecZnxDftAllocBytes
@@ -226,7 +226,7 @@ impl<DataSelf: DataMut> GGSWCiphertext<DataSelf> {
     pub fn expand_row<DataTsk: DataRef, B: Backend>(
         &mut self,
         module: &Module<B>,
-        tsk: &GGLWETensorKeyPrepared<DataTsk, B>,
+        tsk: &TensorKeyPrepared<DataTsk, B>,
         scratch: &mut Scratch<B>,
     ) where
         Module<B>: VecZnxDftAllocBytes
@@ -246,7 +246,7 @@ impl<DataSelf: DataMut> GGSWCiphertext<DataSelf> {
         let basek_in: usize = self.base2k().into();
         let basek_tsk: usize = tsk.base2k().into();
 
-        assert!(scratch.available() >= GGSWCiphertext::expand_row_scratch_space(module, self, tsk));
+        assert!(scratch.available() >= GGSW::expand_row_scratch_space(module, self, tsk));
 
         let n: usize = self.n().into();
         let rank: usize = self.rank().into();
diff --git a/poulpy-core/src/keyswitching/glwe_ct.rs b/poulpy-core/src/keyswitching/glwe_ct.rs
index 07d95e9..e7afcbe 100644
--- a/poulpy-core/src/keyswitching/glwe_ct.rs
+++ b/poulpy-core/src/keyswitching/glwe_ct.rs
@@ -7,7 +7,7 @@ use poulpy_hal::{
     layouts::{Backend, DataMut, DataRef, DataViewMut, Module, Scratch, VecZnx, VecZnxBig, VecZnxDft, VmpPMat, ZnxInfos},
 };
 
-use crate::layouts::{GGLWEInfos, GLWECiphertext, GLWEInfos, LWEInfos, prepared::GGLWESwitchingKeyPrepared};
+use crate::layouts::{GGLWEInfos, GLWECiphertext, GLWEInfos, LWEInfos, prepared::GLWESwitchingKeyPrepared};
 
 impl GLWECiphertext<Vec<u8>> {
     pub fn keyswitch_scratch_space<B: Backend, OUT, IN, KEY>(
@@ -68,7 +68,7 @@ impl<DataSelf: DataRef> GLWECiphertext<DataSelf> {
         &self,
         module: &Module<B>,
         lhs: &GLWECiphertext<DataLhs>,
-        rhs: &GGLWESwitchingKeyPrepared<DataRhs, B>,
+        rhs: &GLWESwitchingKeyPrepared<DataRhs, B>,
         scratch: &Scratch<B>,
     ) where
         DataLhs: DataRef,
@@ -117,7 +117,7 @@ impl<DataSelf: DataRef> GLWECiphertext<DataSelf> {
     pub(crate) fn assert_keyswitch_inplace<B: Backend, DataRhs>(
         &self,
         module: &Module<B>,
-        rhs: &GGLWESwitchingKeyPrepared<DataRhs, B>,
+        rhs: &GLWESwitchingKeyPrepared<DataRhs, B>,
         scratch: &Scratch<B>,
     ) where
         DataRhs: DataRef,
@@ -149,7 +149,7 @@ impl<DataSelf: DataMut> GLWECiphertext<DataSelf> {
         &mut self,
         module: &Module<B>,
         glwe_in: &GLWECiphertext<DataLhs>,
-        rhs: &GGLWESwitchingKeyPrepared<DataRhs, B>,
+        rhs: &GLWESwitchingKeyPrepared<DataRhs, B>,
         scratch: &mut Scratch<B>,
     ) where
         Module<B>: VecZnxDftAllocBytes
@@ -191,7 +191,7 @@ impl<DataSelf: DataMut> GLWECiphertext<DataSelf> {
     pub fn keyswitch_inplace<DataRhs: DataRef, B: Backend>(
         &mut self,
         module: &Module<B>,
-        rhs: &GGLWESwitchingKeyPrepared<DataRhs, B>,
+        rhs: &GLWESwitchingKeyPrepared<DataRhs, B>,
         scratch: &mut Scratch<B>,
     ) where
         Module<B>: VecZnxDftAllocBytes
@@ -237,7 +237,7 @@ impl<D: DataRef> GLWECiphertext<D> {
         &self,
         module: &Module<B>,
         res_dft: VecZnxDft<DataRes, B>,
-        rhs: &GGLWESwitchingKeyPrepared<DataKey, B>,
+        rhs: &GLWESwitchingKeyPrepared<DataKey, B>,
         scratch: &mut Scratch<B>,
     ) -> VecZnxBig<DataRes, B>
     where
diff --git a/poulpy-core/src/layouts/compressed/gglwe_atk.rs b/poulpy-core/src/layouts/compressed/gglwe_atk.rs
index 2b6a54d..a62e4a7 100644
--- a/poulpy-core/src/layouts/compressed/gglwe_atk.rs
+++ b/poulpy-core/src/layouts/compressed/gglwe_atk.rs
@@ -5,19 +5,19 @@ use poulpy_hal::{
 };
 
 use crate::layouts::{
-    Base2K, Degree, Dnum, Dsize, GGLWEAutomorphismKey, GGLWEInfos, GLWEInfos, LWEInfos, Rank, TorusPrecision,
-    compressed::{Decompress, GGLWEKeyCompressed, GGLWEKeyCompressedToMut, GGLWEKeyCompressedToRef},
+    AutomorphismKey, Base2K, Degree, Dnum, Dsize, GGLWEInfos, GLWEInfos, LWEInfos, Rank, TorusPrecision,
+    compressed::{Decompress, GLWESwitchingKeyCompressed, GLWESwitchingKeyCompressedToMut, GLWESwitchingKeyCompressedToRef},
 };
 use byteorder::{LittleEndian, ReadBytesExt, WriteBytesExt};
 use std::fmt;
 
 #[derive(PartialEq, Eq, Clone)]
-pub struct GGLWEAutomorphismKeyCompressed<D: Data> {
-    pub(crate) key: GGLWEKeyCompressed<D>,
+pub struct AutomorphismKeyCompressed<D: Data> {
+    pub(crate) key: GLWESwitchingKeyCompressed<D>,
     pub(crate) p: i64,
 }
 
-impl<D: Data> LWEInfos for GGLWEAutomorphismKeyCompressed<D> {
+impl<D: Data> LWEInfos for AutomorphismKeyCompressed<D> {
     fn n(&self) -> Degree {
         self.key.n()
     }
@@ -34,13 +34,13 @@ impl<D: Data> LWEInfos for GGLWEAutomorphismKeyCompressed<D> {
         self.key.size()
     }
 }
-impl<D: Data> GLWEInfos for GGLWEAutomorphismKeyCompressed<D> {
+impl<D: Data> GLWEInfos for AutomorphismKeyCompressed<D> {
     fn rank(&self) -> Rank {
         self.rank_out()
     }
 }
 
-impl<D: Data> GGLWEInfos for GGLWEAutomorphismKeyCompressed<D> {
+impl<D: Data> GGLWEInfos for AutomorphismKeyCompressed<D> {
     fn rank_in(&self) -> Rank {
         self.key.rank_in()
     }
@@ -58,39 +58,39 @@ impl<D: Data> GGLWEInfos for GGLWEAutomorphismKeyCompressed<D> {
     }
 }
 
-impl<D: DataRef> fmt::Debug for GGLWEAutomorphismKeyCompressed<D> {
+impl<D: DataRef> fmt::Debug for AutomorphismKeyCompressed<D> {
     fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
         write!(f, "{self}")
     }
 }
 
-impl<D: DataMut> FillUniform for GGLWEAutomorphismKeyCompressed<D> {
+impl<D: DataMut> FillUniform for AutomorphismKeyCompressed<D> {
     fn fill_uniform(&mut self, log_bound: usize, source: &mut Source) {
         self.key.fill_uniform(log_bound, source);
     }
 }
 
-impl<D: DataRef> fmt::Display for GGLWEAutomorphismKeyCompressed<D> {
+impl<D: DataRef> fmt::Display for AutomorphismKeyCompressed<D> {
     fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
         write!(f, "(AutomorphismKeyCompressed: p={}) {}", self.p, self.key)
     }
 }
 
-impl GGLWEAutomorphismKeyCompressed<Vec<u8>> {
+impl AutomorphismKeyCompressed<Vec<u8>> {
     pub fn alloc<A>(infos: &A) -> Self
     where
         A: GGLWEInfos,
     {
         debug_assert_eq!(infos.rank_in(), infos.rank_out());
         Self {
-            key: GGLWEKeyCompressed::alloc(infos),
+            key: GLWESwitchingKeyCompressed::alloc(infos),
             p: 0,
         }
     }
 
     pub fn alloc_with(n: Degree, base2k: Base2K, k: TorusPrecision, rank: Rank, dnum: Dnum, dsize: Dsize) -> Self {
         Self {
-            key: GGLWEKeyCompressed::alloc_with(n, base2k, k, rank, rank, dnum, dsize),
+            key: GLWESwitchingKeyCompressed::alloc_with(n, base2k, k, rank, rank, dnum, dsize),
             p: 0,
         }
     }
@@ -100,64 +100,64 @@ impl GGLWEAutomorphismKeyCompressed<Vec<u8>> {
         A: GGLWEInfos,
     {
         debug_assert_eq!(infos.rank_in(), infos.rank_out());
-        GGLWEKeyCompressed::alloc_bytes(infos)
+        GLWESwitchingKeyCompressed::alloc_bytes(infos)
     }
 
     pub fn alloc_bytes_with(n: Degree, base2k: Base2K, k: TorusPrecision, rank: Rank, dnum: Dnum, dsize: Dsize) -> usize {
-        GGLWEKeyCompressed::alloc_bytes_with(n, base2k, k, rank, dnum, dsize)
+        GLWESwitchingKeyCompressed::alloc_bytes_with(n, base2k, k, rank, dnum, dsize)
     }
 }
 
-impl<D: DataMut> ReaderFrom for GGLWEAutomorphismKeyCompressed<D> {
+impl<D: DataMut> ReaderFrom for AutomorphismKeyCompressed<D> {
     fn read_from<R: std::io::Read>(&mut self, reader: &mut R) -> std::io::Result<()> {
         self.p = reader.read_u64::<LittleEndian>()? as i64;
         self.key.read_from(reader)
     }
 }
 
-impl<D: DataRef> WriterTo for GGLWEAutomorphismKeyCompressed<D> {
+impl<D: DataRef> WriterTo for AutomorphismKeyCompressed<D> {
     fn write_to<W: std::io::Write>(&self, writer: &mut W) -> std::io::Result<()> {
         writer.write_u64::<LittleEndian>(self.p as u64)?;
         self.key.write_to(writer)
     }
 }
 
-impl<D: DataMut, DR: DataRef, B: Backend> Decompress<B, GGLWEAutomorphismKeyCompressed<DR>> for GGLWEAutomorphismKey<D>
+impl<D: DataMut, DR: DataRef, B: Backend> Decompress<B, AutomorphismKeyCompressed<DR>> for AutomorphismKey<D>
 where
     Module<B>: VecZnxFillUniform + VecZnxCopy,
 {
-    fn decompress(&mut self, module: &Module<B>, other: &GGLWEAutomorphismKeyCompressed<DR>) {
+    fn decompress(&mut self, module: &Module<B>, other: &AutomorphismKeyCompressed<DR>) {
         self.key.decompress(module, &other.key);
         self.p = other.p;
     }
 }
 
-pub trait GGLWEAutomorphismKeyCompressedToRef {
-    fn to_ref(&self) -> GGLWEAutomorphismKeyCompressed<&[u8]>;
+pub trait AutomorphismKeyCompressedToRef {
+    fn to_ref(&self) -> AutomorphismKeyCompressed<&[u8]>;
 }
 
-impl<D: DataRef> GGLWEAutomorphismKeyCompressedToRef for GGLWEAutomorphismKeyCompressed<D>
+impl<D: DataRef> AutomorphismKeyCompressedToRef for AutomorphismKeyCompressed<D>
 where
-    GGLWEKeyCompressed<D>: GGLWEKeyCompressedToRef,
+    GLWESwitchingKeyCompressed<D>: GLWESwitchingKeyCompressedToRef,
 {
-    fn to_ref(&self) -> GGLWEAutomorphismKeyCompressed<&[u8]> {
-        GGLWEAutomorphismKeyCompressed {
+    fn to_ref(&self) -> AutomorphismKeyCompressed<&[u8]> {
+        AutomorphismKeyCompressed {
             key: self.key.to_ref(),
             p: self.p,
         }
     }
 }
 
-pub trait GGLWEAutomorphismKeyCompressedToMut {
-    fn to_mut(&mut self) -> GGLWEAutomorphismKeyCompressed<&mut [u8]>;
+pub trait AutomorphismKeyCompressedToMut {
+    fn to_mut(&mut self) -> AutomorphismKeyCompressed<&mut [u8]>;
 }
 
-impl<D: DataRef> GGLWEAutomorphismKeyCompressedToMut for GGLWEAutomorphismKeyCompressed<D>
+impl<D: DataMut> AutomorphismKeyCompressedToMut for AutomorphismKeyCompressed<D>
 where
-    GGLWEKeyCompressed<D>: GGLWEKeyCompressedToMut,
+    GLWESwitchingKeyCompressed<D>: GLWESwitchingKeyCompressedToMut,
 {
-    fn to_mut(&mut self) -> GGLWEAutomorphismKeyCompressed<&mut [u8]> {
-        GGLWEAutomorphismKeyCompressed {
+    fn to_mut(&mut self) -> AutomorphismKeyCompressed<&mut [u8]> {
+        AutomorphismKeyCompressed {
             p: self.p,
             key: self.key.to_mut(),
         }
diff --git a/poulpy-core/src/layouts/compressed/gglwe_ct.rs b/poulpy-core/src/layouts/compressed/gglwe_ct.rs
index 6e14756..a75a9a8 100644
--- a/poulpy-core/src/layouts/compressed/gglwe_ct.rs
+++ b/poulpy-core/src/layouts/compressed/gglwe_ct.rs
@@ -7,7 +7,7 @@ use poulpy_hal::{
 };
 
 use crate::layouts::{
-    Base2K, Degree, Dnum, Dsize, GGLWECiphertext, GGLWEInfos, GLWEInfos, LWEInfos, Rank, TorusPrecision,
+    Base2K, Degree, Dnum, Dsize, GGLWE, GGLWEInfos, GLWEInfos, LWEInfos, Rank, TorusPrecision,
     compressed::{Decompress, GLWECiphertextCompressed},
 };
 use byteorder::{LittleEndian, ReadBytesExt, WriteBytesExt};
@@ -235,7 +235,7 @@ impl<D: DataRef> WriterTo for GGLWECiphertextCompressed<D> {
     }
 }
 
-impl<D: DataMut, B: Backend, DR: DataRef> Decompress<B, GGLWECiphertextCompressed<DR>> for GGLWECiphertext<D>
+impl<D: DataMut, B: Backend, DR: DataRef> Decompress<B, GGLWECiphertextCompressed<DR>> for GGLWE<D>
 where
     Module<B>: VecZnxFillUniform + VecZnxCopy,
 {
@@ -313,7 +313,7 @@ pub trait GGLWECiphertextCompressedToRef {
     fn to_ref(&self) -> GGLWECiphertextCompressed<&[u8]>;
 }
 
-impl<D: DataMut> GGLWECiphertextCompressedToRef for GGLWECiphertextCompressed<D> {
+impl<D: DataRef> GGLWECiphertextCompressedToRef for GGLWECiphertextCompressed<D> {
     fn to_ref(&self) -> GGLWECiphertextCompressed<&[u8]> {
         GGLWECiphertextCompressed {
             k: self.k(),
diff --git a/poulpy-core/src/layouts/compressed/gglwe_ksk.rs b/poulpy-core/src/layouts/compressed/gglwe_ksk.rs
index cbb2f8c..76d60a7 100644
--- a/poulpy-core/src/layouts/compressed/gglwe_ksk.rs
+++ b/poulpy-core/src/layouts/compressed/gglwe_ksk.rs
@@ -5,20 +5,20 @@ use poulpy_hal::{
 };
 
 use crate::layouts::{
-    Base2K, Degree, Dnum, Dsize, GGLWEInfos, GGLWESwitchingKey, GLWEInfos, LWEInfos, Rank, TorusPrecision,
+    Base2K, Degree, Dnum, Dsize, GGLWEInfos, GLWEInfos, GLWESwitchingKey, LWEInfos, Rank, TorusPrecision,
     compressed::{Decompress, GGLWECiphertextCompressed, GGLWECiphertextCompressedToMut, GGLWECiphertextCompressedToRef},
 };
 use byteorder::{LittleEndian, ReadBytesExt, WriteBytesExt};
 use std::fmt;
 
 #[derive(PartialEq, Eq, Clone)]
-pub struct GGLWEKeyCompressed<D: Data> {
+pub struct GLWESwitchingKeyCompressed<D: Data> {
     pub(crate) key: GGLWECiphertextCompressed<D>,
     pub(crate) sk_in_n: usize,  // Degree of sk_in
     pub(crate) sk_out_n: usize, // Degree of sk_out
 }
 
-impl<D: Data> LWEInfos for GGLWEKeyCompressed<D> {
+impl<D: Data> LWEInfos for GLWESwitchingKeyCompressed<D> {
     fn n(&self) -> Degree {
         self.key.n()
     }
@@ -35,13 +35,13 @@ impl<D: Data> LWEInfos for GGLWEKeyCompressed<D> {
         self.key.size()
     }
 }
-impl<D: Data> GLWEInfos for GGLWEKeyCompressed<D> {
+impl<D: Data> GLWEInfos for GLWESwitchingKeyCompressed<D> {
     fn rank(&self) -> Rank {
         self.rank_out()
     }
 }
 
-impl<D: Data> GGLWEInfos for GGLWEKeyCompressed<D> {
+impl<D: Data> GGLWEInfos for GLWESwitchingKeyCompressed<D> {
     fn rank_in(&self) -> Rank {
         self.key.rank_in()
     }
@@ -59,19 +59,19 @@ impl<D: Data> GGLWEInfos for GGLWEKeyCompressed<D> {
     }
 }
 
-impl<D: DataRef> fmt::Debug for GGLWEKeyCompressed<D> {
+impl<D: DataRef> fmt::Debug for GLWESwitchingKeyCompressed<D> {
     fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
         write!(f, "{self}")
     }
 }
 
-impl<D: DataMut> FillUniform for GGLWEKeyCompressed<D> {
+impl<D: DataMut> FillUniform for GLWESwitchingKeyCompressed<D> {
     fn fill_uniform(&mut self, log_bound: usize, source: &mut Source) {
         self.key.fill_uniform(log_bound, source);
     }
 }
 
-impl<D: DataRef> fmt::Display for GGLWEKeyCompressed<D> {
+impl<D: DataRef> fmt::Display for GLWESwitchingKeyCompressed<D> {
     fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
         write!(
             f,
@@ -81,12 +81,12 @@ impl<D: DataRef> fmt::Display for GGLWEKeyCompressed<D> {
     }
 }
 
-impl GGLWEKeyCompressed<Vec<u8>> {
+impl GLWESwitchingKeyCompressed<Vec<u8>> {
     pub fn alloc<A>(infos: &A) -> Self
     where
         A: GGLWEInfos,
     {
-        GGLWEKeyCompressed {
+        GLWESwitchingKeyCompressed {
             key: GGLWECiphertextCompressed::alloc(infos),
             sk_in_n: 0,
             sk_out_n: 0,
@@ -102,7 +102,7 @@ impl GGLWEKeyCompressed<Vec<u8>> {
         dnum: Dnum,
         dsize: Dsize,
     ) -> Self {
-        GGLWEKeyCompressed {
+        GLWESwitchingKeyCompressed {
             key: GGLWECiphertextCompressed::alloc_with(n, base2k, k, rank_in, rank_out, dnum, dsize),
             sk_in_n: 0,
             sk_out_n: 0,
@@ -121,7 +121,7 @@ impl GGLWEKeyCompressed<Vec<u8>> {
     }
 }
 
-impl<D: DataMut> ReaderFrom for GGLWEKeyCompressed<D> {
+impl<D: DataMut> ReaderFrom for GLWESwitchingKeyCompressed<D> {
     fn read_from<R: std::io::Read>(&mut self, reader: &mut R) -> std::io::Result<()> {
         self.sk_in_n = reader.read_u64::<LittleEndian>()? as usize;
         self.sk_out_n = reader.read_u64::<LittleEndian>()? as usize;
@@ -129,7 +129,7 @@ impl<D: DataMut> ReaderFrom for GGLWEKeyCompressed<D> {
     }
 }
 
-impl<D: DataRef> WriterTo for GGLWEKeyCompressed<D> {
+impl<D: DataRef> WriterTo for GLWESwitchingKeyCompressed<D> {
     fn write_to<W: std::io::Write>(&self, writer: &mut W) -> std::io::Result<()> {
         writer.write_u64::<LittleEndian>(self.sk_in_n as u64)?;
         writer.write_u64::<LittleEndian>(self.sk_out_n as u64)?;
@@ -137,27 +137,27 @@ impl<D: DataRef> WriterTo for GGLWEKeyCompressed<D> {
     }
 }
 
-impl<D: DataMut, DR: DataRef, B: Backend> Decompress<B, GGLWEKeyCompressed<DR>> for GGLWESwitchingKey<D>
+impl<D: DataMut, DR: DataRef, B: Backend> Decompress<B, GLWESwitchingKeyCompressed<DR>> for GLWESwitchingKey<D>
 where
     Module<B>: VecZnxFillUniform + VecZnxCopy,
 {
-    fn decompress(&mut self, module: &Module<B>, other: &GGLWEKeyCompressed<DR>) {
+    fn decompress(&mut self, module: &Module<B>, other: &GLWESwitchingKeyCompressed<DR>) {
         self.key.decompress(module, &other.key);
         self.sk_in_n = other.sk_in_n;
         self.sk_out_n = other.sk_out_n;
     }
 }
 
-pub trait GGLWEKeyCompressedToMut {
-    fn to_mut(&mut self) -> GGLWEKeyCompressed<&mut [u8]>;
+pub trait GLWESwitchingKeyCompressedToMut {
+    fn to_mut(&mut self) -> GLWESwitchingKeyCompressed<&mut [u8]>;
 }
 
-impl<D: DataMut> GGLWEKeyCompressedToMut for GGLWEKeyCompressed<D>
+impl<D: DataMut> GLWESwitchingKeyCompressedToMut for GLWESwitchingKeyCompressed<D>
 where
     GGLWECiphertextCompressed<D>: GGLWECiphertextCompressedToMut,
 {
-    fn to_mut(&mut self) -> GGLWEKeyCompressed<&mut [u8]> {
-        GGLWEKeyCompressed {
+    fn to_mut(&mut self) -> GLWESwitchingKeyCompressed<&mut [u8]> {
+        GLWESwitchingKeyCompressed {
             sk_in_n: self.sk_in_n,
             sk_out_n: self.sk_out_n,
             key: self.key.to_mut(),
@@ -165,16 +165,16 @@ where
     }
 }
 
-pub trait GGLWEKeyCompressedToRef {
-    fn to_ref(&self) -> GGLWEKeyCompressed<&[u8]>;
+pub trait GLWESwitchingKeyCompressedToRef {
+    fn to_ref(&self) -> GLWESwitchingKeyCompressed<&[u8]>;
 }
 
-impl<D: DataMut> GGLWEKeyCompressedToRef for GGLWEKeyCompressed<D>
+impl<D: DataRef> GLWESwitchingKeyCompressedToRef for GLWESwitchingKeyCompressed<D>
 where
     GGLWECiphertextCompressed<D>: GGLWECiphertextCompressedToRef,
 {
-    fn to_ref(&self) -> GGLWEKeyCompressed<&[u8]> {
-        GGLWEKeyCompressed {
+    fn to_ref(&self) -> GLWESwitchingKeyCompressed<&[u8]> {
+        GLWESwitchingKeyCompressed {
             sk_in_n: self.sk_in_n,
             sk_out_n: self.sk_out_n,
             key: self.key.to_ref(),
diff --git a/poulpy-core/src/layouts/compressed/gglwe_tsk.rs b/poulpy-core/src/layouts/compressed/gglwe_tsk.rs
index 0206788..7255594 100644
--- a/poulpy-core/src/layouts/compressed/gglwe_tsk.rs
+++ b/poulpy-core/src/layouts/compressed/gglwe_tsk.rs
@@ -5,18 +5,18 @@ use poulpy_hal::{
 };
 
 use crate::layouts::{
-    Base2K, Degree, Dnum, Dsize, GGLWEInfos, GGLWETensorKey, GLWEInfos, LWEInfos, Rank, TorusPrecision,
-    compressed::{Decompress, GGLWEKeyCompressed, GGLWEKeyCompressedToMut, GGLWEKeyCompressedToRef},
+    Base2K, Degree, Dnum, Dsize, GGLWEInfos, GLWEInfos, LWEInfos, Rank, TensorKey, TorusPrecision,
+    compressed::{Decompress, GLWESwitchingKeyCompressed, GLWESwitchingKeyCompressedToMut, GLWESwitchingKeyCompressedToRef},
 };
 use byteorder::{LittleEndian, ReadBytesExt, WriteBytesExt};
 use std::fmt;
 
 #[derive(PartialEq, Eq, Clone)]
-pub struct GGLWETensorKeyCompressed<D: Data> {
-    pub(crate) keys: Vec<GGLWEKeyCompressed<D>>,
+pub struct TensorKeyCompressed<D: Data> {
+    pub(crate) keys: Vec<GLWESwitchingKeyCompressed<D>>,
 }
 
-impl<D: Data> LWEInfos for GGLWETensorKeyCompressed<D> {
+impl<D: Data> LWEInfos for TensorKeyCompressed<D> {
     fn n(&self) -> Degree {
         self.keys[0].n()
     }
@@ -32,13 +32,13 @@ impl<D: Data> LWEInfos for GGLWETensorKeyCompressed<D> {
         self.keys[0].size()
     }
 }
-impl<D: Data> GLWEInfos for GGLWETensorKeyCompressed<D> {
+impl<D: Data> GLWEInfos for TensorKeyCompressed<D> {
     fn rank(&self) -> Rank {
         self.rank_out()
     }
 }
 
-impl<D: Data> GGLWEInfos for GGLWETensorKeyCompressed<D> {
+impl<D: Data> GGLWEInfos for TensorKeyCompressed<D> {
     fn rank_in(&self) -> Rank {
         self.rank_out()
     }
@@ -56,21 +56,21 @@ impl<D: Data> GGLWEInfos for GGLWETensorKeyCompressed<D> {
     }
 }
 
-impl<D: DataRef> fmt::Debug for GGLWETensorKeyCompressed<D> {
+impl<D: DataRef> fmt::Debug for TensorKeyCompressed<D> {
     fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
         write!(f, "{self}")
     }
 }
 
-impl<D: DataMut> FillUniform for GGLWETensorKeyCompressed<D> {
+impl<D: DataMut> FillUniform for TensorKeyCompressed<D> {
     fn fill_uniform(&mut self, log_bound: usize, source: &mut Source) {
         self.keys
             .iter_mut()
-            .for_each(|key: &mut GGLWEKeyCompressed<D>| key.fill_uniform(log_bound, source))
+            .for_each(|key: &mut GLWESwitchingKeyCompressed<D>| key.fill_uniform(log_bound, source))
     }
 }
 
-impl<D: DataRef> fmt::Display for GGLWETensorKeyCompressed<D> {
+impl<D: DataRef> fmt::Display for TensorKeyCompressed<D> {
     fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
         writeln!(f, "(GLWETensorKeyCompressed)",)?;
         for (i, key) in self.keys.iter().enumerate() {
@@ -80,7 +80,7 @@ impl<D: DataRef> fmt::Display for GGLWETensorKeyCompressed<D> {
     }
 }
 
-impl GGLWETensorKeyCompressed<Vec<u8>> {
+impl TensorKeyCompressed<Vec<u8>> {
     pub fn alloc<A>(infos: &A) -> Self
     where
         A: GGLWEInfos,
@@ -101,10 +101,10 @@ impl GGLWETensorKeyCompressed<Vec<u8>> {
     }
 
     pub fn alloc_with(n: Degree, base2k: Base2K, k: TorusPrecision, rank: Rank, dnum: Dnum, dsize: Dsize) -> Self {
-        let mut keys: Vec<GGLWEKeyCompressed<Vec<u8>>> = Vec::new();
+        let mut keys: Vec<GLWESwitchingKeyCompressed<Vec<u8>>> = Vec::new();
         let pairs: u32 = (((rank.0 + 1) * rank.0) >> 1).max(1);
         (0..pairs).for_each(|_| {
-            keys.push(GGLWEKeyCompressed::alloc_with(
+            keys.push(GLWESwitchingKeyCompressed::alloc_with(
                 n,
                 base2k,
                 k,
@@ -129,7 +129,7 @@ impl GGLWETensorKeyCompressed<Vec<u8>> {
         let rank_out: usize = infos.rank_out().into();
         let pairs: usize = (((rank_out + 1) * rank_out) >> 1).max(1);
         pairs
-            * GGLWEKeyCompressed::alloc_bytes_with(
+            * GLWESwitchingKeyCompressed::alloc_bytes_with(
                 infos.n(),
                 infos.base2k(),
                 infos.k(),
@@ -141,11 +141,11 @@ impl GGLWETensorKeyCompressed<Vec<u8>> {
 
     pub fn alloc_bytes_with(n: Degree, base2k: Base2K, k: TorusPrecision, rank: Rank, dnum: Dnum, dsize: Dsize) -> usize {
         let pairs: usize = (((rank.0 + 1) * rank.0) >> 1).max(1) as usize;
-        pairs * GGLWEKeyCompressed::alloc_bytes_with(n, base2k, k, Rank(1), dnum, dsize)
+        pairs * GLWESwitchingKeyCompressed::alloc_bytes_with(n, base2k, k, Rank(1), dnum, dsize)
     }
 }
 
-impl<D: DataMut> ReaderFrom for GGLWETensorKeyCompressed<D> {
+impl<D: DataMut> ReaderFrom for TensorKeyCompressed<D> {
     fn read_from<R: std::io::Read>(&mut self, reader: &mut R) -> std::io::Result<()> {
         let len: usize = reader.read_u64::<LittleEndian>()? as usize;
         if self.keys.len() != len {
@@ -161,7 +161,7 @@ impl<D: DataMut> ReaderFrom for GGLWETensorKeyCompressed<D> {
     }
 }
 
-impl<D: DataRef> WriterTo for GGLWETensorKeyCompressed<D> {
+impl<D: DataRef> WriterTo for TensorKeyCompressed<D> {
     fn write_to<W: std::io::Write>(&self, writer: &mut W) -> std::io::Result<()> {
         writer.write_u64::<LittleEndian>(self.keys.len() as u64)?;
         for key in &self.keys {
@@ -171,8 +171,8 @@ impl<D: DataRef> WriterTo for GGLWETensorKeyCompressed<D> {
     }
 }
 
-impl<D: DataMut> GGLWETensorKeyCompressed<D> {
-    pub(crate) fn at_mut(&mut self, mut i: usize, mut j: usize) -> &mut GGLWEKeyCompressed<D> {
+impl<D: DataMut> TensorKeyCompressed<D> {
+    pub(crate) fn at_mut(&mut self, mut i: usize, mut j: usize) -> &mut GLWESwitchingKeyCompressed<D> {
         if i > j {
             std::mem::swap(&mut i, &mut j);
         };
@@ -181,11 +181,11 @@ impl<D: DataMut> GGLWETensorKeyCompressed<D> {
     }
 }
 
-impl<D: DataMut, DR: DataRef, B: Backend> Decompress<B, GGLWETensorKeyCompressed<DR>> for GGLWETensorKey<D>
+impl<D: DataMut, DR: DataRef, B: Backend> Decompress<B, TensorKeyCompressed<DR>> for TensorKey<D>
 where
     Module<B>: VecZnxFillUniform + VecZnxCopy,
 {
-    fn decompress(&mut self, module: &Module<B>, other: &GGLWETensorKeyCompressed<DR>) {
+    fn decompress(&mut self, module: &Module<B>, other: &TensorKeyCompressed<DR>) {
         #[cfg(debug_assertions)]
         {
             assert_eq!(
@@ -206,31 +206,31 @@ where
     }
 }
 
-pub trait GGLWETensorKeyCompressedToMut {
-    fn to_mut(&mut self) -> GGLWETensorKeyCompressed<&mut [u8]>;
+pub trait TensorKeyCompressedToMut {
+    fn to_mut(&mut self) -> TensorKeyCompressed<&mut [u8]>;
 }
 
-impl<D: DataMut> GGLWETensorKeyCompressedToMut for GGLWETensorKeyCompressed<D>
+impl<D: DataMut> TensorKeyCompressedToMut for TensorKeyCompressed<D>
 where
-    GGLWEKeyCompressed<D>: GGLWEKeyCompressedToMut,
+    GLWESwitchingKeyCompressed<D>: GLWESwitchingKeyCompressedToMut,
 {
-    fn to_mut(&mut self) -> GGLWETensorKeyCompressed<&mut [u8]> {
-        GGLWETensorKeyCompressed {
+    fn to_mut(&mut self) -> TensorKeyCompressed<&mut [u8]> {
+        TensorKeyCompressed {
             keys: self.keys.iter_mut().map(|c| c.to_mut()).collect(),
         }
     }
 }
 
-pub trait GGLWETensorKeyCompressedToRef {
-    fn to_ref(&self) -> GGLWETensorKeyCompressed<&[u8]>;
+pub trait TensorKeyCompressedToRef {
+    fn to_ref(&self) -> TensorKeyCompressed<&[u8]>;
 }
 
-impl<D: DataMut> GGLWETensorKeyCompressedToRef for GGLWETensorKeyCompressed<D>
+impl<D: DataRef> TensorKeyCompressedToRef for TensorKeyCompressed<D>
 where
-    GGLWEKeyCompressed<D>: GGLWEKeyCompressedToRef,
+    GLWESwitchingKeyCompressed<D>: GLWESwitchingKeyCompressedToRef,
 {
-    fn to_ref(&self) -> GGLWETensorKeyCompressed<&[u8]> {
-        GGLWETensorKeyCompressed {
+    fn to_ref(&self) -> TensorKeyCompressed<&[u8]> {
+        TensorKeyCompressed {
             keys: self.keys.iter().map(|c| c.to_ref()).collect(),
         }
     }
diff --git a/poulpy-core/src/layouts/compressed/ggsw_ct.rs b/poulpy-core/src/layouts/compressed/ggsw_ct.rs
index b751bfc..3d15e3e 100644
--- a/poulpy-core/src/layouts/compressed/ggsw_ct.rs
+++ b/poulpy-core/src/layouts/compressed/ggsw_ct.rs
@@ -7,7 +7,7 @@ use poulpy_hal::{
 };
 
 use crate::layouts::{
-    Base2K, Degree, Dnum, Dsize, GGSWCiphertext, GGSWInfos, GLWEInfos, LWEInfos, Rank, TorusPrecision,
+    Base2K, Degree, Dnum, Dsize, GGSW, GGSWInfos, GLWEInfos, LWEInfos, Rank, TorusPrecision,
     compressed::{Decompress, GLWECiphertextCompressed},
 };
 use byteorder::{LittleEndian, ReadBytesExt, WriteBytesExt};
@@ -217,7 +217,7 @@ impl<D: DataRef> WriterTo for GGSWCiphertextCompressed<D> {
     }
 }
 
-impl<D: DataMut, B: Backend, DR: DataRef> Decompress<B, GGSWCiphertextCompressed<DR>> for GGSWCiphertext<D>
+impl<D: DataMut, B: Backend, DR: DataRef> Decompress<B, GGSWCiphertextCompressed<DR>> for GGSW<D>
 where
     Module<B>: VecZnxFillUniform + VecZnxCopy,
 {
diff --git a/poulpy-core/src/layouts/compressed/glwe_ct.rs b/poulpy-core/src/layouts/compressed/glwe_ct.rs
index 30a3733..576774d 100644
--- a/poulpy-core/src/layouts/compressed/glwe_ct.rs
+++ b/poulpy-core/src/layouts/compressed/glwe_ct.rs
@@ -1,10 +1,14 @@
 use poulpy_hal::{
     api::{VecZnxCopy, VecZnxFillUniform},
-    layouts::{Backend, Data, DataMut, DataRef, FillUniform, Module, ReaderFrom, VecZnx, WriterTo, ZnxInfos},
+    layouts::{
+        Backend, Data, DataMut, DataRef, FillUniform, Module, ReaderFrom, VecZnx, VecZnxToMut, VecZnxToRef, WriterTo, ZnxInfos,
+    },
     source::Source,
 };
 
-use crate::layouts::{Base2K, Degree, GLWECiphertext, GLWEInfos, LWEInfos, Rank, TorusPrecision, compressed::Decompress};
+use crate::layouts::{
+    Base2K, BuildError, Degree, GLWECiphertext, GLWEInfos, LWEInfos, Rank, TorusPrecision, compressed::Decompress,
+};
 use byteorder::{LittleEndian, ReadBytesExt, WriteBytesExt};
 use std::fmt;
 
@@ -96,6 +100,101 @@ impl GLWECiphertextCompressed<Vec<u8>> {
     }
 }
 
+pub struct GLWECiphertextCompressedBuilder<D: Data> {
+    data: Option<VecZnx<D>>,
+    base2k: Option<Base2K>,
+    k: Option<TorusPrecision>,
+    rank: Option<Rank>,
+}
+
+impl<D: Data> GLWECiphertextCompressed<D> {
+    #[inline]
+    pub fn builder() -> GLWECiphertextCompressedBuilder<D> {
+        GLWECiphertextCompressedBuilder {
+            data: None,
+            base2k: None,
+            k: None,
+            rank: None,
+        }
+    }
+}
+
+impl GLWECiphertextCompressedBuilder<Vec<u8>> {
+    #[inline]
+    pub fn layout<A>(mut self, layout: &A) -> Self
+    where
+        A: GLWEInfos,
+    {
+        self.data = Some(VecZnx::alloc(layout.n().into(), 1, layout.size()));
+        self.base2k = Some(layout.base2k());
+        self.k = Some(layout.k());
+        self.rank = Some(layout.rank());
+        self
+    }
+}
+
+impl<D: Data> GLWECiphertextCompressedBuilder<D> {
+    #[inline]
+    pub fn data(mut self, data: VecZnx<D>) -> Self {
+        self.data = Some(data);
+        self
+    }
+    #[inline]
+    pub fn base2k(mut self, base2k: Base2K) -> Self {
+        self.base2k = Some(base2k);
+        self
+    }
+    #[inline]
+    pub fn k(mut self, k: TorusPrecision) -> Self {
+        self.k = Some(k);
+        self
+    }
+    #[inline]
+    pub fn rank(mut self, rank: Rank) -> Self {
+        self.rank = Some(rank);
+        self
+    }
+
+    pub fn build(self) -> Result<GLWECiphertextCompressed<D>, BuildError> {
+        let data: VecZnx<D> = self.data.ok_or(BuildError::MissingData)?;
+        let base2k: Base2K = self.base2k.ok_or(BuildError::MissingBase2K)?;
+        let k: TorusPrecision = self.k.ok_or(BuildError::MissingK)?;
+        let rank: Rank = self.rank.ok_or(BuildError::MissingK)?;
+
+        if base2k == 0_u32 {
+            return Err(BuildError::ZeroBase2K);
+        }
+
+        if k == 0_u32 {
+            return Err(BuildError::ZeroTorusPrecision);
+        }
+
+        if rank == 0_u32 {
+            return Err(BuildError::ZeroRank);
+        }
+
+        if data.n() == 0 {
+            return Err(BuildError::ZeroDegree);
+        }
+
+        if data.cols() != 1 {
+            return Err(BuildError::VecZnxColsNotOne);
+        }
+
+        if data.size() == 0 {
+            return Err(BuildError::ZeroLimbs);
+        }
+
+        Ok(GLWECiphertextCompressed {
+            data,
+            base2k,
+            k,
+            rank,
+            seed: [0u8; 32],
+        })
+    }
+}
+
 impl<D: DataMut> ReaderFrom for GLWECiphertextCompressed<D> {
     fn read_from<R: std::io::Read>(&mut self, reader: &mut R) -> std::io::Result<()> {
         self.k = TorusPrecision(reader.read_u32::<LittleEndian>()?);
@@ -176,3 +275,35 @@ impl<D: DataMut> GLWECiphertext<D> {
         self.k = other.k;
     }
 }
+
+pub trait GLWECiphertextCompressedToRef {
+    fn to_ref(&self) -> GLWECiphertextCompressed<&[u8]>;
+}
+
+impl<D: DataRef> GLWECiphertextCompressedToRef for GLWECiphertextCompressed<D> {
+    fn to_ref(&self) -> GLWECiphertextCompressed<&[u8]> {
+        GLWECiphertextCompressed::builder()
+            .k(self.k())
+            .base2k(self.base2k())
+            .rank(self.rank())
+            .data(self.data.to_ref())
+            .build()
+            .unwrap()
+    }
+}
+
+pub trait GLWECiphertextCompressedToMut {
+    fn to_mut(&mut self) -> GLWECiphertextCompressed<&mut [u8]>;
+}
+
+impl<D: DataMut> GLWECiphertextCompressedToMut for GLWECiphertextCompressed<D> {
+    fn to_mut(&mut self) -> GLWECiphertextCompressed<&mut [u8]> {
+        GLWECiphertextCompressed::builder()
+            .k(self.k())
+            .base2k(self.base2k())
+            .rank(self.rank())
+            .data(self.data.to_mut())
+            .build()
+            .unwrap()
+    }
+}
diff --git a/poulpy-core/src/layouts/compressed/glwe_to_lwe_ksk.rs b/poulpy-core/src/layouts/compressed/glwe_to_lwe_ksk.rs
index 317e0e5..c3969b2 100644
--- a/poulpy-core/src/layouts/compressed/glwe_to_lwe_ksk.rs
+++ b/poulpy-core/src/layouts/compressed/glwe_to_lwe_ksk.rs
@@ -6,11 +6,11 @@ use poulpy_hal::{
 };
 
 use crate::layouts::{
-    Base2K, Degree, Dnum, Dsize, GGLWEInfos, GLWEInfos, LWEInfos, Rank, TorusPrecision, compressed::GGLWEKeyCompressed,
+    Base2K, Degree, Dnum, Dsize, GGLWEInfos, GLWEInfos, LWEInfos, Rank, TorusPrecision, compressed::GLWESwitchingKeyCompressed,
 };
 
 #[derive(PartialEq, Eq, Clone)]
-pub struct GLWEToLWESwitchingKeyCompressed<D: Data>(pub(crate) GGLWEKeyCompressed<D>);
+pub struct GLWEToLWESwitchingKeyCompressed<D: Data>(pub(crate) GLWESwitchingKeyCompressed<D>);
 
 impl<D: Data> LWEInfos for GLWEToLWESwitchingKeyCompressed<D> {
     fn base2k(&self) -> Base2K {
@@ -98,11 +98,11 @@ impl GLWEToLWESwitchingKeyCompressed<Vec<u8>> {
             1,
             "dsize > 1 is unsupported for GLWEToLWESwitchingKeyCompressed"
         );
-        Self(GGLWEKeyCompressed::alloc(infos))
+        Self(GLWESwitchingKeyCompressed::alloc(infos))
     }
 
     pub fn alloc_with(n: Degree, base2k: Base2K, k: TorusPrecision, rank_in: Rank, dnum: Dnum) -> Self {
-        Self(GGLWEKeyCompressed::alloc_with(
+        Self(GLWESwitchingKeyCompressed::alloc_with(
             n,
             base2k,
             k,
@@ -127,10 +127,10 @@ impl GLWEToLWESwitchingKeyCompressed<Vec<u8>> {
             1,
             "dsize > 1 is unsupported for GLWEToLWESwitchingKeyCompressed"
         );
-        GGLWEKeyCompressed::alloc_bytes(infos)
+        GLWESwitchingKeyCompressed::alloc_bytes(infos)
     }
 
     pub fn alloc_bytes_with(n: Degree, base2k: Base2K, k: TorusPrecision, dnum: Dnum, rank_in: Rank) -> usize {
-        GGLWEKeyCompressed::alloc_bytes_with(n, base2k, k, rank_in, dnum, Dsize(1))
+        GLWESwitchingKeyCompressed::alloc_bytes_with(n, base2k, k, rank_in, dnum, Dsize(1))
     }
 }
diff --git a/poulpy-core/src/layouts/compressed/lwe_ksk.rs b/poulpy-core/src/layouts/compressed/lwe_ksk.rs
index 9d45d0a..d7ea93b 100644
--- a/poulpy-core/src/layouts/compressed/lwe_ksk.rs
+++ b/poulpy-core/src/layouts/compressed/lwe_ksk.rs
@@ -6,12 +6,12 @@ use poulpy_hal::{
 
 use crate::layouts::{
     Base2K, Degree, Dnum, Dsize, GGLWEInfos, GLWEInfos, LWEInfos, LWESwitchingKey, Rank, TorusPrecision,
-    compressed::{Decompress, GGLWEKeyCompressed},
+    compressed::{Decompress, GLWESwitchingKeyCompressed},
 };
 use std::fmt;
 
 #[derive(PartialEq, Eq, Clone)]
-pub struct LWESwitchingKeyCompressed<D: Data>(pub(crate) GGLWEKeyCompressed<D>);
+pub struct LWESwitchingKeyCompressed<D: Data>(pub(crate) GLWESwitchingKeyCompressed<D>);
 
 impl<D: Data> LWEInfos for LWESwitchingKeyCompressed<D> {
     fn base2k(&self) -> Base2K {
@@ -103,11 +103,11 @@ impl LWESwitchingKeyCompressed<Vec<u8>> {
             1,
             "rank_out > 1 is not supported for LWESwitchingKeyCompressed"
         );
-        Self(GGLWEKeyCompressed::alloc(infos))
+        Self(GLWESwitchingKeyCompressed::alloc(infos))
     }
 
     pub fn alloc_with(n: Degree, base2k: Base2K, k: TorusPrecision, dnum: Dnum) -> Self {
-        Self(GGLWEKeyCompressed::alloc_with(
+        Self(GLWESwitchingKeyCompressed::alloc_with(
             n,
             base2k,
             k,
@@ -137,11 +137,11 @@ impl LWESwitchingKeyCompressed<Vec<u8>> {
             1,
             "rank_out > 1 is not supported for LWESwitchingKey"
         );
-        GGLWEKeyCompressed::alloc_bytes(infos)
+        GLWESwitchingKeyCompressed::alloc_bytes(infos)
     }
 
     pub fn alloc_bytes_with(n: Degree, base2k: Base2K, k: TorusPrecision, dnum: Dnum) -> usize {
-        GGLWEKeyCompressed::alloc_bytes_with(n, base2k, k, Rank(1), dnum, Dsize(1))
+        GLWESwitchingKeyCompressed::alloc_bytes_with(n, base2k, k, Rank(1), dnum, Dsize(1))
     }
 }
 
diff --git a/poulpy-core/src/layouts/compressed/lwe_to_glwe_ksk.rs b/poulpy-core/src/layouts/compressed/lwe_to_glwe_ksk.rs
index bcc69a4..c1000ff 100644
--- a/poulpy-core/src/layouts/compressed/lwe_to_glwe_ksk.rs
+++ b/poulpy-core/src/layouts/compressed/lwe_to_glwe_ksk.rs
@@ -6,12 +6,12 @@ use poulpy_hal::{
 
 use crate::layouts::{
     Base2K, Degree, Dnum, Dsize, GGLWEInfos, GLWEInfos, LWEInfos, LWEToGLWESwitchingKey, Rank, TorusPrecision,
-    compressed::{Decompress, GGLWEKeyCompressed},
+    compressed::{Decompress, GLWESwitchingKeyCompressed},
 };
 use std::fmt;
 
 #[derive(PartialEq, Eq, Clone)]
-pub struct LWEToGLWESwitchingKeyCompressed<D: Data>(pub(crate) GGLWEKeyCompressed<D>);
+pub struct LWEToGLWESwitchingKeyCompressed<D: Data>(pub(crate) GLWESwitchingKeyCompressed<D>);
 
 impl<D: Data> LWEInfos for LWEToGLWESwitchingKeyCompressed<D> {
     fn n(&self) -> Degree {
@@ -98,11 +98,11 @@ impl LWEToGLWESwitchingKeyCompressed<Vec<u8>> {
             1,
             "rank_in > 1 is not supported for LWEToGLWESwitchingKeyCompressed"
         );
-        Self(GGLWEKeyCompressed::alloc(infos))
+        Self(GLWESwitchingKeyCompressed::alloc(infos))
     }
 
     pub fn alloc_with(n: Degree, base2k: Base2K, k: TorusPrecision, rank_out: Rank, dnum: Dnum) -> Self {
-        Self(GGLWEKeyCompressed::alloc_with(
+        Self(GLWESwitchingKeyCompressed::alloc_with(
             n,
             base2k,
             k,
@@ -127,11 +127,11 @@ impl LWEToGLWESwitchingKeyCompressed<Vec<u8>> {
             1,
             "dsize > 1 is not supported for LWEToGLWESwitchingKey"
         );
-        GGLWEKeyCompressed::alloc_bytes(infos)
+        GLWESwitchingKeyCompressed::alloc_bytes(infos)
     }
 
     pub fn alloc_bytes_with(n: Degree, base2k: Base2K, k: TorusPrecision, dnum: Dnum) -> usize {
-        GGLWEKeyCompressed::alloc_bytes_with(n, base2k, k, Rank(1), dnum, Dsize(1))
+        GLWESwitchingKeyCompressed::alloc_bytes_with(n, base2k, k, Rank(1), dnum, Dsize(1))
     }
 }
 
diff --git a/poulpy-core/src/layouts/gglwe_atk.rs b/poulpy-core/src/layouts/gglwe_atk.rs
index a88db86..f9244e1 100644
--- a/poulpy-core/src/layouts/gglwe_atk.rs
+++ b/poulpy-core/src/layouts/gglwe_atk.rs
@@ -4,15 +4,15 @@ use poulpy_hal::{
 };
 
 use crate::layouts::{
-    Base2K, Degree, Dnum, Dsize, GGLWEInfos, GGLWESwitchingKey, GGLWESwitchingKeyToMut, GLWECiphertext, GLWEInfos, LWEInfos,
-    Rank, TorusPrecision,
+    Base2K, Degree, Dnum, Dsize, GGLWEInfos, GLWECiphertext, GLWEInfos, GLWESwitchingKey, GLWESwitchingKeyToMut,
+    GLWESwitchingKeyToRef, LWEInfos, Rank, TorusPrecision,
 };
 use byteorder::{LittleEndian, ReadBytesExt, WriteBytesExt};
 
 use std::fmt;
 
 #[derive(PartialEq, Eq, Copy, Clone, Debug)]
-pub struct GGLWEAutomorphismKeyLayout {
+pub struct AutomorphismKeyLayout {
     pub n: Degree,
     pub base2k: Base2K,
     pub k: TorusPrecision,
@@ -22,18 +22,18 @@ pub struct GGLWEAutomorphismKeyLayout {
 }
 
 #[derive(PartialEq, Eq, Clone)]
-pub struct GGLWEAutomorphismKey<D: Data> {
-    pub(crate) key: GGLWESwitchingKey<D>,
+pub struct AutomorphismKey<D: Data> {
+    pub(crate) key: GLWESwitchingKey<D>,
     pub(crate) p: i64,
 }
 
-impl<D: Data> GGLWEAutomorphismKey<D> {
+impl<D: Data> AutomorphismKey<D> {
     pub fn p(&self) -> i64 {
         self.p
     }
 }
 
-impl<D: Data> LWEInfos for GGLWEAutomorphismKey<D> {
+impl<D: Data> LWEInfos for AutomorphismKey<D> {
     fn n(&self) -> Degree {
         self.key.n()
     }
@@ -51,13 +51,13 @@ impl<D: Data> LWEInfos for GGLWEAutomorphismKey<D> {
     }
 }
 
-impl<D: Data> GLWEInfos for GGLWEAutomorphismKey<D> {
+impl<D: Data> GLWEInfos for AutomorphismKey<D> {
     fn rank(&self) -> Rank {
         self.rank_out()
     }
 }
 
-impl<D: Data> GGLWEInfos for GGLWEAutomorphismKey<D> {
+impl<D: Data> GGLWEInfos for AutomorphismKey<D> {
     fn rank_in(&self) -> Rank {
         self.key.rank_in()
     }
@@ -75,7 +75,7 @@ impl<D: Data> GGLWEInfos for GGLWEAutomorphismKey<D> {
     }
 }
 
-impl LWEInfos for GGLWEAutomorphismKeyLayout {
+impl LWEInfos for AutomorphismKeyLayout {
     fn base2k(&self) -> Base2K {
         self.base2k
     }
@@ -89,13 +89,13 @@ impl LWEInfos for GGLWEAutomorphismKeyLayout {
     }
 }
 
-impl GLWEInfos for GGLWEAutomorphismKeyLayout {
+impl GLWEInfos for AutomorphismKeyLayout {
     fn rank(&self) -> Rank {
         self.rank
     }
 }
 
-impl GGLWEInfos for GGLWEAutomorphismKeyLayout {
+impl GGLWEInfos for AutomorphismKeyLayout {
     fn rank_in(&self) -> Rank {
         self.rank
     }
@@ -113,25 +113,25 @@ impl GGLWEInfos for GGLWEAutomorphismKeyLayout {
     }
 }
 
-impl<D: DataRef> fmt::Debug for GGLWEAutomorphismKey<D> {
+impl<D: DataRef> fmt::Debug for AutomorphismKey<D> {
     fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
         write!(f, "{self}")
     }
 }
 
-impl<D: DataMut> FillUniform for GGLWEAutomorphismKey<D> {
+impl<D: DataMut> FillUniform for AutomorphismKey<D> {
     fn fill_uniform(&mut self, log_bound: usize, source: &mut Source) {
         self.key.fill_uniform(log_bound, source);
     }
 }
 
-impl<D: DataRef> fmt::Display for GGLWEAutomorphismKey<D> {
+impl<D: DataRef> fmt::Display for AutomorphismKey<D> {
     fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
         write!(f, "(AutomorphismKey: p={}) {}", self.p, self.key)
     }
 }
 
-impl GGLWEAutomorphismKey<Vec<u8>> {
+impl AutomorphismKey<Vec<u8>> {
     pub fn alloc<A>(infos: &A) -> Self
     where
         A: GGLWEInfos,
@@ -141,15 +141,15 @@ impl GGLWEAutomorphismKey<Vec<u8>> {
             infos.rank_out(),
             "rank_in != rank_out is not supported for GGLWEAutomorphismKey"
         );
-        GGLWEAutomorphismKey {
-            key: GGLWESwitchingKey::alloc(infos),
+        AutomorphismKey {
+            key: GLWESwitchingKey::alloc(infos),
             p: 0,
         }
     }
 
     pub fn alloc_with(n: Degree, base2k: Base2K, k: TorusPrecision, rank: Rank, dnum: Dnum, dsize: Dsize) -> Self {
-        GGLWEAutomorphismKey {
-            key: GGLWESwitchingKey::alloc_with(n, base2k, k, rank, rank, dnum, dsize),
+        AutomorphismKey {
+            key: GLWESwitchingKey::alloc_with(n, base2k, k, rank, rank, dnum, dsize),
             p: 0,
         }
     }
@@ -163,54 +163,66 @@ impl GGLWEAutomorphismKey<Vec<u8>> {
             infos.rank_out(),
             "rank_in != rank_out is not supported for GGLWEAutomorphismKey"
         );
-        GGLWESwitchingKey::alloc_bytes(infos)
+        GLWESwitchingKey::alloc_bytes(infos)
     }
 
     pub fn bytes_of(n: Degree, base2k: Base2K, k: TorusPrecision, rank: Rank, dnum: Dnum, dsize: Dsize) -> usize {
-        GGLWESwitchingKey::alloc_bytes_with(n, base2k, k, rank, rank, dnum, dsize)
+        GLWESwitchingKey::alloc_bytes_with(n, base2k, k, rank, rank, dnum, dsize)
     }
 }
 
-pub trait GGLWEAutomorphismKeyToMut {
-    fn to_mut(&mut self) -> GGLWEAutomorphismKey<&mut [u8]>;
+pub trait AutomorphismKeyToMut {
+    fn to_mut(&mut self) -> AutomorphismKey<&mut [u8]>;
 }
 
-impl<D: DataMut> GGLWEAutomorphismKeyToMut for GGLWEAutomorphismKey<D>
+impl<D: DataMut> AutomorphismKeyToMut for AutomorphismKey<D>
 where
-    GGLWESwitchingKey<D>: GGLWESwitchingKeyToMut,
+    GLWESwitchingKey<D>: GLWESwitchingKeyToMut,
 {
-    fn to_mut(&mut self) -> GGLWEAutomorphismKey<&mut [u8]> {
-        GGLWEAutomorphismKey {
+    fn to_mut(&mut self) -> AutomorphismKey<&mut [u8]> {
+        AutomorphismKey {
             key: self.key.to_mut(),
             p: self.p,
         }
     }
 }
 
-pub trait GGLWEAutomorphismKeyToRef {
-    fn to_ref(&self) -> GGLWEAutomorphismKey<&[u8]>;
+pub trait AutomorphismKeyToRef {
+    fn to_ref(&self) -> AutomorphismKey<&[u8]>;
 }
 
-impl<D: DataRef> GGLWEAutomorphismKey<D> {
+impl<D: DataRef> AutomorphismKeyToRef for AutomorphismKey<D>
+where
+    GLWESwitchingKey<D>: GLWESwitchingKeyToRef,
+{
+    fn to_ref(&self) -> AutomorphismKey<&[u8]> {
+        AutomorphismKey {
+            p: self.p,
+            key: self.key.to_ref(),
+        }
+    }
+}
+
+impl<D: DataRef> AutomorphismKey<D> {
     pub fn at(&self, row: usize, col: usize) -> GLWECiphertext<&[u8]> {
         self.key.at(row, col)
     }
 }
 
-impl<D: DataMut> GGLWEAutomorphismKey<D> {
+impl<D: DataMut> AutomorphismKey<D> {
     pub fn at_mut(&mut self, row: usize, col: usize) -> GLWECiphertext<&mut [u8]> {
         self.key.at_mut(row, col)
     }
 }
 
-impl<D: DataMut> ReaderFrom for GGLWEAutomorphismKey<D> {
+impl<D: DataMut> ReaderFrom for AutomorphismKey<D> {
     fn read_from<R: std::io::Read>(&mut self, reader: &mut R) -> std::io::Result<()> {
         self.p = reader.read_u64::<LittleEndian>()? as i64;
         self.key.read_from(reader)
     }
 }
 
-impl<D: DataRef> WriterTo for GGLWEAutomorphismKey<D> {
+impl<D: DataRef> WriterTo for AutomorphismKey<D> {
     fn write_to<W: std::io::Write>(&self, writer: &mut W) -> std::io::Result<()> {
         writer.write_u64::<LittleEndian>(self.p as u64)?;
         self.key.write_to(writer)
diff --git a/poulpy-core/src/layouts/gglwe_ct.rs b/poulpy-core/src/layouts/gglwe_ct.rs
index 713df90..8546499 100644
--- a/poulpy-core/src/layouts/gglwe_ct.rs
+++ b/poulpy-core/src/layouts/gglwe_ct.rs
@@ -29,6 +29,10 @@ where
     }
 }
 
+pub trait SetGGLWEInfos {
+    fn set_dsize(&mut self, dsize: usize);
+}
+
 #[derive(PartialEq, Eq, Copy, Clone, Debug)]
 pub struct GGLWECiphertextLayout {
     pub n: Degree,
@@ -79,14 +83,14 @@ impl GGLWEInfos for GGLWECiphertextLayout {
 }
 
 #[derive(PartialEq, Eq, Clone)]
-pub struct GGLWECiphertext<D: Data> {
+pub struct GGLWE<D: Data> {
     pub(crate) data: MatZnx<D>,
     pub(crate) k: TorusPrecision,
     pub(crate) base2k: Base2K,
     pub(crate) dsize: Dsize,
 }
 
-impl<D: Data> LWEInfos for GGLWECiphertext<D> {
+impl<D: Data> LWEInfos for GGLWE<D> {
     fn base2k(&self) -> Base2K {
         self.base2k
     }
@@ -104,13 +108,13 @@ impl<D: Data> LWEInfos for GGLWECiphertext<D> {
     }
 }
 
-impl<D: Data> GLWEInfos for GGLWECiphertext<D> {
+impl<D: Data> GLWEInfos for GGLWE<D> {
     fn rank(&self) -> Rank {
         self.rank_out()
     }
 }
 
-impl<D: Data> GGLWEInfos for GGLWECiphertext<D> {
+impl<D: Data> GGLWEInfos for GGLWE<D> {
     fn rank_in(&self) -> Rank {
         Rank(self.data.cols_in() as u32)
     }
@@ -135,7 +139,7 @@ pub struct GGLWECiphertextBuilder<D: Data> {
     dsize: Option<Dsize>,
 }
 
-impl<D: Data> GGLWECiphertext<D> {
+impl<D: Data> GGLWE<D> {
     #[inline]
     pub fn builder() -> GGLWECiphertextBuilder<D> {
         GGLWECiphertextBuilder {
@@ -190,7 +194,7 @@ impl<D: Data> GGLWECiphertextBuilder<D> {
         self
     }
 
-    pub fn build(self) -> Result<GGLWECiphertext<D>, BuildError> {
+    pub fn build(self) -> Result<GGLWE<D>, BuildError> {
         let data: MatZnx<D> = self.data.ok_or(BuildError::MissingData)?;
         let base2k: Base2K = self.base2k.ok_or(BuildError::MissingBase2K)?;
         let k: TorusPrecision = self.k.ok_or(BuildError::MissingK)?;
@@ -220,7 +224,7 @@ impl<D: Data> GGLWECiphertextBuilder<D> {
             return Err(BuildError::ZeroLimbs);
         }
 
-        Ok(GGLWECiphertext {
+        Ok(GGLWE {
             data,
             base2k,
             k,
@@ -229,31 +233,31 @@ impl<D: Data> GGLWECiphertextBuilder<D> {
     }
 }
 
-impl<D: DataRef> GGLWECiphertext<D> {
+impl<D: DataRef> GGLWE<D> {
     pub fn data(&self) -> &MatZnx<D> {
         &self.data
     }
 }
 
-impl<D: DataMut> GGLWECiphertext<D> {
+impl<D: DataMut> GGLWE<D> {
     pub fn data_mut(&mut self) -> &mut MatZnx<D> {
         &mut self.data
     }
 }
 
-impl<D: DataRef> fmt::Debug for GGLWECiphertext<D> {
+impl<D: DataRef> fmt::Debug for GGLWE<D> {
     fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
         write!(f, "{self}")
     }
 }
 
-impl<D: DataMut> FillUniform for GGLWECiphertext<D> {
+impl<D: DataMut> FillUniform for GGLWE<D> {
     fn fill_uniform(&mut self, log_bound: usize, source: &mut Source) {
         self.data.fill_uniform(log_bound, source);
     }
 }
 
-impl<D: DataRef> fmt::Display for GGLWECiphertext<D> {
+impl<D: DataRef> fmt::Display for GGLWE<D> {
     fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
         write!(
             f,
@@ -266,7 +270,7 @@ impl<D: DataRef> fmt::Display for GGLWECiphertext<D> {
     }
 }
 
-impl<D: DataRef> GGLWECiphertext<D> {
+impl<D: DataRef> GGLWE<D> {
     pub fn at(&self, row: usize, col: usize) -> GLWECiphertext<&[u8]> {
         GLWECiphertext::builder()
             .data(self.data.at(row, col))
@@ -277,7 +281,7 @@ impl<D: DataRef> GGLWECiphertext<D> {
     }
 }
 
-impl<D: DataMut> GGLWECiphertext<D> {
+impl<D: DataMut> GGLWE<D> {
     pub fn at_mut(&mut self, row: usize, col: usize) -> GLWECiphertext<&mut [u8]> {
         GLWECiphertext::builder()
             .base2k(self.base2k())
@@ -288,7 +292,7 @@ impl<D: DataMut> GGLWECiphertext<D> {
     }
 }
 
-impl GGLWECiphertext<Vec<u8>> {
+impl GGLWE<Vec<u8>> {
     pub fn alloc<A>(infos: &A) -> Self
     where
         A: GGLWEInfos,
@@ -390,12 +394,12 @@ impl GGLWECiphertext<Vec<u8>> {
 }
 
 pub trait GGLWECiphertextToMut {
-    fn to_mut(&mut self) -> GGLWECiphertext<&mut [u8]>;
+    fn to_mut(&mut self) -> GGLWE<&mut [u8]>;
 }
 
-impl<D: DataMut> GGLWECiphertextToMut for GGLWECiphertext<D> {
-    fn to_mut(&mut self) -> GGLWECiphertext<&mut [u8]> {
-        GGLWECiphertext {
+impl<D: DataMut> GGLWECiphertextToMut for GGLWE<D> {
+    fn to_mut(&mut self) -> GGLWE<&mut [u8]> {
+        GGLWE {
             k: self.k(),
             base2k: self.base2k(),
             dsize: self.dsize(),
@@ -404,13 +408,13 @@ impl<D: DataMut> GGLWECiphertextToMut for GGLWECiphertext<D> {
     }
 }
 
-pub trait GGLWECiphertextToRef {
-    fn to_ref(&self) -> GGLWECiphertext<&[u8]>;
+pub trait GGLWEToRef {
+    fn to_ref(&self) -> GGLWE<&[u8]>;
 }
 
-impl<D: DataMut> GGLWECiphertextToRef for GGLWECiphertext<D> {
-    fn to_ref(&self) -> GGLWECiphertext<&[u8]> {
-        GGLWECiphertext {
+impl<D: DataRef> GGLWEToRef for GGLWE<D> {
+    fn to_ref(&self) -> GGLWE<&[u8]> {
+        GGLWE {
             k: self.k(),
             base2k: self.base2k(),
             dsize: self.dsize(),
@@ -419,7 +423,7 @@ impl<D: DataMut> GGLWECiphertextToRef for GGLWECiphertext<D> {
     }
 }
 
-impl<D: DataMut> ReaderFrom for GGLWECiphertext<D> {
+impl<D: DataMut> ReaderFrom for GGLWE<D> {
     fn read_from<R: std::io::Read>(&mut self, reader: &mut R) -> std::io::Result<()> {
         self.k = TorusPrecision(reader.read_u32::<LittleEndian>()?);
         self.base2k = Base2K(reader.read_u32::<LittleEndian>()?);
@@ -428,7 +432,7 @@ impl<D: DataMut> ReaderFrom for GGLWECiphertext<D> {
     }
 }
 
-impl<D: DataRef> WriterTo for GGLWECiphertext<D> {
+impl<D: DataRef> WriterTo for GGLWE<D> {
     fn write_to<W: std::io::Write>(&self, writer: &mut W) -> std::io::Result<()> {
         writer.write_u32::<LittleEndian>(self.k.0)?;
         writer.write_u32::<LittleEndian>(self.base2k.0)?;
diff --git a/poulpy-core/src/layouts/gglwe_ksk.rs b/poulpy-core/src/layouts/gglwe_ksk.rs
index 64b1694..e8a8b92 100644
--- a/poulpy-core/src/layouts/gglwe_ksk.rs
+++ b/poulpy-core/src/layouts/gglwe_ksk.rs
@@ -4,7 +4,7 @@ use poulpy_hal::{
 };
 
 use crate::layouts::{
-    Base2K, Degree, Dnum, Dsize, GGLWECiphertext, GGLWECiphertextToMut, GGLWEInfos, GLWECiphertext, GLWEInfos, LWEInfos, Rank,
+    Base2K, Degree, Dnum, Dsize, GGLWE, GGLWECiphertextToMut, GGLWEInfos, GGLWEToRef, GLWECiphertext, GLWEInfos, LWEInfos, Rank,
     TorusPrecision,
 };
 use byteorder::{LittleEndian, ReadBytesExt, WriteBytesExt};
@@ -12,7 +12,7 @@ use byteorder::{LittleEndian, ReadBytesExt, WriteBytesExt};
 use std::fmt;
 
 #[derive(PartialEq, Eq, Copy, Clone, Debug)]
-pub struct GGLWESwitchingKeyLayout {
+pub struct GLWESwitchingKeyLayout {
     pub n: Degree,
     pub base2k: Base2K,
     pub k: TorusPrecision,
@@ -22,7 +22,7 @@ pub struct GGLWESwitchingKeyLayout {
     pub dsize: Dsize,
 }
 
-impl LWEInfos for GGLWESwitchingKeyLayout {
+impl LWEInfos for GLWESwitchingKeyLayout {
     fn n(&self) -> Degree {
         self.n
     }
@@ -36,13 +36,13 @@ impl LWEInfos for GGLWESwitchingKeyLayout {
     }
 }
 
-impl GLWEInfos for GGLWESwitchingKeyLayout {
+impl GLWEInfos for GLWESwitchingKeyLayout {
     fn rank(&self) -> Rank {
         self.rank_out()
     }
 }
 
-impl GGLWEInfos for GGLWESwitchingKeyLayout {
+impl GGLWEInfos for GLWESwitchingKeyLayout {
     fn rank_in(&self) -> Rank {
         self.rank_in
     }
@@ -61,13 +61,13 @@ impl GGLWEInfos for GGLWESwitchingKeyLayout {
 }
 
 #[derive(PartialEq, Eq, Clone)]
-pub struct GGLWESwitchingKey<D: Data> {
-    pub(crate) key: GGLWECiphertext<D>,
+pub struct GLWESwitchingKey<D: Data> {
+    pub(crate) key: GGLWE<D>,
     pub(crate) sk_in_n: usize,  // Degree of sk_in
     pub(crate) sk_out_n: usize, // Degree of sk_out
 }
 
-impl<D: Data> LWEInfos for GGLWESwitchingKey<D> {
+impl<D: Data> LWEInfos for GLWESwitchingKey<D> {
     fn n(&self) -> Degree {
         self.key.n()
     }
@@ -85,13 +85,13 @@ impl<D: Data> LWEInfos for GGLWESwitchingKey<D> {
     }
 }
 
-impl<D: Data> GLWEInfos for GGLWESwitchingKey<D> {
+impl<D: Data> GLWEInfos for GLWESwitchingKey<D> {
     fn rank(&self) -> Rank {
         self.rank_out()
     }
 }
 
-impl<D: Data> GGLWEInfos for GGLWESwitchingKey<D> {
+impl<D: Data> GGLWEInfos for GLWESwitchingKey<D> {
     fn rank_in(&self) -> Rank {
         self.key.rank_in()
     }
@@ -109,13 +109,13 @@ impl<D: Data> GGLWEInfos for GGLWESwitchingKey<D> {
     }
 }
 
-impl<D: DataRef> fmt::Debug for GGLWESwitchingKey<D> {
+impl<D: DataRef> fmt::Debug for GLWESwitchingKey<D> {
     fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
         write!(f, "{self}")
     }
 }
 
-impl<D: DataRef> fmt::Display for GGLWESwitchingKey<D> {
+impl<D: DataRef> fmt::Display for GLWESwitchingKey<D> {
     fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
         write!(
             f,
@@ -127,19 +127,19 @@ impl<D: DataRef> fmt::Display for GGLWESwitchingKey<D> {
     }
 }
 
-impl<D: DataMut> FillUniform for GGLWESwitchingKey<D> {
+impl<D: DataMut> FillUniform for GLWESwitchingKey<D> {
     fn fill_uniform(&mut self, log_bound: usize, source: &mut Source) {
         self.key.fill_uniform(log_bound, source);
     }
 }
 
-impl GGLWESwitchingKey<Vec<u8>> {
+impl GLWESwitchingKey<Vec<u8>> {
     pub fn alloc<A>(infos: &A) -> Self
     where
         A: GGLWEInfos,
     {
-        GGLWESwitchingKey {
-            key: GGLWECiphertext::alloc(infos),
+        GLWESwitchingKey {
+            key: GGLWE::alloc(infos),
             sk_in_n: 0,
             sk_out_n: 0,
         }
@@ -154,8 +154,8 @@ impl GGLWESwitchingKey<Vec<u8>> {
         dnum: Dnum,
         dsize: Dsize,
     ) -> Self {
-        GGLWESwitchingKey {
-            key: GGLWECiphertext::alloc_with(n, base2k, k, rank_in, rank_out, dnum, dsize),
+        GLWESwitchingKey {
+            key: GGLWE::alloc_with(n, base2k, k, rank_in, rank_out, dnum, dsize),
             sk_in_n: 0,
             sk_out_n: 0,
         }
@@ -165,7 +165,7 @@ impl GGLWESwitchingKey<Vec<u8>> {
     where
         A: GGLWEInfos,
     {
-        GGLWECiphertext::alloc_bytes(infos)
+        GGLWE::alloc_bytes(infos)
     }
 
     pub fn alloc_bytes_with(
@@ -177,20 +177,20 @@ impl GGLWESwitchingKey<Vec<u8>> {
         dnum: Dnum,
         dsize: Dsize,
     ) -> usize {
-        GGLWECiphertext::alloc_bytes_with(n, base2k, k, rank_in, rank_out, dnum, dsize)
+        GGLWE::alloc_bytes_with(n, base2k, k, rank_in, rank_out, dnum, dsize)
     }
 }
 
-pub trait GGLWESwitchingKeyToMut {
-    fn to_mut(&mut self) -> GGLWESwitchingKey<&mut [u8]>;
+pub trait GLWESwitchingKeyToMut {
+    fn to_mut(&mut self) -> GLWESwitchingKey<&mut [u8]>;
 }
 
-impl<D: DataMut> GGLWESwitchingKeyToMut for GGLWESwitchingKey<D>
+impl<D: DataMut> GLWESwitchingKeyToMut for GLWESwitchingKey<D>
 where
-    GGLWECiphertext<D>: GGLWECiphertextToMut,
+    GGLWE<D>: GGLWECiphertextToMut,
 {
-    fn to_mut(&mut self) -> GGLWESwitchingKey<&mut [u8]> {
-        GGLWESwitchingKey {
+    fn to_mut(&mut self) -> GLWESwitchingKey<&mut [u8]> {
+        GLWESwitchingKey {
             key: self.key.to_mut(),
             sk_in_n: self.sk_in_n,
             sk_out_n: self.sk_out_n,
@@ -198,19 +198,36 @@ where
     }
 }
 
-impl<D: DataRef> GGLWESwitchingKey<D> {
+pub trait GLWESwitchingKeyToRef {
+    fn to_ref(&self) -> GLWESwitchingKey<&[u8]>;
+}
+
+impl<D: DataRef> GLWESwitchingKeyToRef for GLWESwitchingKey<D>
+where
+    GGLWE<D>: GGLWEToRef,
+{
+    fn to_ref(&self) -> GLWESwitchingKey<&[u8]> {
+        GLWESwitchingKey {
+            key: self.key.to_ref(),
+            sk_in_n: self.sk_in_n,
+            sk_out_n: self.sk_out_n,
+        }
+    }
+}
+
+impl<D: DataRef> GLWESwitchingKey<D> {
     pub fn at(&self, row: usize, col: usize) -> GLWECiphertext<&[u8]> {
         self.key.at(row, col)
     }
 }
 
-impl<D: DataMut> GGLWESwitchingKey<D> {
+impl<D: DataMut> GLWESwitchingKey<D> {
     pub fn at_mut(&mut self, row: usize, col: usize) -> GLWECiphertext<&mut [u8]> {
         self.key.at_mut(row, col)
     }
 }
 
-impl<D: DataMut> ReaderFrom for GGLWESwitchingKey<D> {
+impl<D: DataMut> ReaderFrom for GLWESwitchingKey<D> {
     fn read_from<R: std::io::Read>(&mut self, reader: &mut R) -> std::io::Result<()> {
         self.sk_in_n = reader.read_u64::<LittleEndian>()? as usize;
         self.sk_out_n = reader.read_u64::<LittleEndian>()? as usize;
@@ -218,7 +235,7 @@ impl<D: DataMut> ReaderFrom for GGLWESwitchingKey<D> {
     }
 }
 
-impl<D: DataRef> WriterTo for GGLWESwitchingKey<D> {
+impl<D: DataRef> WriterTo for GLWESwitchingKey<D> {
     fn write_to<W: std::io::Write>(&self, writer: &mut W) -> std::io::Result<()> {
         writer.write_u64::<LittleEndian>(self.sk_in_n as u64)?;
         writer.write_u64::<LittleEndian>(self.sk_out_n as u64)?;
diff --git a/poulpy-core/src/layouts/gglwe_tsk.rs b/poulpy-core/src/layouts/gglwe_tsk.rs
index a949b7e..e6eae2d 100644
--- a/poulpy-core/src/layouts/gglwe_tsk.rs
+++ b/poulpy-core/src/layouts/gglwe_tsk.rs
@@ -3,13 +3,16 @@ use poulpy_hal::{
     source::Source,
 };
 
-use crate::layouts::{Base2K, Degree, Dnum, Dsize, GGLWEInfos, GGLWESwitchingKey, GLWEInfos, LWEInfos, Rank, TorusPrecision};
+use crate::layouts::{
+    Base2K, Degree, Dnum, Dsize, GGLWEInfos, GLWEInfos, GLWESwitchingKey, GLWESwitchingKeyToMut, GLWESwitchingKeyToRef, LWEInfos,
+    Rank, TorusPrecision,
+};
 use byteorder::{LittleEndian, ReadBytesExt, WriteBytesExt};
 
 use std::fmt;
 
 #[derive(PartialEq, Eq, Copy, Clone, Debug)]
-pub struct GGLWETensorKeyLayout {
+pub struct TensorKeyLayout {
     pub n: Degree,
     pub base2k: Base2K,
     pub k: TorusPrecision,
@@ -19,11 +22,11 @@ pub struct GGLWETensorKeyLayout {
 }
 
 #[derive(PartialEq, Eq, Clone)]
-pub struct GGLWETensorKey<D: Data> {
-    pub(crate) keys: Vec<GGLWESwitchingKey<D>>,
+pub struct TensorKey<D: Data> {
+    pub(crate) keys: Vec<GLWESwitchingKey<D>>,
 }
 
-impl<D: Data> LWEInfos for GGLWETensorKey<D> {
+impl<D: Data> LWEInfos for TensorKey<D> {
     fn n(&self) -> Degree {
         self.keys[0].n()
     }
@@ -41,13 +44,13 @@ impl<D: Data> LWEInfos for GGLWETensorKey<D> {
     }
 }
 
-impl<D: Data> GLWEInfos for GGLWETensorKey<D> {
+impl<D: Data> GLWEInfos for TensorKey<D> {
     fn rank(&self) -> Rank {
         self.keys[0].rank_out()
     }
 }
 
-impl<D: Data> GGLWEInfos for GGLWETensorKey<D> {
+impl<D: Data> GGLWEInfos for TensorKey<D> {
     fn rank_in(&self) -> Rank {
         self.rank_out()
     }
@@ -65,7 +68,7 @@ impl<D: Data> GGLWEInfos for GGLWETensorKey<D> {
     }
 }
 
-impl LWEInfos for GGLWETensorKeyLayout {
+impl LWEInfos for TensorKeyLayout {
     fn n(&self) -> Degree {
         self.n
     }
@@ -79,13 +82,13 @@ impl LWEInfos for GGLWETensorKeyLayout {
     }
 }
 
-impl GLWEInfos for GGLWETensorKeyLayout {
+impl GLWEInfos for TensorKeyLayout {
     fn rank(&self) -> Rank {
         self.rank_out()
     }
 }
 
-impl GGLWEInfos for GGLWETensorKeyLayout {
+impl GGLWEInfos for TensorKeyLayout {
     fn rank_in(&self) -> Rank {
         self.rank
     }
@@ -103,21 +106,21 @@ impl GGLWEInfos for GGLWETensorKeyLayout {
     }
 }
 
-impl<D: DataRef> fmt::Debug for GGLWETensorKey<D> {
+impl<D: DataRef> fmt::Debug for TensorKey<D> {
     fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
         write!(f, "{self}")
     }
 }
 
-impl<D: DataMut> FillUniform for GGLWETensorKey<D> {
+impl<D: DataMut> FillUniform for TensorKey<D> {
     fn fill_uniform(&mut self, log_bound: usize, source: &mut Source) {
         self.keys
             .iter_mut()
-            .for_each(|key: &mut GGLWESwitchingKey<D>| key.fill_uniform(log_bound, source))
+            .for_each(|key: &mut GLWESwitchingKey<D>| key.fill_uniform(log_bound, source))
     }
 }
 
-impl<D: DataRef> fmt::Display for GGLWETensorKey<D> {
+impl<D: DataRef> fmt::Display for TensorKey<D> {
     fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
         writeln!(f, "(GLWETensorKey)",)?;
         for (i, key) in self.keys.iter().enumerate() {
@@ -127,7 +130,7 @@ impl<D: DataRef> fmt::Display for GGLWETensorKey<D> {
     }
 }
 
-impl GGLWETensorKey<Vec<u8>> {
+impl TensorKey<Vec<u8>> {
     pub fn alloc<A>(infos: &A) -> Self
     where
         A: GGLWEInfos,
@@ -148,10 +151,10 @@ impl GGLWETensorKey<Vec<u8>> {
     }
 
     pub fn alloc_with(n: Degree, base2k: Base2K, k: TorusPrecision, rank: Rank, dnum: Dnum, dsize: Dsize) -> Self {
-        let mut keys: Vec<GGLWESwitchingKey<Vec<u8>>> = Vec::new();
+        let mut keys: Vec<GLWESwitchingKey<Vec<u8>>> = Vec::new();
         let pairs: u32 = (((rank.0 + 1) * rank.0) >> 1).max(1);
         (0..pairs).for_each(|_| {
-            keys.push(GGLWESwitchingKey::alloc_with(
+            keys.push(GLWESwitchingKey::alloc_with(
                 n,
                 base2k,
                 k,
@@ -176,7 +179,7 @@ impl GGLWETensorKey<Vec<u8>> {
         let rank_out: usize = infos.rank_out().into();
         let pairs: usize = (((rank_out + 1) * rank_out) >> 1).max(1);
         pairs
-            * GGLWESwitchingKey::alloc_bytes_with(
+            * GLWESwitchingKey::alloc_bytes_with(
                 infos.n(),
                 infos.base2k(),
                 infos.k(),
@@ -189,13 +192,13 @@ impl GGLWETensorKey<Vec<u8>> {
 
     pub fn alloc_bytes_with(n: Degree, base2k: Base2K, k: TorusPrecision, rank: Rank, dnum: Dnum, dsize: Dsize) -> usize {
         let pairs: usize = (((rank.0 + 1) * rank.0) >> 1).max(1) as usize;
-        pairs * GGLWESwitchingKey::alloc_bytes_with(n, base2k, k, Rank(1), rank, dnum, dsize)
+        pairs * GLWESwitchingKey::alloc_bytes_with(n, base2k, k, Rank(1), rank, dnum, dsize)
     }
 }
 
-impl<D: DataMut> GGLWETensorKey<D> {
+impl<D: DataMut> TensorKey<D> {
     // Returns a mutable reference to GLWESwitchingKey_{s}(s[i] * s[j])
-    pub fn at_mut(&mut self, mut i: usize, mut j: usize) -> &mut GGLWESwitchingKey<D> {
+    pub fn at_mut(&mut self, mut i: usize, mut j: usize) -> &mut GLWESwitchingKey<D> {
         if i > j {
             std::mem::swap(&mut i, &mut j);
         };
@@ -204,9 +207,9 @@ impl<D: DataMut> GGLWETensorKey<D> {
     }
 }
 
-impl<D: DataRef> GGLWETensorKey<D> {
+impl<D: DataRef> TensorKey<D> {
     // Returns a reference to GLWESwitchingKey_{s}(s[i] * s[j])
-    pub fn at(&self, mut i: usize, mut j: usize) -> &GGLWESwitchingKey<D> {
+    pub fn at(&self, mut i: usize, mut j: usize) -> &GLWESwitchingKey<D> {
         if i > j {
             std::mem::swap(&mut i, &mut j);
         };
@@ -215,7 +218,7 @@ impl<D: DataRef> GGLWETensorKey<D> {
     }
 }
 
-impl<D: DataMut> ReaderFrom for GGLWETensorKey<D> {
+impl<D: DataMut> ReaderFrom for TensorKey<D> {
     fn read_from<R: std::io::Read>(&mut self, reader: &mut R) -> std::io::Result<()> {
         let len: usize = reader.read_u64::<LittleEndian>()? as usize;
         if self.keys.len() != len {
@@ -231,7 +234,7 @@ impl<D: DataMut> ReaderFrom for GGLWETensorKey<D> {
     }
 }
 
-impl<D: DataRef> WriterTo for GGLWETensorKey<D> {
+impl<D: DataRef> WriterTo for TensorKey<D> {
     fn write_to<W: std::io::Write>(&self, writer: &mut W) -> std::io::Result<()> {
         writer.write_u64::<LittleEndian>(self.keys.len() as u64)?;
         for key in &self.keys {
@@ -240,3 +243,33 @@ impl<D: DataRef> WriterTo for GGLWETensorKey<D> {
         Ok(())
     }
 }
+
+pub trait TensorKeyToRef {
+    fn to_ref(&self) -> TensorKey<&[u8]>;
+}
+
+impl<D: DataRef> TensorKeyToRef for TensorKey<D>
+where
+    GLWESwitchingKey<D>: GLWESwitchingKeyToRef,
+{
+    fn to_ref(&self) -> TensorKey<&[u8]> {
+        TensorKey {
+            keys: self.keys.iter().map(|c| c.to_ref()).collect(),
+        }
+    }
+}
+
+pub trait TensorKeyToMut {
+    fn to_ref(&mut self) -> TensorKey<&mut [u8]>;
+}
+
+impl<D: DataMut> TensorKeyToMut for TensorKey<D>
+where
+    GLWESwitchingKey<D>: GLWESwitchingKeyToMut,
+{
+    fn to_ref(&mut self) -> TensorKey<&mut [u8]> {
+        TensorKey {
+            keys: self.keys.iter_mut().map(|c| c.to_mut()).collect(),
+        }
+    }
+}
diff --git a/poulpy-core/src/layouts/ggsw_ct.rs b/poulpy-core/src/layouts/ggsw_ct.rs
index dc64bce..2d8b271 100644
--- a/poulpy-core/src/layouts/ggsw_ct.rs
+++ b/poulpy-core/src/layouts/ggsw_ct.rs
@@ -64,14 +64,14 @@ impl GGSWInfos for GGSWCiphertextLayout {
 }
 
 #[derive(PartialEq, Eq, Clone)]
-pub struct GGSWCiphertext<D: Data> {
+pub struct GGSW<D: Data> {
     pub(crate) data: MatZnx<D>,
     pub(crate) k: TorusPrecision,
     pub(crate) base2k: Base2K,
     pub(crate) dsize: Dsize,
 }
 
-impl<D: Data> LWEInfos for GGSWCiphertext<D> {
+impl<D: Data> LWEInfos for GGSW<D> {
     fn n(&self) -> Degree {
         Degree(self.data.n() as u32)
     }
@@ -89,13 +89,13 @@ impl<D: Data> LWEInfos for GGSWCiphertext<D> {
     }
 }
 
-impl<D: Data> GLWEInfos for GGSWCiphertext<D> {
+impl<D: Data> GLWEInfos for GGSW<D> {
     fn rank(&self) -> Rank {
         Rank(self.data.cols_out() as u32 - 1)
     }
 }
 
-impl<D: Data> GGSWInfos for GGSWCiphertext<D> {
+impl<D: Data> GGSWInfos for GGSW<D> {
     fn dsize(&self) -> Dsize {
         self.dsize
     }
@@ -112,7 +112,7 @@ pub struct GGSWCiphertextBuilder<D: Data> {
     dsize: Option<Dsize>,
 }
 
-impl<D: Data> GGSWCiphertext<D> {
+impl<D: Data> GGSW<D> {
     #[inline]
     pub fn builder() -> GGSWCiphertextBuilder<D> {
         GGSWCiphertextBuilder {
@@ -182,7 +182,7 @@ impl<D: Data> GGSWCiphertextBuilder<D> {
         self
     }
 
-    pub fn build(self) -> Result<GGSWCiphertext<D>, BuildError> {
+    pub fn build(self) -> Result<GGSW<D>, BuildError> {
         let data: MatZnx<D> = self.data.ok_or(BuildError::MissingData)?;
         let base2k: Base2K = self.base2k.ok_or(BuildError::MissingBase2K)?;
         let k: TorusPrecision = self.k.ok_or(BuildError::MissingK)?;
@@ -212,7 +212,7 @@ impl<D: Data> GGSWCiphertextBuilder<D> {
             return Err(BuildError::ZeroLimbs);
         }
 
-        Ok(GGSWCiphertext {
+        Ok(GGSW {
             data,
             base2k,
             k,
@@ -221,13 +221,13 @@ impl<D: Data> GGSWCiphertextBuilder<D> {
     }
 }
 
-impl<D: DataRef> fmt::Debug for GGSWCiphertext<D> {
+impl<D: DataRef> fmt::Debug for GGSW<D> {
     fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
         write!(f, "{}", self.data)
     }
 }
 
-impl<D: DataRef> fmt::Display for GGSWCiphertext<D> {
+impl<D: DataRef> fmt::Display for GGSW<D> {
     fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
         write!(
             f,
@@ -240,13 +240,13 @@ impl<D: DataRef> fmt::Display for GGSWCiphertext<D> {
     }
 }
 
-impl<D: DataMut> FillUniform for GGSWCiphertext<D> {
+impl<D: DataMut> FillUniform for GGSW<D> {
     fn fill_uniform(&mut self, log_bound: usize, source: &mut Source) {
         self.data.fill_uniform(log_bound, source);
     }
 }
 
-impl<D: DataRef> GGSWCiphertext<D> {
+impl<D: DataRef> GGSW<D> {
     pub fn at(&self, row: usize, col: usize) -> GLWECiphertext<&[u8]> {
         GLWECiphertext::builder()
             .data(self.data.at(row, col))
@@ -257,7 +257,7 @@ impl<D: DataRef> GGSWCiphertext<D> {
     }
 }
 
-impl<D: DataMut> GGSWCiphertext<D> {
+impl<D: DataMut> GGSW<D> {
     pub fn at_mut(&mut self, row: usize, col: usize) -> GLWECiphertext<&mut [u8]> {
         GLWECiphertext::builder()
             .base2k(self.base2k())
@@ -268,7 +268,7 @@ impl<D: DataMut> GGSWCiphertext<D> {
     }
 }
 
-impl GGSWCiphertext<Vec<u8>> {
+impl GGSW<Vec<u8>> {
     pub fn alloc<A>(infos: &A) -> Self
     where
         A: GGSWInfos,
@@ -353,7 +353,7 @@ impl GGSWCiphertext<Vec<u8>> {
 
 use byteorder::{LittleEndian, ReadBytesExt, WriteBytesExt};
 
-impl<D: DataMut> ReaderFrom for GGSWCiphertext<D> {
+impl<D: DataMut> ReaderFrom for GGSW<D> {
     fn read_from<R: std::io::Read>(&mut self, reader: &mut R) -> std::io::Result<()> {
         self.k = TorusPrecision(reader.read_u32::<LittleEndian>()?);
         self.base2k = Base2K(reader.read_u32::<LittleEndian>()?);
@@ -362,7 +362,7 @@ impl<D: DataMut> ReaderFrom for GGSWCiphertext<D> {
     }
 }
 
-impl<D: DataRef> WriterTo for GGSWCiphertext<D> {
+impl<D: DataRef> WriterTo for GGSW<D> {
     fn write_to<W: std::io::Write>(&self, writer: &mut W) -> std::io::Result<()> {
         writer.write_u32::<LittleEndian>(self.k.into())?;
         writer.write_u32::<LittleEndian>(self.base2k.into())?;
@@ -371,34 +371,32 @@ impl<D: DataRef> WriterTo for GGSWCiphertext<D> {
     }
 }
 
-pub trait GGSWCiphertextToMut {
-    fn to_mut(&mut self) -> GGSWCiphertext<&mut [u8]>;
+pub trait GGSWToMut {
+    fn to_mut(&mut self) -> GGSW<&mut [u8]>;
 }
 
-impl<D: DataMut> GGSWCiphertextToMut for GGSWCiphertext<D> {
-    fn to_mut(&mut self) -> GGSWCiphertext<&mut [u8]> {
-        GGSWCiphertext::builder()
-            .base2k(self.base2k())
-            .dsize(self.dsize())
-            .k(self.k())
-            .data(self.data.to_mut())
-            .build()
-            .unwrap()
+impl<D: DataMut> GGSWToMut for GGSW<D> {
+    fn to_mut(&mut self) -> GGSW<&mut [u8]> {
+        GGSW {
+            dsize: self.dsize,
+            k: self.k,
+            base2k: self.base2k,
+            data: self.data.to_mut(),
+        }
     }
 }
 
-pub trait GGSWCiphertextToRef {
-    fn to_ref(&self) -> GGSWCiphertext<&[u8]>;
+pub trait GGSWToRef {
+    fn to_ref(&self) -> GGSW<&[u8]>;
 }
 
-impl<D: DataRef> GGSWCiphertextToRef for GGSWCiphertext<D> {
-    fn to_ref(&self) -> GGSWCiphertext<&[u8]> {
-        GGSWCiphertext::builder()
-            .base2k(self.base2k())
-            .dsize(self.dsize())
-            .k(self.k())
-            .data(self.data.to_ref())
-            .build()
-            .unwrap()
+impl<D: DataRef> GGSWToRef for GGSW<D> {
+    fn to_ref(&self) -> GGSW<&[u8]> {
+        GGSW {
+            dsize: self.dsize,
+            k: self.k,
+            base2k: self.base2k,
+            data: self.data.to_ref(),
+        }
     }
 }
diff --git a/poulpy-core/src/layouts/glwe_ct.rs b/poulpy-core/src/layouts/glwe_ct.rs
index 23b6ef9..c8cfa4f 100644
--- a/poulpy-core/src/layouts/glwe_ct.rs
+++ b/poulpy-core/src/layouts/glwe_ct.rs
@@ -253,36 +253,6 @@ impl GLWECiphertext<Vec<u8>> {
     }
 }
 
-pub trait GLWECiphertextToRef {
-    fn to_ref(&self) -> GLWECiphertext<&[u8]>;
-}
-
-impl<D: DataRef> GLWECiphertextToRef for GLWECiphertext<D> {
-    fn to_ref(&self) -> GLWECiphertext<&[u8]> {
-        GLWECiphertext::builder()
-            .k(self.k())
-            .base2k(self.base2k())
-            .data(self.data.to_ref())
-            .build()
-            .unwrap()
-    }
-}
-
-pub trait GLWECiphertextToMut {
-    fn to_mut(&mut self) -> GLWECiphertext<&mut [u8]>;
-}
-
-impl<D: DataMut> GLWECiphertextToMut for GLWECiphertext<D> {
-    fn to_mut(&mut self) -> GLWECiphertext<&mut [u8]> {
-        GLWECiphertext::builder()
-            .k(self.k())
-            .base2k(self.base2k())
-            .data(self.data.to_mut())
-            .build()
-            .unwrap()
-    }
-}
-
 impl<D: DataMut> ReaderFrom for GLWECiphertext<D> {
     fn read_from<R: std::io::Read>(&mut self, reader: &mut R) -> std::io::Result<()> {
         self.k = TorusPrecision(reader.read_u32::<LittleEndian>()?);
@@ -298,3 +268,31 @@ impl<D: DataRef> WriterTo for GLWECiphertext<D> {
         self.data.write_to(writer)
     }
 }
+
+pub trait GLWECiphertextToRef {
+    fn to_ref(&self) -> GLWECiphertext<&[u8]>;
+}
+
+impl<D: DataRef> GLWECiphertextToRef for GLWECiphertext<D> {
+    fn to_ref(&self) -> GLWECiphertext<&[u8]> {
+        GLWECiphertext {
+            k: self.k,
+            base2k: self.base2k,
+            data: self.data.to_ref(),
+        }
+    }
+}
+
+pub trait GLWECiphertextToMut {
+    fn to_mut(&mut self) -> GLWECiphertext<&mut [u8]>;
+}
+
+impl<D: DataMut> GLWECiphertextToMut for GLWECiphertext<D> {
+    fn to_mut(&mut self) -> GLWECiphertext<&mut [u8]> {
+        GLWECiphertext {
+            k: self.k,
+            base2k: self.base2k,
+            data: self.data.to_mut(),
+        }
+    }
+}
diff --git a/poulpy-core/src/layouts/glwe_to_lwe_ksk.rs b/poulpy-core/src/layouts/glwe_to_lwe_ksk.rs
index f227c9c..ec5a4a3 100644
--- a/poulpy-core/src/layouts/glwe_to_lwe_ksk.rs
+++ b/poulpy-core/src/layouts/glwe_to_lwe_ksk.rs
@@ -3,7 +3,10 @@ use poulpy_hal::{
     source::Source,
 };
 
-use crate::layouts::{Base2K, Degree, Dnum, Dsize, GGLWEInfos, GGLWESwitchingKey, GLWEInfos, LWEInfos, Rank, TorusPrecision};
+use crate::layouts::{
+    Base2K, Degree, Dnum, Dsize, GGLWEInfos, GLWEInfos, GLWESwitchingKey, GLWESwitchingKeyToMut, GLWESwitchingKeyToRef, LWEInfos,
+    Rank, TorusPrecision,
+};
 
 use std::fmt;
 
@@ -56,9 +59,9 @@ impl GGLWEInfos for GLWEToLWEKeyLayout {
 
 /// A special [GLWESwitchingKey] required to for the conversion from [GLWECiphertext] to [LWECiphertext].
 #[derive(PartialEq, Eq, Clone)]
-pub struct GLWEToLWEKey<D: Data>(pub(crate) GGLWESwitchingKey<D>);
+pub struct GLWEToLWESwitchingKey<D: Data>(pub(crate) GLWESwitchingKey<D>);
 
-impl<D: Data> LWEInfos for GLWEToLWEKey<D> {
+impl<D: Data> LWEInfos for GLWEToLWESwitchingKey<D> {
     fn base2k(&self) -> Base2K {
         self.0.base2k()
     }
@@ -76,12 +79,12 @@ impl<D: Data> LWEInfos for GLWEToLWEKey<D> {
     }
 }
 
-impl<D: Data> GLWEInfos for GLWEToLWEKey<D> {
+impl<D: Data> GLWEInfos for GLWEToLWESwitchingKey<D> {
     fn rank(&self) -> Rank {
         self.rank_out()
     }
 }
-impl<D: Data> GGLWEInfos for GLWEToLWEKey<D> {
+impl<D: Data> GGLWEInfos for GLWEToLWESwitchingKey<D> {
     fn rank_in(&self) -> Rank {
         self.0.rank_in()
     }
@@ -99,37 +102,37 @@ impl<D: Data> GGLWEInfos for GLWEToLWEKey<D> {
     }
 }
 
-impl<D: DataRef> fmt::Debug for GLWEToLWEKey<D> {
+impl<D: DataRef> fmt::Debug for GLWEToLWESwitchingKey<D> {
     fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
         write!(f, "{self}")
     }
 }
 
-impl<D: DataMut> FillUniform for GLWEToLWEKey<D> {
+impl<D: DataMut> FillUniform for GLWEToLWESwitchingKey<D> {
     fn fill_uniform(&mut self, log_bound: usize, source: &mut Source) {
         self.0.fill_uniform(log_bound, source);
     }
 }
 
-impl<D: DataRef> fmt::Display for GLWEToLWEKey<D> {
+impl<D: DataRef> fmt::Display for GLWEToLWESwitchingKey<D> {
     fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
         write!(f, "(GLWEToLWESwitchingKey) {}", self.0)
     }
 }
 
-impl<D: DataMut> ReaderFrom for GLWEToLWEKey<D> {
+impl<D: DataMut> ReaderFrom for GLWEToLWESwitchingKey<D> {
     fn read_from<R: std::io::Read>(&mut self, reader: &mut R) -> std::io::Result<()> {
         self.0.read_from(reader)
     }
 }
 
-impl<D: DataRef> WriterTo for GLWEToLWEKey<D> {
+impl<D: DataRef> WriterTo for GLWEToLWESwitchingKey<D> {
     fn write_to<W: std::io::Write>(&self, writer: &mut W) -> std::io::Result<()> {
         self.0.write_to(writer)
     }
 }
 
-impl GLWEToLWEKey<Vec<u8>> {
+impl GLWEToLWESwitchingKey<Vec<u8>> {
     pub fn alloc<A>(infos: &A) -> Self
     where
         A: GGLWEInfos,
@@ -144,11 +147,11 @@ impl GLWEToLWEKey<Vec<u8>> {
             1,
             "dsize > 1 is not supported for GLWEToLWESwitchingKey"
         );
-        Self(GGLWESwitchingKey::alloc(infos))
+        Self(GLWESwitchingKey::alloc(infos))
     }
 
     pub fn alloc_with(n: Degree, base2k: Base2K, k: TorusPrecision, rank_in: Rank, dnum: Dnum) -> Self {
-        Self(GGLWESwitchingKey::alloc_with(
+        Self(GLWESwitchingKey::alloc_with(
             n,
             base2k,
             k,
@@ -173,10 +176,36 @@ impl GLWEToLWEKey<Vec<u8>> {
             1,
             "dsize > 1 is not supported for GLWEToLWESwitchingKey"
         );
-        GGLWESwitchingKey::alloc_bytes(infos)
+        GLWESwitchingKey::alloc_bytes(infos)
     }
 
     pub fn alloc_bytes_with(n: Degree, base2k: Base2K, k: TorusPrecision, rank_in: Rank, dnum: Dnum) -> usize {
-        GGLWESwitchingKey::alloc_bytes_with(n, base2k, k, rank_in, Rank(1), dnum, Dsize(1))
+        GLWESwitchingKey::alloc_bytes_with(n, base2k, k, rank_in, Rank(1), dnum, Dsize(1))
+    }
+}
+
+pub trait GLWEToLWESwitchingKeyToRef {
+    fn to_ref(&self) -> GLWEToLWESwitchingKey<&[u8]>;
+}
+
+impl<D: DataRef> GLWEToLWESwitchingKeyToRef for GLWEToLWESwitchingKey<D>
+where
+    GLWESwitchingKey<D>: GLWESwitchingKeyToRef,
+{
+    fn to_ref(&self) -> GLWEToLWESwitchingKey<&[u8]> {
+        GLWEToLWESwitchingKey(self.0.to_ref())
+    }
+}
+
+pub trait GLWEToLWESwitchingKeyToMut {
+    fn to_mut(&mut self) -> GLWEToLWESwitchingKey<&mut [u8]>;
+}
+
+impl<D: DataMut> GLWEToLWESwitchingKeyToMut for GLWEToLWESwitchingKey<D>
+where
+    GLWESwitchingKey<D>: GLWESwitchingKeyToMut,
+{
+    fn to_mut(&mut self) -> GLWEToLWESwitchingKey<&mut [u8]> {
+        GLWEToLWESwitchingKey(self.0.to_mut())
     }
 }
diff --git a/poulpy-core/src/layouts/lwe_ct.rs b/poulpy-core/src/layouts/lwe_ct.rs
index 1560ea4..ce5b13a 100644
--- a/poulpy-core/src/layouts/lwe_ct.rs
+++ b/poulpy-core/src/layouts/lwe_ct.rs
@@ -27,6 +27,11 @@ pub trait LWEInfos {
     }
 }
 
+pub trait SetLWEInfos {
+    fn set_k(&mut self, k: TorusPrecision);
+    fn set_base2k(&mut self, base2k: Base2K);
+}
+
 #[derive(PartialEq, Eq, Copy, Clone, Debug)]
 pub struct LWECiphertextLayout {
     pub n: Degree,
@@ -47,7 +52,6 @@ impl LWEInfos for LWECiphertextLayout {
         self.n
     }
 }
-
 #[derive(PartialEq, Eq, Clone)]
 pub struct LWECiphertext<D: Data> {
     pub(crate) data: Zn<D>,
@@ -72,6 +76,16 @@ impl<D: Data> LWEInfos for LWECiphertext<D> {
     }
 }
 
+impl<D: Data> SetLWEInfos for LWECiphertext<D> {
+    fn set_base2k(&mut self, base2k: Base2K) {
+        self.base2k = base2k
+    }
+
+    fn set_k(&mut self, k: TorusPrecision) {
+        self.k = k
+    }
+}
+
 impl<D: DataRef> LWECiphertext<D> {
     pub fn data(&self) -> &Zn<D> {
         &self.data
@@ -221,12 +235,11 @@ pub trait LWECiphertextToRef {
 
 impl<D: DataRef> LWECiphertextToRef for LWECiphertext<D> {
     fn to_ref(&self) -> LWECiphertext<&[u8]> {
-        LWECiphertext::builder()
-            .base2k(self.base2k())
-            .k(self.k())
-            .data(self.data.to_ref())
-            .build()
-            .unwrap()
+        LWECiphertext {
+            k: self.k,
+            base2k: self.base2k,
+            data: self.data.to_ref(),
+        }
     }
 }
 
@@ -237,12 +250,11 @@ pub trait LWECiphertextToMut {
 
 impl<D: DataMut> LWECiphertextToMut for LWECiphertext<D> {
     fn to_mut(&mut self) -> LWECiphertext<&mut [u8]> {
-        LWECiphertext::builder()
-            .base2k(self.base2k())
-            .k(self.k())
-            .data(self.data.to_mut())
-            .build()
-            .unwrap()
+        LWECiphertext {
+            k: self.k,
+            base2k: self.base2k,
+            data: self.data.to_mut(),
+        }
     }
 }
 
diff --git a/poulpy-core/src/layouts/lwe_ksk.rs b/poulpy-core/src/layouts/lwe_ksk.rs
index 314322c..8f4a2ed 100644
--- a/poulpy-core/src/layouts/lwe_ksk.rs
+++ b/poulpy-core/src/layouts/lwe_ksk.rs
@@ -5,7 +5,10 @@ use poulpy_hal::{
     source::Source,
 };
 
-use crate::layouts::{Base2K, Degree, Dnum, Dsize, GGLWEInfos, GGLWESwitchingKey, GLWEInfos, LWEInfos, Rank, TorusPrecision};
+use crate::layouts::{
+    Base2K, Degree, Dnum, Dsize, GGLWEInfos, GLWEInfos, GLWESwitchingKey, GLWESwitchingKeyToMut, GLWESwitchingKeyToRef, LWEInfos,
+    Rank, TorusPrecision,
+};
 
 #[derive(PartialEq, Eq, Copy, Clone, Debug)]
 pub struct LWESwitchingKeyLayout {
@@ -54,7 +57,7 @@ impl GGLWEInfos for LWESwitchingKeyLayout {
 }
 
 #[derive(PartialEq, Eq, Clone)]
-pub struct LWESwitchingKey<D: Data>(pub(crate) GGLWESwitchingKey<D>);
+pub struct LWESwitchingKey<D: Data>(pub(crate) GLWESwitchingKey<D>);
 
 impl<D: Data> LWEInfos for LWESwitchingKey<D> {
     fn base2k(&self) -> Base2K {
@@ -118,11 +121,11 @@ impl LWESwitchingKey<Vec<u8>> {
             1,
             "rank_out > 1 is not supported for LWESwitchingKey"
         );
-        Self(GGLWESwitchingKey::alloc(infos))
+        Self(GLWESwitchingKey::alloc(infos))
     }
 
     pub fn alloc_with(n: Degree, base2k: Base2K, k: TorusPrecision, dnum: Dnum) -> Self {
-        Self(GGLWESwitchingKey::alloc_with(
+        Self(GLWESwitchingKey::alloc_with(
             n,
             base2k,
             k,
@@ -152,11 +155,11 @@ impl LWESwitchingKey<Vec<u8>> {
             1,
             "rank_out > 1 is not supported for LWESwitchingKey"
         );
-        GGLWESwitchingKey::alloc_bytes(infos)
+        GLWESwitchingKey::alloc_bytes(infos)
     }
 
     pub fn alloc_bytes_with(n: Degree, base2k: Base2K, k: TorusPrecision, dnum: Dnum) -> usize {
-        GGLWESwitchingKey::alloc_bytes_with(n, base2k, k, Rank(1), Rank(1), dnum, Dsize(1))
+        GLWESwitchingKey::alloc_bytes_with(n, base2k, k, Rank(1), Rank(1), dnum, Dsize(1))
     }
 }
 
@@ -189,3 +192,29 @@ impl<D: DataRef> WriterTo for LWESwitchingKey<D> {
         self.0.write_to(writer)
     }
 }
+
+pub trait LWEToLWEKeyToRef {
+    fn to_ref(&self) -> LWESwitchingKey<&[u8]>;
+}
+
+impl<D: DataRef> LWEToLWEKeyToRef for LWESwitchingKey<D>
+where
+    GLWESwitchingKey<D>: GLWESwitchingKeyToRef,
+{
+    fn to_ref(&self) -> LWESwitchingKey<&[u8]> {
+        LWESwitchingKey(self.0.to_ref())
+    }
+}
+
+pub trait LWEToLWEKeyToMut {
+    fn to_mut(&mut self) -> LWESwitchingKey<&mut [u8]>;
+}
+
+impl<D: DataMut> LWEToLWEKeyToMut for LWESwitchingKey<D>
+where
+    GLWESwitchingKey<D>: GLWESwitchingKeyToMut,
+{
+    fn to_mut(&mut self) -> LWESwitchingKey<&mut [u8]> {
+        LWESwitchingKey(self.0.to_mut())
+    }
+}
diff --git a/poulpy-core/src/layouts/lwe_sk.rs b/poulpy-core/src/layouts/lwe_sk.rs
index a5b7d4e..f2ba869 100644
--- a/poulpy-core/src/layouts/lwe_sk.rs
+++ b/poulpy-core/src/layouts/lwe_sk.rs
@@ -1,5 +1,5 @@
 use poulpy_hal::{
-    layouts::{Data, DataMut, DataRef, ScalarZnx, ZnxInfos, ZnxView, ZnxZero},
+    layouts::{Data, DataMut, DataRef, ScalarZnx, ScalarZnxToMut, ScalarZnxToRef, ZnxInfos, ZnxView, ZnxZero},
     source::Source,
 };
 
@@ -84,3 +84,29 @@ impl<D: DataMut> LWESecret<D> {
         self.dist = Distribution::ZERO;
     }
 }
+
+pub trait LWESecretToRef {
+    fn to_ref(&self) -> LWESecret<&[u8]>;
+}
+
+impl<D: DataRef> LWESecretToRef for LWESecret<D> {
+    fn to_ref(&self) -> LWESecret<&[u8]> {
+        LWESecret {
+            dist: self.dist,
+            data: self.data.to_ref(),
+        }
+    }
+}
+
+pub trait LWESecretToMut {
+    fn to_mut(&mut self) -> LWESecret<&mut [u8]>;
+}
+
+impl<D: DataMut> LWESecretToMut for LWESecret<D> {
+    fn to_mut(&mut self) -> LWESecret<&mut [u8]> {
+        LWESecret {
+            dist: self.dist,
+            data: self.data.to_mut(),
+        }
+    }
+}
diff --git a/poulpy-core/src/layouts/lwe_to_glwe_ksk.rs b/poulpy-core/src/layouts/lwe_to_glwe_ksk.rs
index b3ba74b..947e79d 100644
--- a/poulpy-core/src/layouts/lwe_to_glwe_ksk.rs
+++ b/poulpy-core/src/layouts/lwe_to_glwe_ksk.rs
@@ -5,7 +5,10 @@ use poulpy_hal::{
     source::Source,
 };
 
-use crate::layouts::{Base2K, Degree, Dnum, Dsize, GGLWEInfos, GGLWESwitchingKey, GLWEInfos, LWEInfos, Rank, TorusPrecision};
+use crate::layouts::{
+    Base2K, Degree, Dnum, Dsize, GGLWEInfos, GLWEInfos, GLWESwitchingKey, GLWESwitchingKeyToMut, GLWESwitchingKeyToRef, LWEInfos,
+    Rank, TorusPrecision,
+};
 
 #[derive(PartialEq, Eq, Copy, Clone, Debug)]
 pub struct LWEToGLWESwitchingKeyLayout {
@@ -55,7 +58,7 @@ impl GGLWEInfos for LWEToGLWESwitchingKeyLayout {
 }
 
 #[derive(PartialEq, Eq, Clone)]
-pub struct LWEToGLWESwitchingKey<D: Data>(pub(crate) GGLWESwitchingKey<D>);
+pub struct LWEToGLWESwitchingKey<D: Data>(pub(crate) GLWESwitchingKey<D>);
 
 impl<D: Data> LWEInfos for LWEToGLWESwitchingKey<D> {
     fn base2k(&self) -> Base2K {
@@ -143,11 +146,11 @@ impl LWEToGLWESwitchingKey<Vec<u8>> {
             1,
             "dsize > 1 is not supported for LWEToGLWESwitchingKey"
         );
-        Self(GGLWESwitchingKey::alloc(infos))
+        Self(GLWESwitchingKey::alloc(infos))
     }
 
     pub fn alloc_with(n: Degree, base2k: Base2K, k: TorusPrecision, rank_out: Rank, dnum: Dnum) -> Self {
-        Self(GGLWESwitchingKey::alloc_with(
+        Self(GLWESwitchingKey::alloc_with(
             n,
             base2k,
             k,
@@ -172,10 +175,36 @@ impl LWEToGLWESwitchingKey<Vec<u8>> {
             1,
             "dsize > 1 is not supported for LWEToGLWESwitchingKey"
         );
-        GGLWESwitchingKey::alloc_bytes(infos)
+        GLWESwitchingKey::alloc_bytes(infos)
     }
 
     pub fn alloc_bytes_with(n: Degree, base2k: Base2K, k: TorusPrecision, dnum: Dnum, rank_out: Rank) -> usize {
-        GGLWESwitchingKey::alloc_bytes_with(n, base2k, k, Rank(1), rank_out, dnum, Dsize(1))
+        GLWESwitchingKey::alloc_bytes_with(n, base2k, k, Rank(1), rank_out, dnum, Dsize(1))
+    }
+}
+
+pub trait LWEToGLWESwitchingKeyToRef {
+    fn to_ref(&self) -> LWEToGLWESwitchingKey<&[u8]>;
+}
+
+impl<D: DataRef> LWEToGLWESwitchingKeyToRef for LWEToGLWESwitchingKey<D>
+where
+    GLWESwitchingKey<D>: GLWESwitchingKeyToRef,
+{
+    fn to_ref(&self) -> LWEToGLWESwitchingKey<&[u8]> {
+        LWEToGLWESwitchingKey(self.0.to_ref())
+    }
+}
+
+pub trait LWEToGLWESwitchingKeyToMut {
+    fn to_mut(&mut self) -> LWEToGLWESwitchingKey<&mut [u8]>;
+}
+
+impl<D: DataMut> LWEToGLWESwitchingKeyToMut for LWEToGLWESwitchingKey<D>
+where
+    GLWESwitchingKey<D>: GLWESwitchingKeyToMut,
+{
+    fn to_mut(&mut self) -> LWEToGLWESwitchingKey<&mut [u8]> {
+        LWEToGLWESwitchingKey(self.0.to_mut())
     }
 }
diff --git a/poulpy-core/src/layouts/mod.rs b/poulpy-core/src/layouts/mod.rs
index 2b13751..775fb6f 100644
--- a/poulpy-core/src/layouts/mod.rs
+++ b/poulpy-core/src/layouts/mod.rs
@@ -47,6 +47,7 @@ pub enum BuildError {
     ZeroLimbs,
     ZeroRank,
     ZeroDigits,
+    VecZnxColsNotOne,
 }
 
 /// Newtype over `u32` with arithmetic and comparisons against same type and `u32`.
diff --git a/poulpy-core/src/layouts/prepared/gglwe_atk.rs b/poulpy-core/src/layouts/prepared/gglwe_atk.rs
index 594aa0a..2eda4e1 100644
--- a/poulpy-core/src/layouts/prepared/gglwe_atk.rs
+++ b/poulpy-core/src/layouts/prepared/gglwe_atk.rs
@@ -4,23 +4,25 @@ use poulpy_hal::{
 };
 
 use crate::layouts::{
-    Base2K, Degree, Dnum, Dsize, GGLWEAutomorphismKey, GGLWEInfos, GLWEInfos, LWEInfos, Rank, TorusPrecision,
-    prepared::{GGLWESwitchingKeyPrepared, Prepare, PrepareAlloc, PrepareScratchSpace},
+    AutomorphismKeyToRef, Base2K, Degree, Dnum, Dsize, GGLWEInfos, GLWEInfos, LWEInfos, Rank, TorusPrecision,
+    prepared::{
+        GLWESwitchingKeyPrepareTmpBytes, GLWESwitchingKeyPrepared, GLWESwitchingKeyPreparedToMut, GLWESwitchingKeyPreparedToRef,
+    },
 };
 
 #[derive(PartialEq, Eq)]
-pub struct GGLWEAutomorphismKeyPrepared<D: Data, B: Backend> {
-    pub(crate) key: GGLWESwitchingKeyPrepared<D, B>,
+pub struct AutomorphismKeyPrepared<D: Data, B: Backend> {
+    pub(crate) key: GLWESwitchingKeyPrepared<D, B>,
     pub(crate) p: i64,
 }
 
-impl<D: Data, B: Backend> GGLWEAutomorphismKeyPrepared<D, B> {
+impl<D: Data, B: Backend> AutomorphismKeyPrepared<D, B> {
     pub fn p(&self) -> i64 {
         self.p
     }
 }
 
-impl<D: Data, B: Backend> LWEInfos for GGLWEAutomorphismKeyPrepared<D, B> {
+impl<D: Data, B: Backend> LWEInfos for AutomorphismKeyPrepared<D, B> {
     fn n(&self) -> Degree {
         self.key.n()
     }
@@ -38,13 +40,23 @@ impl<D: Data, B: Backend> LWEInfos for GGLWEAutomorphismKeyPrepared<D, B> {
     }
 }
 
-impl<D: Data, B: Backend> GLWEInfos for GGLWEAutomorphismKeyPrepared<D, B> {
+pub trait SetP {
+    fn set_p(&mut self, p: i64);
+}
+
+impl<D: Data, B: Backend> SetP for AutomorphismKeyPrepared<D, B> {
+    fn set_p(&mut self, p: i64) {
+        self.p = p
+    }
+}
+
+impl<D: Data, B: Backend> GLWEInfos for AutomorphismKeyPrepared<D, B> {
     fn rank(&self) -> Rank {
         self.rank_out()
     }
 }
 
-impl<D: Data, B: Backend> GGLWEInfos for GGLWEAutomorphismKeyPrepared<D, B> {
+impl<D: Data, B: Backend> GGLWEInfos for AutomorphismKeyPrepared<D, B> {
     fn rank_in(&self) -> Rank {
         self.key.rank_in()
     }
@@ -62,7 +74,7 @@ impl<D: Data, B: Backend> GGLWEInfos for GGLWEAutomorphismKeyPrepared<D, B> {
     }
 }
 
-impl<B: Backend> GGLWEAutomorphismKeyPrepared<Vec<u8>, B> {
+impl<B: Backend> AutomorphismKeyPrepared<Vec<u8>, B> {
     pub fn alloc<A>(module: &Module<B>, infos: &A) -> Self
     where
         A: GGLWEInfos,
@@ -73,8 +85,8 @@ impl<B: Backend> GGLWEAutomorphismKeyPrepared<Vec<u8>, B> {
             infos.rank_out(),
             "rank_in != rank_out is not supported for GGLWEAutomorphismKeyPrepared"
         );
-        GGLWEAutomorphismKeyPrepared::<Vec<u8>, B> {
-            key: GGLWESwitchingKeyPrepared::alloc(module, infos),
+        AutomorphismKeyPrepared::<Vec<u8>, B> {
+            key: GLWESwitchingKeyPrepared::alloc(module, infos),
             p: 0,
         }
     }
@@ -83,8 +95,8 @@ impl<B: Backend> GGLWEAutomorphismKeyPrepared<Vec<u8>, B> {
     where
         Module<B>: VmpPMatAlloc<B>,
     {
-        GGLWEAutomorphismKeyPrepared {
-            key: GGLWESwitchingKeyPrepared::alloc_with(module, base2k, k, rank, rank, dnum, dsize),
+        AutomorphismKeyPrepared {
+            key: GLWESwitchingKeyPrepared::alloc_with(module, base2k, k, rank, rank, dnum, dsize),
             p: 0,
         }
     }
@@ -99,43 +111,104 @@ impl<B: Backend> GGLWEAutomorphismKeyPrepared<Vec<u8>, B> {
             infos.rank_out(),
             "rank_in != rank_out is not supported for GGLWEAutomorphismKeyPrepared"
         );
-        GGLWESwitchingKeyPrepared::alloc_bytes(module, infos)
+        GLWESwitchingKeyPrepared::alloc_bytes(module, infos)
     }
 
     pub fn alloc_bytes_with(module: &Module<B>, base2k: Base2K, k: TorusPrecision, rank: Rank, dnum: Dnum, dsize: Dsize) -> usize
     where
         Module<B>: VmpPMatAllocBytes,
     {
-        GGLWESwitchingKeyPrepared::alloc_bytes_with(module, base2k, k, rank, rank, dnum, dsize)
+        GLWESwitchingKeyPrepared::alloc_bytes_with(module, base2k, k, rank, rank, dnum, dsize)
     }
 }
 
-impl<B: Backend, A: GGLWEInfos> PrepareScratchSpace<B, A> for GGLWEAutomorphismKeyPrepared<Vec<u8>, B>
+pub trait AutomorphismKeyPrepareTmpBytes {
+    fn automorphism_key_prepare_tmp_bytes<A>(&self, infos: &A)
+    where
+        A: GGLWEInfos;
+}
+
+impl<B: Backend> AutomorphismKeyPrepareTmpBytes for Module<B>
 where
-    GGLWESwitchingKeyPrepared<Vec<u8>, B>: PrepareScratchSpace<B, A>,
+    Module<B>: GLWESwitchingKeyPrepareTmpBytes,
 {
-    fn prepare_scratch_space(module: &Module<B>, infos: &A) -> usize {
-        GGLWESwitchingKeyPrepared::prepare_scratch_space(module, infos)
+    fn automorphism_key_prepare_tmp_bytes<A>(&self, infos: &A)
+    where
+        A: GGLWEInfos,
+    {
+        self.glwe_switching_key_prepare_tmp_bytes(infos)
     }
 }
 
-impl<D: DataMut, DR: DataRef, B: Backend> Prepare<B, GGLWEAutomorphismKey<DR>> for GGLWEAutomorphismKeyPrepared<D, B>
-where
-    Module<B>: VmpPrepare<B>,
-{
-    fn prepare(&mut self, module: &Module<B>, other: &GGLWEAutomorphismKey<DR>, scratch: &mut Scratch<B>) {
-        self.key.prepare(module, &other.key, scratch);
+impl<D: DataRef, B: Backend> AutomorphismKeyPrepared<D, B> {
+    pub fn prepare_tmp_bytes(&self, module: &Module<B>) -> usize
+    where
+        Module<B>: AutomorphismKeyPrepareTmpBytes,
+    {
+        module.automorphism_key_prepare_tmp_bytes(self);
+    }
+}
+
+pub trait AutomorphismKeyPrepare<B: Backend> {
+    fn automorphism_key_prepare<R, O>(&self, res: &R, other: &O, scratch: &Scratch<B>)
+    where
+        R: AutomorphismKeyPreparedToMut<B>,
+        O: AutomorphismKeyToRef;
+}
+
+impl<B: Backend> AutomorphismKeyPrepare<B> for Module<B> {
+    fn automorphism_key_prepare<R, O>(&self, res: &R, other: &O, scratch: &Scratch<B>)
+    where
+        R: AutomorphismKeyPreparedToMut<B>,
+        O: AutomorphismKeyToRef,
+    {
+        self.key.prepare(self, &other.to_ref().key, scratch);
         self.p = other.p;
     }
 }
 
-impl<D: DataRef, B: Backend> PrepareAlloc<B, GGLWEAutomorphismKeyPrepared<Vec<u8>, B>> for GGLWEAutomorphismKey<D>
+pub trait AutomorphismKeyPrepareAlloc<B: Backend> {
+    fn automorphism_key_prepare_alloc<O>(&self, other: &O, scratch: &mut Scratch<B>) -> AutomorphismKeyPrepared<Vec<u8>, B>
+    where
+        O: AutomorphismKeyToRef;
+}
+
+impl<B: Backend> AutomorphismKeyPrepareAlloc<B> for Module<B>
 where
     Module<B>: VmpPMatAlloc<B> + VmpPrepare<B>,
 {
-    fn prepare_alloc(&self, module: &Module<B>, scratch: &mut Scratch<B>) -> GGLWEAutomorphismKeyPrepared<Vec<u8>, B> {
-        let mut atk_prepared: GGLWEAutomorphismKeyPrepared<Vec<u8>, B> = GGLWEAutomorphismKeyPrepared::alloc(module, self);
-        atk_prepared.prepare(module, self, scratch);
+    fn automorphism_key_prepare_alloc<O>(&self, other: &O, scratch: &mut Scratch<B>) -> AutomorphismKeyPrepared<Vec<u8>, B>
+    where
+        O: AutomorphismKeyToRef,
+    {
+        let mut atk_prepared: AutomorphismKeyPrepared<Vec<u8>, B> = AutomorphismKeyPrepared::alloc(self, &other.to_ref());
+        atk_prepared.prepare(self, &other.to_ref(), scratch);
         atk_prepared
     }
 }
+
+pub trait AutomorphismKeyPreparedToMut<B: Backend> {
+    fn to_mut(&mut self) -> AutomorphismKeyPrepared<&mut [u8], B>;
+}
+
+impl<D: DataMut, B: Backend> AutomorphismKeyPreparedToMut<B> for AutomorphismKeyPrepared<D, B> {
+    fn to_mut(&mut self) -> AutomorphismKeyPrepared<&mut [u8], B> {
+        AutomorphismKeyPrepared {
+            p: self.p,
+            key: self.key.to_mut(),
+        }
+    }
+}
+
+pub trait AutomorphismKeyPreparedToRef<B: Backend> {
+    fn to_ref(&self) -> AutomorphismKeyPrepared<&[u8], B>;
+}
+
+impl<D: DataRef, B: Backend> AutomorphismKeyPreparedToRef<B> for AutomorphismKeyPrepared<D, B> {
+    fn to_ref(&self) -> AutomorphismKeyPrepared<&[u8], B> {
+        AutomorphismKeyPrepared {
+            p: self.p,
+            key: self.key.to_ref(),
+        }
+    }
+}
diff --git a/poulpy-core/src/layouts/prepared/gglwe_ct.rs b/poulpy-core/src/layouts/prepared/gglwe_ct.rs
index 4f22e6e..a19fd92 100644
--- a/poulpy-core/src/layouts/prepared/gglwe_ct.rs
+++ b/poulpy-core/src/layouts/prepared/gglwe_ct.rs
@@ -1,23 +1,22 @@
 use poulpy_hal::{
     api::{VmpPMatAlloc, VmpPMatAllocBytes, VmpPrepare, VmpPrepareTmpBytes},
-    layouts::{Backend, Data, DataMut, DataRef, Module, Scratch, VmpPMat, ZnxInfos},
+    layouts::{Backend, Data, DataMut, DataRef, Module, Scratch, VmpPMat, VmpPMatToMut, VmpPMatToRef, ZnxInfos},
     oep::VmpPMatAllocBytesImpl,
 };
 
 use crate::layouts::{
-    Base2K, BuildError, Degree, Dnum, Dsize, GGLWECiphertext, GGLWEInfos, GLWEInfos, LWEInfos, Rank, TorusPrecision,
-    prepared::{Prepare, PrepareAlloc, PrepareScratchSpace},
+    Base2K, BuildError, Degree, Dnum, Dsize, GGLWE, GGLWEInfos, GGLWEToRef, GLWEInfos, LWEInfos, Rank, TorusPrecision,
 };
 
 #[derive(PartialEq, Eq)]
-pub struct GGLWECiphertextPrepared<D: Data, B: Backend> {
+pub struct GGLWEPrepared<D: Data, B: Backend> {
     pub(crate) data: VmpPMat<D, B>,
     pub(crate) k: TorusPrecision,
     pub(crate) base2k: Base2K,
     pub(crate) dsize: Dsize,
 }
 
-impl<D: Data, B: Backend> LWEInfos for GGLWECiphertextPrepared<D, B> {
+impl<D: Data, B: Backend> LWEInfos for GGLWEPrepared<D, B> {
     fn n(&self) -> Degree {
         Degree(self.data.n() as u32)
     }
@@ -35,13 +34,13 @@ impl<D: Data, B: Backend> LWEInfos for GGLWECiphertextPrepared<D, B> {
     }
 }
 
-impl<D: Data, B: Backend> GLWEInfos for GGLWECiphertextPrepared<D, B> {
+impl<D: Data, B: Backend> GLWEInfos for GGLWEPrepared<D, B> {
     fn rank(&self) -> Rank {
         self.rank_out()
     }
 }
 
-impl<D: Data, B: Backend> GGLWEInfos for GGLWECiphertextPrepared<D, B> {
+impl<D: Data, B: Backend> GGLWEInfos for GGLWEPrepared<D, B> {
     fn rank_in(&self) -> Rank {
         Rank(self.data.cols_in() as u32)
     }
@@ -59,17 +58,17 @@ impl<D: Data, B: Backend> GGLWEInfos for GGLWECiphertextPrepared<D, B> {
     }
 }
 
-pub struct GGLWECiphertextPreparedBuilder<D: Data, B: Backend> {
+pub struct GGLWEPreparedBuilder<D: Data, B: Backend> {
     data: Option<VmpPMat<D, B>>,
     base2k: Option<Base2K>,
     k: Option<TorusPrecision>,
     dsize: Option<Dsize>,
 }
 
-impl<D: Data, B: Backend> GGLWECiphertextPrepared<D, B> {
+impl<D: Data, B: Backend> GGLWEPrepared<D, B> {
     #[inline]
-    pub fn builder() -> GGLWECiphertextPreparedBuilder<D, B> {
-        GGLWECiphertextPreparedBuilder {
+    pub fn builder() -> GGLWEPreparedBuilder<D, B> {
+        GGLWEPreparedBuilder {
             data: None,
             base2k: None,
             k: None,
@@ -78,7 +77,7 @@ impl<D: Data, B: Backend> GGLWECiphertextPrepared<D, B> {
     }
 }
 
-impl<B: Backend> GGLWECiphertextPreparedBuilder<Vec<u8>, B> {
+impl<B: Backend> GGLWEPreparedBuilder<Vec<u8>, B> {
     #[inline]
     pub fn layout<A>(mut self, infos: &A) -> Self
     where
@@ -99,7 +98,7 @@ impl<B: Backend> GGLWECiphertextPreparedBuilder<Vec<u8>, B> {
     }
 }
 
-impl<D: Data, B: Backend> GGLWECiphertextPreparedBuilder<D, B> {
+impl<D: Data, B: Backend> GGLWEPreparedBuilder<D, B> {
     #[inline]
     pub fn data(mut self, data: VmpPMat<D, B>) -> Self {
         self.data = Some(data);
@@ -122,7 +121,7 @@ impl<D: Data, B: Backend> GGLWECiphertextPreparedBuilder<D, B> {
         self
     }
 
-    pub fn build(self) -> Result<GGLWECiphertextPrepared<D, B>, BuildError> {
+    pub fn build(self) -> Result<GGLWEPrepared<D, B>, BuildError> {
         let data: VmpPMat<D, B> = self.data.ok_or(BuildError::MissingData)?;
         let base2k: Base2K = self.base2k.ok_or(BuildError::MissingBase2K)?;
         let k: TorusPrecision = self.k.ok_or(BuildError::MissingK)?;
@@ -152,7 +151,7 @@ impl<D: Data, B: Backend> GGLWECiphertextPreparedBuilder<D, B> {
             return Err(BuildError::ZeroLimbs);
         }
 
-        Ok(GGLWECiphertextPrepared {
+        Ok(GGLWEPrepared {
             data,
             base2k,
             k,
@@ -161,7 +160,7 @@ impl<D: Data, B: Backend> GGLWECiphertextPreparedBuilder<D, B> {
     }
 }
 
-impl<B: Backend> GGLWECiphertextPrepared<Vec<u8>, B> {
+impl<B: Backend> GGLWEPrepared<Vec<u8>, B> {
     pub fn alloc<A>(module: &Module<B>, infos: &A) -> Self
     where
         A: GGLWEInfos,
@@ -260,12 +259,21 @@ impl<B: Backend> GGLWECiphertextPrepared<Vec<u8>, B> {
     }
 }
 
-impl<B: Backend, A: GGLWEInfos> PrepareScratchSpace<B, A> for GGLWECiphertextPrepared<Vec<u8>, B>
+pub trait GGLWEPrepareTmpBytes {
+    fn gglwe_prepare_tmp_bytes<A>(&self, infos: &A) -> usize
+    where
+        A: GGLWEInfos;
+}
+
+impl<B: Backend> GGLWEPrepareTmpBytes for Module<B>
 where
     Module<B>: VmpPrepareTmpBytes,
 {
-    fn prepare_scratch_space(module: &Module<B>, infos: &A) -> usize {
-        module.vmp_prepare_tmp_bytes(
+    fn gglwe_prepare_tmp_bytes<A>(&self, infos: &A) -> usize
+    where
+        A: GGLWEInfos,
+    {
+        self.vmp_prepare_tmp_bytes(
             infos.dnum().into(),
             infos.rank_in().into(),
             (infos.rank() + 1).into(),
@@ -274,25 +282,106 @@ where
     }
 }
 
-impl<D: DataMut, DR: DataRef, B: Backend> Prepare<B, GGLWECiphertext<DR>> for GGLWECiphertextPrepared<D, B>
-where
-    Module<B>: VmpPrepare<B>,
-{
-    fn prepare(&mut self, module: &Module<B>, other: &GGLWECiphertext<DR>, scratch: &mut Scratch<B>) {
-        module.vmp_prepare(&mut self.data, &other.data, scratch);
-        self.k = other.k;
-        self.base2k = other.base2k;
-        self.dsize = other.dsize;
+impl<B: Backend> GGLWEPrepared<Vec<u8>, B> {
+    pub fn prepare_tmp_bytes(&self, module: &Module<B>)
+    where
+        Module<B>: GGLWEPrepareTmpBytes,
+    {
+        module.gglwe_prepare_tmp_bytes(self)
     }
 }
 
-impl<D: DataRef, B: Backend> PrepareAlloc<B, GGLWECiphertextPrepared<Vec<u8>, B>> for GGLWECiphertext<D>
+pub trait GGLWEPrepare<B: Backend> {
+    fn gglwe_prepare<R, O>(&self, res: &mut R, other: &O, scratch: &mut Scratch<B>)
+    where
+        R: GGLWEPreparedToMut<B>,
+        O: GGLWEToRef;
+}
+
+impl<B: Backend> GGLWEPrepare<B> for Module<B>
+where
+    Module<B>: VmpPrepare<B>,
+{
+    fn gglwe_prepare<R, O>(&self, res: &mut R, other: &O, scratch: &mut Scratch<B>)
+    where
+        R: GGLWEPreparedToMut<B>,
+        O: GGLWEToRef,
+    {
+        let mut res: GGLWEPrepared<&mut [u8], B> = self.to_mut();
+        let other: GGLWE<&[u8]> = other.to_ref();
+
+        assert_eq!(res.n(), self.n() as u32);
+        assert_eq!(other.n(), self.n() as u32);
+        assert_eq!(res.base2k, other.base2k);
+        assert_eq!(res.k, other.k);
+        assert_eq!(res.dsize, other.dsize);
+
+        self.vmp_prepare(&mut res.data, &other.data, scratch);
+    }
+}
+
+impl<D: DataMut, B: Backend> GGLWEPrepared<D, B>
+where
+    Module<B>: GGLWEPrepare<B>,
+{
+    fn prepare<O>(&mut self, module: &Module<B>, other: &O, scratch: &mut Scratch<B>)
+    where
+        O: GGLWEToRef,
+    {
+        module.gglwe_prepare(self, other, scratch);
+    }
+}
+
+pub trait GGLWEPrepareAlloc<B: Backend> {
+    fn gglwe_prepare_alloc<O>(&self, other: &O, scratch: &mut Scratch<B>) -> GGLWEPrepared<Vec<u8>, B>;
+}
+
+impl<B: Backend> GGLWEPrepareAlloc<B> for Module<B>
 where
     Module<B>: VmpPMatAlloc<B> + VmpPrepare<B>,
 {
-    fn prepare_alloc(&self, module: &Module<B>, scratch: &mut Scratch<B>) -> GGLWECiphertextPrepared<Vec<u8>, B> {
-        let mut atk_prepared: GGLWECiphertextPrepared<Vec<u8>, B> = GGLWECiphertextPrepared::alloc(module, self);
-        atk_prepared.prepare(module, self, scratch);
-        atk_prepared
+    fn gglwe_prepare_alloc<O>(&self, other: &O, scratch: &mut Scratch<B>) -> GGLWEPrepared<Vec<u8>, B> {
+        let mut ct_prepared: GGLWEPrepared<Vec<u8>, B> = GGLWEPrepared::alloc(self, &other.to_ref());
+        ct_prepared.prepare(self, &other.to_ref(), scratch);
+        ct_prepared
+    }
+}
+
+impl<D: DataRef> GGLWE<D> {
+    fn prepare_alloc<B: Backend>(&self, module: &Module<B>, scratch: &Scratch<B>) -> GGLWEPrepared<Vec<u8>, B>
+    where
+        Module<B>: GGLWEPrepareAlloc<B>,
+    {
+        module.gglwe_prepare_alloc(self, scratch)
+    }
+}
+
+pub trait GGLWEPreparedToMut<B: Backend> {
+    fn to_mut(&mut self) -> GGLWEPrepared<&mut [u8], B>;
+}
+
+impl<D: DataMut, B: Backend> GGLWEPreparedToMut<B> for GGLWEPrepared<D, B> {
+    fn to_mut(&mut self) -> GGLWEPrepared<&mut [u8], B> {
+        GGLWEPrepared {
+            k: self.k,
+            base2k: self.base2k,
+            dsize: self.dsize,
+            data: self.data.to_mut(),
+        }
+    }
+}
+
+pub trait GGLWEPreparedToRef<B: Backend> {
+    fn to_ref(&self) -> GGLWEPrepared<&[u8], B>;
+}
+
+impl<D: DataRef, B: Backend> GGLWEPreparedToRef<B> for GGLWEPrepared<D, B> {
+    fn to_ref(&self) -> GGLWEPrepared<&[u8], B> {
+        GGLWEPrepared {
+            k: self.k,
+            base2k: self.base2k,
+            dsize: self.dsize,
+            data: self.data.to_ref(),
+        }
     }
 }
diff --git a/poulpy-core/src/layouts/prepared/gglwe_ksk.rs b/poulpy-core/src/layouts/prepared/gglwe_ksk.rs
index c9110c1..7f2f887 100644
--- a/poulpy-core/src/layouts/prepared/gglwe_ksk.rs
+++ b/poulpy-core/src/layouts/prepared/gglwe_ksk.rs
@@ -1,21 +1,36 @@
 use poulpy_hal::{
-    api::{VmpPMatAlloc, VmpPMatAllocBytes, VmpPrepare},
+    api::{VmpPMatAlloc, VmpPMatAllocBytes},
     layouts::{Backend, Data, DataMut, DataRef, Module, Scratch},
 };
 
 use crate::layouts::{
-    Base2K, Degree, Dnum, Dsize, GGLWEInfos, GGLWESwitchingKey, GLWEInfos, LWEInfos, Rank, TorusPrecision,
-    prepared::{GGLWECiphertextPrepared, Prepare, PrepareAlloc, PrepareScratchSpace},
+    Base2K, Degree, Dnum, Dsize, GGLWEInfos, GLWEInfos, GLWESwitchingKey, GLWESwitchingKeyToRef, LWEInfos, Rank, TorusPrecision,
+    prepared::{GGLWEPrepare, GGLWEPrepareTmpBytes, GGLWEPrepared, GGLWEPreparedToMut, GGLWEPreparedToRef},
 };
 
 #[derive(PartialEq, Eq)]
-pub struct GGLWESwitchingKeyPrepared<D: Data, B: Backend> {
-    pub(crate) key: GGLWECiphertextPrepared<D, B>,
+pub struct GLWESwitchingKeyPrepared<D: Data, B: Backend> {
+    pub(crate) key: GGLWEPrepared<D, B>,
     pub(crate) sk_in_n: usize,  // Degree of sk_in
     pub(crate) sk_out_n: usize, // Degree of sk_out
 }
 
-impl<D: Data, B: Backend> LWEInfos for GGLWESwitchingKeyPrepared<D, B> {
+pub(crate) trait GLWESwitchingKeyPreparedSetMetaData {
+    fn set_sk_in_n(&mut self, sk_in_n: usize);
+    fn set_sk_out_n(&mut self, sk_out_n: usize);
+}
+
+impl<D: DataMut, B: Backend> GLWESwitchingKeyPreparedSetMetaData for GLWESwitchingKeyPrepared<D, B> {
+    fn set_sk_in_n(&mut self, sk_in_n: usize) {
+        self.sk_in_n = sk_in_n
+    }
+
+    fn set_sk_out_n(&mut self, sk_out_n: usize) {
+        self.sk_out_n = self.sk_out_n
+    }
+}
+
+impl<D: Data, B: Backend> LWEInfos for GLWESwitchingKeyPrepared<D, B> {
     fn n(&self) -> Degree {
         self.key.n()
     }
@@ -33,13 +48,13 @@ impl<D: Data, B: Backend> LWEInfos for GGLWESwitchingKeyPrepared<D, B> {
     }
 }
 
-impl<D: Data, B: Backend> GLWEInfos for GGLWESwitchingKeyPrepared<D, B> {
+impl<D: Data, B: Backend> GLWEInfos for GLWESwitchingKeyPrepared<D, B> {
     fn rank(&self) -> Rank {
         self.rank_out()
     }
 }
 
-impl<D: Data, B: Backend> GGLWEInfos for GGLWESwitchingKeyPrepared<D, B> {
+impl<D: Data, B: Backend> GGLWEInfos for GLWESwitchingKeyPrepared<D, B> {
     fn rank_in(&self) -> Rank {
         self.key.rank_in()
     }
@@ -57,15 +72,15 @@ impl<D: Data, B: Backend> GGLWEInfos for GGLWESwitchingKeyPrepared<D, B> {
     }
 }
 
-impl<B: Backend> GGLWESwitchingKeyPrepared<Vec<u8>, B> {
+impl<B: Backend> GLWESwitchingKeyPrepared<Vec<u8>, B> {
     pub fn alloc<A>(module: &Module<B>, infos: &A) -> Self
     where
         A: GGLWEInfos,
         Module<B>: VmpPMatAlloc<B>,
     {
         debug_assert_eq!(module.n() as u32, infos.n(), "module.n() != infos.n()");
-        GGLWESwitchingKeyPrepared::<Vec<u8>, B> {
-            key: GGLWECiphertextPrepared::alloc(module, infos),
+        GLWESwitchingKeyPrepared::<Vec<u8>, B> {
+            key: GGLWEPrepared::alloc(module, infos),
             sk_in_n: 0,
             sk_out_n: 0,
         }
@@ -83,8 +98,8 @@ impl<B: Backend> GGLWESwitchingKeyPrepared<Vec<u8>, B> {
     where
         Module<B>: VmpPMatAlloc<B>,
     {
-        GGLWESwitchingKeyPrepared::<Vec<u8>, B> {
-            key: GGLWECiphertextPrepared::alloc_with(module, base2k, k, rank_in, rank_out, dnum, dsize),
+        GLWESwitchingKeyPrepared::<Vec<u8>, B> {
+            key: GGLWEPrepared::alloc_with(module, base2k, k, rank_in, rank_out, dnum, dsize),
             sk_in_n: 0,
             sk_out_n: 0,
         }
@@ -96,7 +111,7 @@ impl<B: Backend> GGLWESwitchingKeyPrepared<Vec<u8>, B> {
         Module<B>: VmpPMatAllocBytes,
     {
         debug_assert_eq!(module.n() as u32, infos.n(), "module.n() != infos.n()");
-        GGLWECiphertextPrepared::alloc_bytes(module, infos)
+        GGLWEPrepared::alloc_bytes(module, infos)
     }
 
     pub fn alloc_bytes_with(
@@ -111,37 +126,122 @@ impl<B: Backend> GGLWESwitchingKeyPrepared<Vec<u8>, B> {
     where
         Module<B>: VmpPMatAllocBytes,
     {
-        GGLWECiphertextPrepared::alloc_bytes_with(module, base2k, k, rank_in, rank_out, dnum, dsize)
+        GGLWEPrepared::alloc_bytes_with(module, base2k, k, rank_in, rank_out, dnum, dsize)
     }
 }
 
-impl<B: Backend, A: GGLWEInfos> PrepareScratchSpace<B, A> for GGLWESwitchingKeyPrepared<Vec<u8>, B>
+pub trait GLWESwitchingKeyPrepareTmpBytes {
+    fn glwe_switching_key_prepare_tmp_bytes<A>(&self, infos: &A) -> usize
+    where
+        A: GGLWEInfos;
+}
+
+impl<B: Backend> GLWESwitchingKeyPrepareTmpBytes for Module<B>
 where
-    GGLWECiphertextPrepared<Vec<u8>, B>: PrepareScratchSpace<B, A>,
+    Module<B>: GGLWEPrepareTmpBytes,
 {
-    fn prepare_scratch_space(module: &Module<B>, infos: &A) -> usize {
-        GGLWECiphertextPrepared::prepare_scratch_space(module, infos)
+    fn glwe_switching_key_prepare_tmp_bytes<A>(&self, infos: &A) -> usize
+    where
+        A: GGLWEInfos,
+    {
+        self.gglwe_prepare_tmp_bytes(infos)
     }
 }
 
-impl<D: DataMut, DR: DataRef, B: Backend> Prepare<B, GGLWESwitchingKey<DR>> for GGLWESwitchingKeyPrepared<D, B>
+impl<B: Backend> GLWESwitchingKeyPrepared<Vec<u8>, B>
 where
-    Module<B>: VmpPrepare<B>,
+    Module<B>: GGLWEPrepareTmpBytes,
 {
-    fn prepare(&mut self, module: &Module<B>, other: &GGLWESwitchingKey<DR>, scratch: &mut Scratch<B>) {
-        self.key.prepare(module, &other.key, scratch);
-        self.sk_in_n = other.sk_in_n;
-        self.sk_out_n = other.sk_out_n;
+    pub fn prepare_tmp_bytes(&self, module: &Module<B>) -> usize {
+        module.gglwe_prepare_tmp_bytes(self)
     }
 }
 
-impl<D: DataRef, B: Backend> PrepareAlloc<B, GGLWESwitchingKeyPrepared<Vec<u8>, B>> for GGLWESwitchingKey<D>
+pub trait GLWESwitchingKeyPrepare<B: Backend> {
+    fn glwe_switching_prepare<R, O>(&self, res: &R, other: &O, scratch: &mut Scratch<B>)
+    where
+        R: GLWESwitchingKeyPreparedToMut<B> + GLWESwitchingKeyPreparedSetMetaData,
+        O: GLWESwitchingKeyToRef;
+}
+
+impl<B: Backend> GLWESwitchingKeyPrepare<B> for Module<B>
 where
-    Module<B>: VmpPMatAlloc<B> + VmpPrepare<B>,
+    Module<B>: GGLWEPrepare<B>,
 {
-    fn prepare_alloc(&self, module: &Module<B>, scratch: &mut Scratch<B>) -> GGLWESwitchingKeyPrepared<Vec<u8>, B> {
-        let mut atk_prepared: GGLWESwitchingKeyPrepared<Vec<u8>, B> = GGLWESwitchingKeyPrepared::alloc(module, self);
-        atk_prepared.prepare(module, self, scratch);
-        atk_prepared
+    fn glwe_switching_prepare<R, O>(&self, res: &R, other: &O, scratch: &mut Scratch<B>)
+    where
+        R: GLWESwitchingKeyPreparedToMut<B> + GLWESwitchingKeyPreparedSetMetaData,
+        O: GLWESwitchingKeyToRef,
+    {
+        self.gglwe_prepare(&res.to_mut(), other, scratch);
+        res.set_sk_in_n(other.sk_in_n);
+        res.set_sk_out_n(other.sk_out_n);
+    }
+}
+
+impl<D: DataMut, B: Backend> GLWESwitchingKeyPrepared<D, B> {
+    pub fn prepare<O>(&mut self, module: &Module<B>, other: &O, scratch: &mut Scratch<B>)
+    where
+        O: GLWESwitchingKeyToRef,
+        Module<B>: GLWESwitchingKeyPrepare<B>,
+    {
+        module.glwe_switching_prepare(self, other, scratch);
+    }
+}
+
+pub trait GLWESwitchingKeyPrepareAlloc<B: Backend> {
+    fn glwe_switching_key_prepare_alloc<O>(&self, other: &O, scratch: &mut Scratch<B>)
+    where
+        O: GLWESwitchingKeyToRef;
+}
+
+impl<B: Backend> GLWESwitchingKeyPrepareAlloc<B> for Module<B>
+where
+    Module<B>: GLWESwitchingKeyPrepare<B>,
+{
+    fn glwe_switching_key_prepare_alloc<O>(&self, other: &O, scratch: &mut Scratch<B>)
+    where
+        O: GLWESwitchingKeyToRef,
+    {
+        let mut ct_prepared: GLWESwitchingKeyPrepared<Vec<u8>, B> = GLWESwitchingKeyPrepared::alloc(self, self);
+        self.glwe_switching_prepare(&mut ct_prepared, other, scratch);
+        ct_prepared
+    }
+}
+
+impl<D: DataRef> GLWESwitchingKey<D> {
+    pub fn prepare_alloc<B: Backend>(&self, module: &Module<B>, scratch: &mut Scratch<B>) -> GLWESwitchingKeyPrepared<Vec<u8>, B>
+    where
+        Module<B>: GLWESwitchingKeyPrepareAlloc<B>,
+    {
+        module.glwe_switching_key_prepare_alloc(self, scratch);
+    }
+}
+
+pub trait GLWESwitchingKeyPreparedToMut<B: Backend> {
+    fn to_mut(&mut self) -> GLWESwitchingKeyPrepared<&mut [u8], B>;
+}
+
+impl<D: DataMut, B: Backend> GLWESwitchingKeyPreparedToMut<B> for GLWESwitchingKeyPrepared<D, B> {
+    fn to_mut(&mut self) -> GLWESwitchingKeyPrepared<&mut [u8], B> {
+        GLWESwitchingKeyPrepared {
+            sk_in_n: self.sk_in_n,
+            sk_out_n: self.sk_out_n,
+            key: self.key.to_mut(),
+        }
+    }
+}
+
+pub trait GLWESwitchingKeyPreparedToRef<B: Backend> {
+    fn to_ref(&self) -> GLWESwitchingKeyPrepared<&[u8], B>;
+}
+
+impl<D: DataRef, B: Backend> GLWESwitchingKeyPreparedToRef<B> for GLWESwitchingKeyPrepared<D, B> {
+    fn to_ref(&self) -> GLWESwitchingKeyPrepared<&[u8], B> {
+        GLWESwitchingKeyPrepared {
+            sk_in_n: self.sk_in_n,
+            sk_out_n: self.sk_out_n,
+            key: self.key.to_ref(),
+        }
     }
 }
diff --git a/poulpy-core/src/layouts/prepared/gglwe_tsk.rs b/poulpy-core/src/layouts/prepared/gglwe_tsk.rs
index 4343e30..eed6ff2 100644
--- a/poulpy-core/src/layouts/prepared/gglwe_tsk.rs
+++ b/poulpy-core/src/layouts/prepared/gglwe_tsk.rs
@@ -1,19 +1,23 @@
 use poulpy_hal::{
-    api::{VmpPMatAlloc, VmpPMatAllocBytes, VmpPrepare},
+    api::{VmpPMatAlloc, VmpPMatAllocBytes},
     layouts::{Backend, Data, DataMut, DataRef, Module, Scratch},
 };
 
 use crate::layouts::{
-    Base2K, Degree, Dnum, Dsize, GGLWEInfos, GGLWETensorKey, GLWEInfos, LWEInfos, Rank, TorusPrecision,
-    prepared::{GGLWESwitchingKeyPrepared, Prepare, PrepareAlloc, PrepareScratchSpace},
+    Base2K, Degree, Dnum, Dsize, GGLWEInfos, GLWEInfos, LWEInfos, Rank, TensorKey, TensorKeyToRef, TorusPrecision,
+    compressed::TensorKeyCompressedToMut,
+    prepared::{
+        GLWESwitchingKeyPrepare, GLWESwitchingKeyPrepareTmpBytes, GLWESwitchingKeyPrepared, GLWESwitchingKeyPreparedToMut,
+        GLWESwitchingKeyPreparedToRef,
+    },
 };
 
 #[derive(PartialEq, Eq)]
-pub struct GGLWETensorKeyPrepared<D: Data, B: Backend> {
-    pub(crate) keys: Vec<GGLWESwitchingKeyPrepared<D, B>>,
+pub struct TensorKeyPrepared<D: Data, B: Backend> {
+    pub(crate) keys: Vec<GLWESwitchingKeyPrepared<D, B>>,
 }
 
-impl<D: Data, B: Backend> LWEInfos for GGLWETensorKeyPrepared<D, B> {
+impl<D: Data, B: Backend> LWEInfos for TensorKeyPrepared<D, B> {
     fn n(&self) -> Degree {
         self.keys[0].n()
     }
@@ -31,13 +35,13 @@ impl<D: Data, B: Backend> LWEInfos for GGLWETensorKeyPrepared<D, B> {
     }
 }
 
-impl<D: Data, B: Backend> GLWEInfos for GGLWETensorKeyPrepared<D, B> {
+impl<D: Data, B: Backend> GLWEInfos for TensorKeyPrepared<D, B> {
     fn rank(&self) -> Rank {
         self.rank_out()
     }
 }
 
-impl<D: Data, B: Backend> GGLWEInfos for GGLWETensorKeyPrepared<D, B> {
+impl<D: Data, B: Backend> GGLWEInfos for TensorKeyPrepared<D, B> {
     fn rank_in(&self) -> Rank {
         self.rank_out()
     }
@@ -55,7 +59,7 @@ impl<D: Data, B: Backend> GGLWEInfos for GGLWETensorKeyPrepared<D, B> {
     }
 }
 
-impl<B: Backend> GGLWETensorKeyPrepared<Vec<u8>, B> {
+impl<B: Backend> TensorKeyPrepared<Vec<u8>, B> {
     pub fn alloc<A>(module: &Module<B>, infos: &A) -> Self
     where
         A: GGLWEInfos,
@@ -80,10 +84,10 @@ impl<B: Backend> GGLWETensorKeyPrepared<Vec<u8>, B> {
     where
         Module<B>: VmpPMatAlloc<B>,
     {
-        let mut keys: Vec<GGLWESwitchingKeyPrepared<Vec<u8>, B>> = Vec::new();
+        let mut keys: Vec<GLWESwitchingKeyPrepared<Vec<u8>, B>> = Vec::new();
         let pairs: u32 = (((rank.0 + 1) * rank.0) >> 1).max(1);
         (0..pairs).for_each(|_| {
-            keys.push(GGLWESwitchingKeyPrepared::alloc_with(
+            keys.push(GLWESwitchingKeyPrepared::alloc_with(
                 module,
                 base2k,
                 k,
@@ -109,7 +113,7 @@ impl<B: Backend> GGLWETensorKeyPrepared<Vec<u8>, B> {
         let rank_out: usize = infos.rank_out().into();
         let pairs: usize = (((rank_out + 1) * rank_out) >> 1).max(1);
         pairs
-            * GGLWESwitchingKeyPrepared::alloc_bytes_with(
+            * GLWESwitchingKeyPrepared::alloc_bytes_with(
                 module,
                 infos.base2k(),
                 infos.k(),
@@ -125,13 +129,13 @@ impl<B: Backend> GGLWETensorKeyPrepared<Vec<u8>, B> {
         Module<B>: VmpPMatAllocBytes,
     {
         let pairs: usize = (((rank.0 + 1) * rank.0) >> 1).max(1) as usize;
-        pairs * GGLWESwitchingKeyPrepared::alloc_bytes_with(module, base2k, k, Rank(1), rank, dnum, dsize)
+        pairs * GLWESwitchingKeyPrepared::alloc_bytes_with(module, base2k, k, Rank(1), rank, dnum, dsize)
     }
 }
 
-impl<D: DataMut, B: Backend> GGLWETensorKeyPrepared<D, B> {
+impl<D: DataMut, B: Backend> TensorKeyPrepared<D, B> {
     // Returns a mutable reference to GLWESwitchingKey_{s}(s[i] * s[j])
-    pub fn at_mut(&mut self, mut i: usize, mut j: usize) -> &mut GGLWESwitchingKeyPrepared<D, B> {
+    pub fn at_mut(&mut self, mut i: usize, mut j: usize) -> &mut GLWESwitchingKeyPrepared<D, B> {
         if i > j {
             std::mem::swap(&mut i, &mut j);
         };
@@ -140,9 +144,9 @@ impl<D: DataMut, B: Backend> GGLWETensorKeyPrepared<D, B> {
     }
 }
 
-impl<D: DataRef, B: Backend> GGLWETensorKeyPrepared<D, B> {
+impl<D: DataRef, B: Backend> TensorKeyPrepared<D, B> {
     // Returns a reference to GLWESwitchingKey_{s}(s[i] * s[j])
-    pub fn at(&self, mut i: usize, mut j: usize) -> &GGLWESwitchingKeyPrepared<D, B> {
+    pub fn at(&self, mut i: usize, mut j: usize) -> &GLWESwitchingKeyPrepared<D, B> {
         if i > j {
             std::mem::swap(&mut i, &mut j);
         };
@@ -151,40 +155,125 @@ impl<D: DataRef, B: Backend> GGLWETensorKeyPrepared<D, B> {
     }
 }
 
-impl<B: Backend, A: GGLWEInfos> PrepareScratchSpace<B, A> for GGLWETensorKeyPrepared<Vec<u8>, B>
+pub trait TensorKeyPrepareTmpBytes {
+    fn tensor_key_prepare_tmp_bytes<A>(&self, infos: &A) -> usize;
+}
+
+impl<B: Backend> TensorKeyPrepareTmpBytes for Module<B>
 where
-    GGLWESwitchingKeyPrepared<Vec<u8>, B>: PrepareScratchSpace<B, A>,
+    Module<B>: GLWESwitchingKeyPrepareTmpBytes,
 {
-    fn prepare_scratch_space(module: &Module<B>, infos: &A) -> usize {
-        GGLWESwitchingKeyPrepared::prepare_scratch_space(module, infos)
+    fn tensor_key_prepare_tmp_bytes<A>(&self, infos: &A) -> usize {
+        self.glwe_switching_key_prepare_tmp_bytes(infos)
     }
 }
 
-impl<D: DataMut, DR: DataRef, B: Backend> Prepare<B, GGLWETensorKey<DR>> for GGLWETensorKeyPrepared<D, B>
+impl<B: Backend> TensorKeyPrepared<Vec<u8>, B>
 where
-    Module<B>: VmpPrepare<B>,
+    Module<B>: TensorKeyPrepareTmpBytes,
 {
-    fn prepare(&mut self, module: &Module<B>, other: &GGLWETensorKey<DR>, scratch: &mut Scratch<B>) {
-        #[cfg(debug_assertions)]
-        {
-            assert_eq!(self.keys.len(), other.keys.len());
+    fn prepare_tmp_bytes<A>(&self, module: &Module<B>, infos: &A) -> usize
+    where
+        A: GGLWEInfos,
+    {
+        module.tensor_key_prepare_tmp_bytes(infos)
+    }
+}
+
+pub trait TensorKeyPrepare<B: Backend> {
+    fn tensor_key_prepare<R, O>(&self, res: &mut R, other: &O, scratch: &Scratch<B>)
+    where
+        R: TensorKeyPreparedToMut<B>,
+        O: TensorKeyToRef;
+}
+
+impl<B: Backend> TensorKeyPrepare<B> for Module<B>
+where
+    Module<B>: GLWESwitchingKeyPrepare<B>,
+{
+    fn tensor_key_prepare<R, O>(&self, res: &mut R, other: &O, scratch: &Scratch<B>)
+    where
+        R: TensorKeyPreparedToMut<B>,
+        O: TensorKeyToRef,
+    {
+        let res = res.to_mut();
+        let other = other.to_ref();
+
+        assert_eq!(self.keys.len(), other.keys.len());
+
+        for (a, b) in res.keys.iter_mut().zip(other.keys.iter()) {
+            self.glwe_switching_prepare(a, b, scratch);
         }
-        self.keys
-            .iter_mut()
-            .zip(other.keys.iter())
-            .for_each(|(a, b)| {
-                a.prepare(module, b, scratch);
-            });
     }
 }
 
-impl<D: DataRef, B: Backend> PrepareAlloc<B, GGLWETensorKeyPrepared<Vec<u8>, B>> for GGLWETensorKey<D>
+impl<D: DataMut, B: Backend> TensorKeyPrepared<D, B>
 where
-    Module<B>: VmpPMatAlloc<B> + VmpPrepare<B>,
+    Module<B>: TensorKeyPrepare<B>,
 {
-    fn prepare_alloc(&self, module: &Module<B>, scratch: &mut Scratch<B>) -> GGLWETensorKeyPrepared<Vec<u8>, B> {
-        let mut tsk_prepared: GGLWETensorKeyPrepared<Vec<u8>, B> = GGLWETensorKeyPrepared::alloc(module, self);
-        tsk_prepared.prepare(module, self, scratch);
-        tsk_prepared
+    fn prepare<O>(&mut self, module: &Module<B>, other: &O, scratch: &mut Scratch<B>)
+    where
+        O: TensorKeyToRef,
+    {
+        module.tensor_key_prepare(self, other, scratch);
+    }
+}
+
+pub trait TensorKeyPrepareAlloc<B: Backend> {
+    fn tensor_key_prepare_alloc<O>(&self, other: &O, scratch: &mut Scratch<B>)
+    where
+        O: TensorKeyToRef;
+}
+
+impl<B: Backend> TensorKeyPrepareAlloc<B> for Module<B>
+where
+    Module<B>: TensorKeyPrepare<B>,
+{
+    fn tensor_key_prepare_alloc<O>(&self, other: &O, scratch: &mut Scratch<B>)
+    where
+        O: TensorKeyToRef,
+    {
+        let mut ct_prepared: TensorKeyPrepared<Vec<u8>, B> = TensorKeyPrepared::alloc(self, other);
+        self.tensor_key_prepare(ct_prepared, other, scratch);
+        ct_prepared
+    }
+}
+
+impl<D: DataRef> TensorKey<D> {
+    pub fn prepare_alloc<B: Backend>(&self, module: &Module<B>, scratch: &Scratch<B>)
+    where
+        Module<B>: TensorKeyPrepareAlloc<B>,
+    {
+        module.tensor_key_prepare_alloc(self, scratch);
+    }
+}
+
+pub trait TensorKeyPreparedToMut<B: Backend> {
+    fn to_mut(&mut self) -> TensorKeyPrepared<&mut [u8], B>;
+}
+
+impl<D: DataMut, B: Backend> TensorKeyPreparedToMut<B> for TensorKeyPrepared<D, B>
+where
+    GLWESwitchingKeyPrepared<D, B>: GLWESwitchingKeyPreparedToMut<B>,
+{
+    fn to_mut(&mut self) -> TensorKeyPrepared<&mut [u8], B> {
+        TensorKeyPrepared {
+            keys: self.keys.iter_mut().map(|c| c.to_mut()).collect(),
+        }
+    }
+}
+
+pub trait TensorKeyPreparedToRef<B: Backend> {
+    fn to_ref(&self) -> TensorKeyPrepared<&[u8], B>;
+}
+
+impl<D: DataRef, B: Backend> TensorKeyPreparedToRef<B> for TensorKeyPrepared<D, B>
+where
+    GLWESwitchingKeyPrepared<D, B>: GLWESwitchingKeyPreparedToRef<B>,
+{
+    fn to_ref(&self) -> TensorKeyPrepared<&[u8], B> {
+        TensorKeyPrepared {
+            keys: self.keys.iter().map(|c| c.to_ref()).collect(),
+        }
     }
 }
diff --git a/poulpy-core/src/layouts/prepared/ggsw_ct.rs b/poulpy-core/src/layouts/prepared/ggsw_ct.rs
index a3871f6..120c9ed 100644
--- a/poulpy-core/src/layouts/prepared/ggsw_ct.rs
+++ b/poulpy-core/src/layouts/prepared/ggsw_ct.rs
@@ -5,19 +5,18 @@ use poulpy_hal::{
 };
 
 use crate::layouts::{
-    Base2K, BuildError, Degree, Dnum, Dsize, GGSWCiphertext, GGSWInfos, GLWEInfos, LWEInfos, Rank, TorusPrecision,
-    prepared::{Prepare, PrepareAlloc, PrepareScratchSpace},
+    Base2K, BuildError, Degree, Dnum, Dsize, GGSW, GGSWInfos, GGSWToMut, GGSWToRef, GLWEInfos, LWEInfos, Rank, TorusPrecision,
 };
 
 #[derive(PartialEq, Eq)]
-pub struct GGSWCiphertextPrepared<D: Data, B: Backend> {
+pub struct GGSWPrepared<D: Data, B: Backend> {
     pub(crate) data: VmpPMat<D, B>,
     pub(crate) k: TorusPrecision,
     pub(crate) base2k: Base2K,
     pub(crate) dsize: Dsize,
 }
 
-impl<D: Data, B: Backend> LWEInfos for GGSWCiphertextPrepared<D, B> {
+impl<D: Data, B: Backend> LWEInfos for GGSWPrepared<D, B> {
     fn n(&self) -> Degree {
         Degree(self.data.n() as u32)
     }
@@ -35,13 +34,13 @@ impl<D: Data, B: Backend> LWEInfos for GGSWCiphertextPrepared<D, B> {
     }
 }
 
-impl<D: Data, B: Backend> GLWEInfos for GGSWCiphertextPrepared<D, B> {
+impl<D: Data, B: Backend> GLWEInfos for GGSWPrepared<D, B> {
     fn rank(&self) -> Rank {
         Rank(self.data.cols_out() as u32 - 1)
     }
 }
 
-impl<D: Data, B: Backend> GGSWInfos for GGSWCiphertextPrepared<D, B> {
+impl<D: Data, B: Backend> GGSWInfos for GGSWPrepared<D, B> {
     fn dsize(&self) -> Dsize {
         self.dsize
     }
@@ -58,7 +57,7 @@ pub struct GGSWCiphertextPreparedBuilder<D: Data, B: Backend> {
     dsize: Option<Dsize>,
 }
 
-impl<D: Data, B: Backend> GGSWCiphertextPrepared<D, B> {
+impl<D: Data, B: Backend> GGSWPrepared<D, B> {
     #[inline]
     pub fn builder() -> GGSWCiphertextPreparedBuilder<D, B> {
         GGSWCiphertextPreparedBuilder {
@@ -129,7 +128,7 @@ impl<D: Data, B: Backend> GGSWCiphertextPreparedBuilder<D, B> {
         self
     }
 
-    pub fn build(self) -> Result<GGSWCiphertextPrepared<D, B>, BuildError> {
+    pub fn build(self) -> Result<GGSWPrepared<D, B>, BuildError> {
         let data: VmpPMat<D, B> = self.data.ok_or(BuildError::MissingData)?;
         let base2k: Base2K = self.base2k.ok_or(BuildError::MissingBase2K)?;
         let k: TorusPrecision = self.k.ok_or(BuildError::MissingK)?;
@@ -159,7 +158,7 @@ impl<D: Data, B: Backend> GGSWCiphertextPreparedBuilder<D, B> {
             return Err(BuildError::ZeroLimbs);
         }
 
-        Ok(GGSWCiphertextPrepared {
+        Ok(GGSWPrepared {
             data,
             base2k,
             k,
@@ -168,7 +167,7 @@ impl<D: Data, B: Backend> GGSWCiphertextPreparedBuilder<D, B> {
     }
 }
 
-impl<B: Backend> GGSWCiphertextPrepared<Vec<u8>, B> {
+impl<B: Backend> GGSWPrepared<Vec<u8>, B> {
     pub fn alloc<A>(module: &Module<B>, infos: &A) -> Self
     where
         A: GGSWInfos,
@@ -252,18 +251,27 @@ impl<B: Backend> GGSWCiphertextPrepared<Vec<u8>, B> {
     }
 }
 
-impl<D: DataRef, B: Backend> GGSWCiphertextPrepared<D, B> {
+impl<D: DataRef, B: Backend> GGSWPrepared<D, B> {
     pub fn data(&self) -> &VmpPMat<D, B> {
         &self.data
     }
 }
 
-impl<B: Backend, A: GGSWInfos> PrepareScratchSpace<B, A> for GGSWCiphertextPrepared<Vec<u8>, B>
+pub trait GGSWPrepareTmpBytes {
+    fn ggsw_prepare_tmp_bytes<A>(&self, infos: &A) -> usize
+    where
+        A: GGSWInfos;
+}
+
+impl<B: Backend> GGSWPrepareTmpBytes for Module<B>
 where
     Module<B>: VmpPrepareTmpBytes,
 {
-    fn prepare_scratch_space(module: &Module<B>, infos: &A) -> usize {
-        module.vmp_prepare_tmp_bytes(
+    fn ggsw_prepare_tmp_bytes<A>(&self, infos: &A) -> usize
+    where
+        A: GGSWInfos,
+    {
+        self.vmp_prepare_tmp_bytes(
             infos.dnum().into(),
             (infos.rank() + 1).into(),
             (infos.rank() + 1).into(),
@@ -272,57 +280,110 @@ where
     }
 }
 
-impl<D: DataMut, DR: DataRef, B: Backend> Prepare<B, GGSWCiphertext<DR>> for GGSWCiphertextPrepared<D, B>
+impl<B: Backend> GGSWPrepared<Vec<u8>, B>
+where
+    Module<B>: GGSWPrepareTmpBytes,
+{
+    pub fn prepare_tmp_bytes<A>(&self, module: Module<B>, infos: &A) -> usize
+    where
+        A: GGSWInfos,
+    {
+        module.ggsw_prepare_tmp_bytes(self)
+    }
+}
+
+pub trait GGSWPrepare<B: Backend> {
+    fn ggsw_prepare<R, O>(&self, res: &mut R, other: &O, scratch: &mut Scratch<B>)
+    where
+        R: GGSWPreparedToMut<B>,
+        O: GGSWToRef;
+}
+
+impl<B: Backend> GGSWPrepare<B> for Module<B>
 where
     Module<B>: VmpPrepare<B>,
 {
-    fn prepare(&mut self, module: &Module<B>, other: &GGSWCiphertext<DR>, scratch: &mut Scratch<B>) {
-        module.vmp_prepare(&mut self.data, &other.data, scratch);
-        self.k = other.k;
-        self.base2k = other.base2k;
-        self.dsize = other.dsize;
+    fn ggsw_prepare<R, O>(&self, res: &mut R, other: &O, scratch: &mut Scratch<B>)
+    where
+        R: GGSWPreparedToMut<B>,
+        O: GGSWToRef,
+    {
+        let mut res: GGSWPrepared<&mut [u8], B> = res.to_mut();
+        let other: GGSW<&[u8]> = other.to_ref();
+        assert_eq!(res.k, other.k);
+        assert_eq!(res.base2k, other.base2k);
+        assert_eq!(res.dsize, other.dsize);
+        self.vmp_prepare(&mut res.data, &other.data, scratch);
     }
 }
 
-impl<D: DataRef, B: Backend> PrepareAlloc<B, GGSWCiphertextPrepared<Vec<u8>, B>> for GGSWCiphertext<D>
+impl<D: DataMut, B: Backend> GGSWPrepared<D, B>
 where
-    Module<B>: VmpPMatAlloc<B> + VmpPrepare<B>,
+    Module<B>: GGSWPrepare<B>,
 {
-    fn prepare_alloc(&self, module: &Module<B>, scratch: &mut Scratch<B>) -> GGSWCiphertextPrepared<Vec<u8>, B> {
-        let mut ggsw_prepared: GGSWCiphertextPrepared<Vec<u8>, B> = GGSWCiphertextPrepared::alloc(module, self);
-        ggsw_prepared.prepare(module, self, scratch);
-        ggsw_prepared
+    pub fn prepare<O>(&mut self, module: &Module<B>, other: &O, scratch: &mut Scratch<B>)
+    where
+        O: GGSWToRef,
+    {
+        module.ggsw_prepare(self, other, scratch);
     }
 }
 
-pub trait GGSWCiphertextPreparedToMut<B: Backend> {
-    fn to_ref(&mut self) -> GGSWCiphertextPrepared<&mut [u8], B>;
+pub trait GGSWPrepareAlloc<B: Backend> {
+    fn ggsw_prepare_alloc<O>(&self, other: &O, scratch: &mut Scratch<B>)
+    where
+        O: GGSWToRef;
 }
 
-impl<D: DataMut, B: Backend> GGSWCiphertextPreparedToMut<B> for GGSWCiphertextPrepared<D, B> {
-    fn to_ref(&mut self) -> GGSWCiphertextPrepared<&mut [u8], B> {
-        GGSWCiphertextPrepared::builder()
-            .base2k(self.base2k())
-            .dsize(self.dsize())
-            .k(self.k())
-            .data(self.data.to_mut())
-            .build()
-            .unwrap()
+impl<B: Backend> GGSWPrepareAlloc<B> for Module<B>
+where
+    Module<B>: GGSWPrepare<B>,
+{
+    fn ggsw_prepare_alloc<O>(&self, other: &O, scratch: &mut Scratch<B>)
+    where
+        O: GGSWToRef,
+    {
+        let mut ct_prepared: GGSWPrepared<Vec<u8>, B> = GGSWPrepared::alloc(self, other);
+        self.ggsw_prepare(&mut ct_prepared, other, scratch);
+        ct_prepared
+    }
+}
+
+impl<D: DataRef> GGSW<D> {
+    fn prepare_alloc<B: Backend>(&self, module: &Module<B>, scratch: &mut Scratch<B>)
+    where
+        Module<B>: GGSWPrepareAlloc<B>,
+    {
+        module.ggsw_prepare_alloc(self, scratch);
+    }
+}
+
+pub trait GGSWPreparedToMut<B: Backend> {
+    fn to_mut(&mut self) -> GGSWPrepared<&mut [u8], B>;
+}
+
+impl<D: DataMut, B: Backend> GGSWPreparedToMut<B> for GGSWPrepared<D, B> {
+    fn to_mut(&mut self) -> GGSWPrepared<&mut [u8], B> {
+        GGSWPrepared {
+            base2k: self.base2k,
+            k: self.k,
+            dsize: self.dsize,
+            data: self.data.to_mut(),
+        }
     }
 }
 
 pub trait GGSWCiphertextPreparedToRef<B: Backend> {
-    fn to_ref(&self) -> GGSWCiphertextPrepared<&[u8], B>;
+    fn to_ref(&self) -> GGSWPrepared<&[u8], B>;
 }
 
-impl<D: DataRef, B: Backend> GGSWCiphertextPreparedToRef<B> for GGSWCiphertextPrepared<D, B> {
-    fn to_ref(&self) -> GGSWCiphertextPrepared<&[u8], B> {
-        GGSWCiphertextPrepared::builder()
-            .base2k(self.base2k())
-            .dsize(self.dsize())
-            .k(self.k())
-            .data(self.data.to_ref())
-            .build()
-            .unwrap()
+impl<D: DataRef, B: Backend> GGSWCiphertextPreparedToRef<B> for GGSWPrepared<D, B> {
+    fn to_ref(&self) -> GGSWPrepared<&[u8], B> {
+        GGSWPrepared {
+            base2k: self.base2k,
+            k: self.k,
+            dsize: self.dsize,
+            data: self.data.to_mut(),
+        }
     }
 }
diff --git a/poulpy-core/src/layouts/prepared/glwe_pk.rs b/poulpy-core/src/layouts/prepared/glwe_pk.rs
index 3211017..0cbbdd0 100644
--- a/poulpy-core/src/layouts/prepared/glwe_pk.rs
+++ b/poulpy-core/src/layouts/prepared/glwe_pk.rs
@@ -6,10 +6,7 @@ use poulpy_hal::{
 
 use crate::{
     dist::Distribution,
-    layouts::{
-        Base2K, BuildError, Degree, GLWEInfos, GLWEPublicKey, LWEInfos, Rank, TorusPrecision,
-        prepared::{Prepare, PrepareAlloc, PrepareScratchSpace},
-    },
+    layouts::{Base2K, BuildError, Degree, GLWEInfos, GLWEPublicKey, LWEInfos, Rank, TorusPrecision},
 };
 
 #[derive(PartialEq, Eq)]
diff --git a/poulpy-core/src/layouts/prepared/glwe_sk.rs b/poulpy-core/src/layouts/prepared/glwe_sk.rs
index 234ea2a..a8e436d 100644
--- a/poulpy-core/src/layouts/prepared/glwe_sk.rs
+++ b/poulpy-core/src/layouts/prepared/glwe_sk.rs
@@ -5,10 +5,7 @@ use poulpy_hal::{
 
 use crate::{
     dist::Distribution,
-    layouts::{
-        Base2K, Degree, GLWEInfos, GLWESecret, LWEInfos, Rank, TorusPrecision,
-        prepared::{Prepare, PrepareAlloc, PrepareScratchSpace},
-    },
+    layouts::{Base2K, Degree, GLWEInfos, GLWESecret, LWEInfos, Rank, TorusPrecision},
 };
 
 pub struct GLWESecretPrepared<D: Data, B: Backend> {
@@ -128,11 +125,11 @@ impl<D: DataRef, B: Backend> GLWESecretPreparedToRef<B> for GLWESecretPrepared<D
 }
 
 pub trait GLWESecretPreparedToMut<B: Backend> {
-    fn to_ref(&mut self) -> GLWESecretPrepared<&mut [u8], B>;
+    fn to_mut(&mut self) -> GLWESecretPrepared<&mut [u8], B>;
 }
 
 impl<D: DataMut, B: Backend> GLWESecretPreparedToMut<B> for GLWESecretPrepared<D, B> {
-    fn to_ref(&mut self) -> GLWESecretPrepared<&mut [u8], B> {
+    fn to_mut(&mut self) -> GLWESecretPrepared<&mut [u8], B> {
         GLWESecretPrepared {
             dist: self.dist,
             data: self.data.to_mut(),
diff --git a/poulpy-core/src/layouts/prepared/glwe_to_lwe_ksk.rs b/poulpy-core/src/layouts/prepared/glwe_to_lwe_ksk.rs
index f241c6d..cea8b41 100644
--- a/poulpy-core/src/layouts/prepared/glwe_to_lwe_ksk.rs
+++ b/poulpy-core/src/layouts/prepared/glwe_to_lwe_ksk.rs
@@ -4,12 +4,12 @@ use poulpy_hal::{
 };
 
 use crate::layouts::{
-    Base2K, Degree, Dnum, Dsize, GGLWEInfos, GLWEInfos, GLWEToLWEKey, LWEInfos, Rank, TorusPrecision,
-    prepared::{GGLWESwitchingKeyPrepared, Prepare, PrepareAlloc, PrepareScratchSpace},
+    Base2K, Degree, Dnum, Dsize, GGLWEInfos, GLWEInfos, GLWEToLWESwitchingKey, LWEInfos, Rank, TorusPrecision,
+    prepared::GLWESwitchingKeyPrepared,
 };
 
 #[derive(PartialEq, Eq)]
-pub struct GLWEToLWESwitchingKeyPrepared<D: Data, B: Backend>(pub(crate) GGLWESwitchingKeyPrepared<D, B>);
+pub struct GLWEToLWESwitchingKeyPrepared<D: Data, B: Backend>(pub(crate) GLWESwitchingKeyPrepared<D, B>);
 
 impl<D: Data, B: Backend> LWEInfos for GLWEToLWESwitchingKeyPrepared<D, B> {
     fn base2k(&self) -> Base2K {
@@ -69,14 +69,14 @@ impl<B: Backend> GLWEToLWESwitchingKeyPrepared<Vec<u8>, B> {
             1,
             "dsize > 1 is not supported for GLWEToLWESwitchingKeyPrepared"
         );
-        Self(GGLWESwitchingKeyPrepared::alloc(module, infos))
+        Self(GLWESwitchingKeyPrepared::alloc(module, infos))
     }
 
     pub fn alloc_with(module: &Module<B>, base2k: Base2K, k: TorusPrecision, rank_in: Rank, dnum: Dnum) -> Self
     where
         Module<B>: VmpPMatAlloc<B>,
     {
-        Self(GGLWESwitchingKeyPrepared::alloc_with(
+        Self(GLWESwitchingKeyPrepared::alloc_with(
             module,
             base2k,
             k,
@@ -102,27 +102,27 @@ impl<B: Backend> GLWEToLWESwitchingKeyPrepared<Vec<u8>, B> {
             1,
             "dsize > 1 is not supported for GLWEToLWESwitchingKeyPrepared"
         );
-        GGLWESwitchingKeyPrepared::alloc_bytes(module, infos)
+        GLWESwitchingKeyPrepared::alloc_bytes(module, infos)
     }
 
     pub fn alloc_bytes_with(module: &Module<B>, base2k: Base2K, k: TorusPrecision, rank_in: Rank, dnum: Dnum) -> usize
     where
         Module<B>: VmpPMatAllocBytes,
     {
-        GGLWESwitchingKeyPrepared::alloc_bytes_with(module, base2k, k, rank_in, Rank(1), dnum, Dsize(1))
+        GLWESwitchingKeyPrepared::alloc_bytes_with(module, base2k, k, rank_in, Rank(1), dnum, Dsize(1))
     }
 }
 
 impl<B: Backend, A: GGLWEInfos> PrepareScratchSpace<B, A> for GLWEToLWESwitchingKeyPrepared<Vec<u8>, B>
 where
-    GGLWESwitchingKeyPrepared<Vec<u8>, B>: PrepareScratchSpace<B, A>,
+    GLWESwitchingKeyPrepared<Vec<u8>, B>: PrepareScratchSpace<B, A>,
 {
     fn prepare_scratch_space(module: &Module<B>, infos: &A) -> usize {
-        GGLWESwitchingKeyPrepared::prepare_scratch_space(module, infos)
+        GLWESwitchingKeyPrepared::prepare_scratch_space(module, infos)
     }
 }
 
-impl<D: DataRef, B: Backend> PrepareAlloc<B, GLWEToLWESwitchingKeyPrepared<Vec<u8>, B>> for GLWEToLWEKey<D>
+impl<D: DataRef, B: Backend> PrepareAlloc<B, GLWEToLWESwitchingKeyPrepared<Vec<u8>, B>> for GLWEToLWESwitchingKey<D>
 where
     Module<B>: VmpPrepare<B> + VmpPMatAlloc<B>,
 {
@@ -133,11 +133,11 @@ where
     }
 }
 
-impl<DM: DataMut, DR: DataRef, B: Backend> Prepare<B, GLWEToLWEKey<DR>> for GLWEToLWESwitchingKeyPrepared<DM, B>
+impl<DM: DataMut, DR: DataRef, B: Backend> Prepare<B, GLWEToLWESwitchingKey<DR>> for GLWEToLWESwitchingKeyPrepared<DM, B>
 where
     Module<B>: VmpPrepare<B>,
 {
-    fn prepare(&mut self, module: &Module<B>, other: &GLWEToLWEKey<DR>, scratch: &mut Scratch<B>) {
+    fn prepare(&mut self, module: &Module<B>, other: &GLWEToLWESwitchingKey<DR>, scratch: &mut Scratch<B>) {
         self.0.prepare(module, &other.0, scratch);
     }
 }
diff --git a/poulpy-core/src/layouts/prepared/lwe_ksk.rs b/poulpy-core/src/layouts/prepared/lwe_ksk.rs
index 5f0cf14..8e21f23 100644
--- a/poulpy-core/src/layouts/prepared/lwe_ksk.rs
+++ b/poulpy-core/src/layouts/prepared/lwe_ksk.rs
@@ -5,11 +5,11 @@ use poulpy_hal::{
 
 use crate::layouts::{
     Base2K, Degree, Dnum, Dsize, GGLWEInfos, GLWEInfos, LWEInfos, LWESwitchingKey, Rank, TorusPrecision,
-    prepared::{GGLWESwitchingKeyPrepared, Prepare, PrepareAlloc, PrepareScratchSpace},
+    prepared::GLWESwitchingKeyPrepared,
 };
 
 #[derive(PartialEq, Eq)]
-pub struct LWESwitchingKeyPrepared<D: Data, B: Backend>(pub(crate) GGLWESwitchingKeyPrepared<D, B>);
+pub struct LWESwitchingKeyPrepared<D: Data, B: Backend>(pub(crate) GLWESwitchingKeyPrepared<D, B>);
 
 impl<D: Data, B: Backend> LWEInfos for LWESwitchingKeyPrepared<D, B> {
     fn base2k(&self) -> Base2K {
@@ -73,14 +73,14 @@ impl<B: Backend> LWESwitchingKeyPrepared<Vec<u8>, B> {
             1,
             "rank_out > 1 is not supported for LWESwitchingKey"
         );
-        Self(GGLWESwitchingKeyPrepared::alloc(module, infos))
+        Self(GLWESwitchingKeyPrepared::alloc(module, infos))
     }
 
     pub fn alloc_with(module: &Module<B>, base2k: Base2K, k: TorusPrecision, dnum: Dnum) -> Self
     where
         Module<B>: VmpPMatAlloc<B>,
     {
-        Self(GGLWESwitchingKeyPrepared::alloc_with(
+        Self(GLWESwitchingKeyPrepared::alloc_with(
             module,
             base2k,
             k,
@@ -111,23 +111,23 @@ impl<B: Backend> LWESwitchingKeyPrepared<Vec<u8>, B> {
             1,
             "rank_out > 1 is not supported for LWESwitchingKey"
         );
-        GGLWESwitchingKeyPrepared::alloc_bytes(module, infos)
+        GLWESwitchingKeyPrepared::alloc_bytes(module, infos)
     }
 
     pub fn alloc_bytes_with(module: &Module<B>, base2k: Base2K, k: TorusPrecision, dnum: Dnum) -> usize
     where
         Module<B>: VmpPMatAllocBytes,
     {
-        GGLWESwitchingKeyPrepared::alloc_bytes_with(module, base2k, k, Rank(1), Rank(1), dnum, Dsize(1))
+        GLWESwitchingKeyPrepared::alloc_bytes_with(module, base2k, k, Rank(1), Rank(1), dnum, Dsize(1))
     }
 }
 
 impl<B: Backend, A: GGLWEInfos> PrepareScratchSpace<B, A> for LWESwitchingKeyPrepared<Vec<u8>, B>
 where
-    GGLWESwitchingKeyPrepared<Vec<u8>, B>: PrepareScratchSpace<B, A>,
+    GLWESwitchingKeyPrepared<Vec<u8>, B>: PrepareScratchSpace<B, A>,
 {
     fn prepare_scratch_space(module: &Module<B>, infos: &A) -> usize {
-        GGLWESwitchingKeyPrepared::prepare_scratch_space(module, infos)
+        GLWESwitchingKeyPrepared::prepare_scratch_space(module, infos)
     }
 }
 
diff --git a/poulpy-core/src/layouts/prepared/lwe_to_glwe_ksk.rs b/poulpy-core/src/layouts/prepared/lwe_to_glwe_ksk.rs
index 7c2023a..253c8cc 100644
--- a/poulpy-core/src/layouts/prepared/lwe_to_glwe_ksk.rs
+++ b/poulpy-core/src/layouts/prepared/lwe_to_glwe_ksk.rs
@@ -5,12 +5,12 @@ use poulpy_hal::{
 
 use crate::layouts::{
     Base2K, Degree, Dnum, Dsize, GGLWEInfos, GLWEInfos, LWEInfos, LWEToGLWESwitchingKey, Rank, TorusPrecision,
-    prepared::{GGLWESwitchingKeyPrepared, Prepare, PrepareAlloc, PrepareScratchSpace},
+    prepared::GLWESwitchingKeyPrepared,
 };
 
 /// A special [GLWESwitchingKey] required to for the conversion from [LWECiphertext] to [GLWECiphertext].
 #[derive(PartialEq, Eq)]
-pub struct LWEToGLWESwitchingKeyPrepared<D: Data, B: Backend>(pub(crate) GGLWESwitchingKeyPrepared<D, B>);
+pub struct LWEToGLWESwitchingKeyPrepared<D: Data, B: Backend>(pub(crate) GLWESwitchingKeyPrepared<D, B>);
 
 impl<D: Data, B: Backend> LWEInfos for LWEToGLWESwitchingKeyPrepared<D, B> {
     fn base2k(&self) -> Base2K {
@@ -70,14 +70,14 @@ impl<B: Backend> LWEToGLWESwitchingKeyPrepared<Vec<u8>, B> {
             1,
             "dsize > 1 is not supported for LWEToGLWESwitchingKey"
         );
-        Self(GGLWESwitchingKeyPrepared::alloc(module, infos))
+        Self(GLWESwitchingKeyPrepared::alloc(module, infos))
     }
 
     pub fn alloc_with(module: &Module<B>, base2k: Base2K, k: TorusPrecision, rank_out: Rank, dnum: Dnum) -> Self
     where
         Module<B>: VmpPMatAlloc<B>,
     {
-        Self(GGLWESwitchingKeyPrepared::alloc_with(
+        Self(GLWESwitchingKeyPrepared::alloc_with(
             module,
             base2k,
             k,
@@ -103,23 +103,23 @@ impl<B: Backend> LWEToGLWESwitchingKeyPrepared<Vec<u8>, B> {
             1,
             "dsize > 1 is not supported for LWEToGLWESwitchingKey"
         );
-        GGLWESwitchingKeyPrepared::alloc_bytes(module, infos)
+        GLWESwitchingKeyPrepared::alloc_bytes(module, infos)
     }
 
     pub fn alloc_bytes_with(module: &Module<B>, base2k: Base2K, k: TorusPrecision, dnum: Dnum, rank_out: Rank) -> usize
     where
         Module<B>: VmpPMatAllocBytes,
     {
-        GGLWESwitchingKeyPrepared::alloc_bytes_with(module, base2k, k, Rank(1), rank_out, dnum, Dsize(1))
+        GLWESwitchingKeyPrepared::alloc_bytes_with(module, base2k, k, Rank(1), rank_out, dnum, Dsize(1))
     }
 }
 
 impl<B: Backend, A: GGLWEInfos> PrepareScratchSpace<B, A> for LWEToGLWESwitchingKeyPrepared<Vec<u8>, B>
 where
-    GGLWESwitchingKeyPrepared<Vec<u8>, B>: PrepareScratchSpace<B, A>,
+    GLWESwitchingKeyPrepared<Vec<u8>, B>: PrepareScratchSpace<B, A>,
 {
     fn prepare_scratch_space(module: &Module<B>, infos: &A) -> usize {
-        GGLWESwitchingKeyPrepared::prepare_scratch_space(module, infos)
+        GLWESwitchingKeyPrepared::prepare_scratch_space(module, infos)
     }
 }
 
diff --git a/poulpy-core/src/layouts/prepared/mod.rs b/poulpy-core/src/layouts/prepared/mod.rs
index eb47848..296144a 100644
--- a/poulpy-core/src/layouts/prepared/mod.rs
+++ b/poulpy-core/src/layouts/prepared/mod.rs
@@ -19,16 +19,3 @@ pub use glwe_sk::*;
 pub use glwe_to_lwe_ksk::*;
 pub use lwe_ksk::*;
 pub use lwe_to_glwe_ksk::*;
-use poulpy_hal::layouts::{Backend, Module, Scratch};
-
-pub trait PrepareScratchSpace<B: Backend, T> {
-    fn prepare_scratch_space(module: &Module<B>, infos: &T) -> usize;
-}
-
-pub trait PrepareAlloc<B: Backend, T> {
-    fn prepare_alloc(&self, module: &Module<B>, scratch: &mut Scratch<B>) -> T;
-}
-
-pub trait Prepare<B: Backend, T> {
-    fn prepare(&mut self, module: &Module<B>, other: &T, scratch: &mut Scratch<B>);
-}
diff --git a/poulpy-core/src/noise/gglwe_ct.rs b/poulpy-core/src/noise/gglwe_ct.rs
index 0712b7f..70a8ef3 100644
--- a/poulpy-core/src/noise/gglwe_ct.rs
+++ b/poulpy-core/src/noise/gglwe_ct.rs
@@ -8,9 +8,9 @@ use poulpy_hal::{
     oep::{ScratchOwnedAllocImpl, ScratchOwnedBorrowImpl, TakeVecZnxBigImpl, TakeVecZnxDftImpl},
 };
 
-use crate::layouts::{GGLWECiphertext, GGLWEInfos, GLWECiphertext, GLWEPlaintext, LWEInfos, prepared::GLWESecretPrepared};
+use crate::layouts::{GGLWE, GGLWEInfos, GLWECiphertext, GLWEPlaintext, LWEInfos, prepared::GLWESecretPrepared};
 
-impl<D: DataRef> GGLWECiphertext<D> {
+impl<D: DataRef> GGLWE<D> {
     pub fn assert_noise<B, DataSk, DataWant>(
         &self,
         module: &Module<B>,
diff --git a/poulpy-core/src/noise/ggsw_ct.rs b/poulpy-core/src/noise/ggsw_ct.rs
index 03bb0c0..84a2f87 100644
--- a/poulpy-core/src/noise/ggsw_ct.rs
+++ b/poulpy-core/src/noise/ggsw_ct.rs
@@ -9,11 +9,9 @@ use poulpy_hal::{
     oep::{ScratchOwnedAllocImpl, ScratchOwnedBorrowImpl, TakeVecZnxBigImpl, TakeVecZnxDftImpl},
 };
 
-use crate::layouts::{
-    GGSWCiphertext, GGSWInfos, GLWECiphertext, GLWEInfos, GLWEPlaintext, LWEInfos, prepared::GLWESecretPrepared,
-};
+use crate::layouts::{GGSW, GGSWInfos, GLWECiphertext, GLWEInfos, GLWEPlaintext, LWEInfos, prepared::GLWESecretPrepared};
 
-impl<D: DataRef> GGSWCiphertext<D> {
+impl<D: DataRef> GGSW<D> {
     pub fn assert_noise<B, DataSk, DataScalar, F>(
         &self,
         module: &Module<B>,
@@ -87,7 +85,7 @@ impl<D: DataRef> GGSWCiphertext<D> {
     }
 }
 
-impl<D: DataRef> GGSWCiphertext<D> {
+impl<D: DataRef> GGSW<D> {
     pub fn print_noise<B, DataSk, DataScalar>(
         &self,
         module: &Module<B>,
diff --git a/poulpy-core/src/scratch.rs b/poulpy-core/src/scratch.rs
index 1a5a6ce..0a94b39 100644
--- a/poulpy-core/src/scratch.rs
+++ b/poulpy-core/src/scratch.rs
@@ -6,11 +6,11 @@ use poulpy_hal::{
 use crate::{
     dist::Distribution,
     layouts::{
-        Degree, GGLWEAutomorphismKey, GGLWECiphertext, GGLWEInfos, GGLWESwitchingKey, GGLWETensorKey, GGSWCiphertext, GGSWInfos,
-        GLWECiphertext, GLWEInfos, GLWEPlaintext, GLWEPublicKey, GLWESecret, Rank,
+        AutomorphismKey, Degree, GGLWE, GGLWEInfos, GGSW, GGSWInfos, GLWECiphertext, GLWEInfos, GLWEPlaintext, GLWEPublicKey,
+        GLWESecret, GLWESwitchingKey, Rank, TensorKey,
         prepared::{
-            GGLWEAutomorphismKeyPrepared, GGLWECiphertextPrepared, GGLWESwitchingKeyPrepared, GGLWETensorKeyPrepared,
-            GGSWCiphertextPrepared, GLWEPublicKeyPrepared, GLWESecretPrepared,
+            AutomorphismKeyPrepared, GGLWEPrepared, GGSWPrepared, GLWEPublicKeyPrepared, GLWESecretPrepared,
+            GLWESwitchingKeyPrepared, TensorKeyPrepared,
         },
     },
 };
@@ -34,31 +34,31 @@ pub trait TakeGLWEPt<B: Backend> {
 }
 
 pub trait TakeGGLWE {
-    fn take_gglwe<A>(&mut self, infos: &A) -> (GGLWECiphertext<&mut [u8]>, &mut Self)
+    fn take_gglwe<A>(&mut self, infos: &A) -> (GGLWE<&mut [u8]>, &mut Self)
     where
         A: GGLWEInfos;
 }
 
 pub trait TakeGGLWEPrepared<B: Backend> {
-    fn take_gglwe_prepared<A>(&mut self, infos: &A) -> (GGLWECiphertextPrepared<&mut [u8], B>, &mut Self)
+    fn take_gglwe_prepared<A>(&mut self, infos: &A) -> (GGLWEPrepared<&mut [u8], B>, &mut Self)
     where
         A: GGLWEInfos;
 }
 
 pub trait TakeGGSW {
-    fn take_ggsw<A>(&mut self, infos: &A) -> (GGSWCiphertext<&mut [u8]>, &mut Self)
+    fn take_ggsw<A>(&mut self, infos: &A) -> (GGSW<&mut [u8]>, &mut Self)
     where
         A: GGSWInfos;
 }
 
 pub trait TakeGGSWPrepared<B: Backend> {
-    fn take_ggsw_prepared<A>(&mut self, infos: &A) -> (GGSWCiphertextPrepared<&mut [u8], B>, &mut Self)
+    fn take_ggsw_prepared<A>(&mut self, infos: &A) -> (GGSWPrepared<&mut [u8], B>, &mut Self)
     where
         A: GGSWInfos;
 }
 
 pub trait TakeGGSWPreparedSlice<B: Backend> {
-    fn take_ggsw_prepared_slice<A>(&mut self, size: usize, infos: &A) -> (Vec<GGSWCiphertextPrepared<&mut [u8], B>>, &mut Self)
+    fn take_ggsw_prepared_slice<A>(&mut self, size: usize, infos: &A) -> (Vec<GGSWPrepared<&mut [u8], B>>, &mut Self)
     where
         A: GGSWInfos;
 }
@@ -84,37 +84,37 @@ pub trait TakeGLWEPkPrepared<B: Backend> {
 }
 
 pub trait TakeGLWESwitchingKey {
-    fn take_glwe_switching_key<A>(&mut self, infos: &A) -> (GGLWESwitchingKey<&mut [u8]>, &mut Self)
+    fn take_glwe_switching_key<A>(&mut self, infos: &A) -> (GLWESwitchingKey<&mut [u8]>, &mut Self)
     where
         A: GGLWEInfos;
 }
 
 pub trait TakeGGLWESwitchingKeyPrepared<B: Backend> {
-    fn take_gglwe_switching_key_prepared<A>(&mut self, infos: &A) -> (GGLWESwitchingKeyPrepared<&mut [u8], B>, &mut Self)
+    fn take_gglwe_switching_key_prepared<A>(&mut self, infos: &A) -> (GLWESwitchingKeyPrepared<&mut [u8], B>, &mut Self)
     where
         A: GGLWEInfos;
 }
 
 pub trait TakeTensorKey {
-    fn take_tensor_key<A>(&mut self, infos: &A) -> (GGLWETensorKey<&mut [u8]>, &mut Self)
+    fn take_tensor_key<A>(&mut self, infos: &A) -> (TensorKey<&mut [u8]>, &mut Self)
     where
         A: GGLWEInfos;
 }
 
 pub trait TakeGGLWETensorKeyPrepared<B: Backend> {
-    fn take_gglwe_tensor_key_prepared<A>(&mut self, infos: &A) -> (GGLWETensorKeyPrepared<&mut [u8], B>, &mut Self)
+    fn take_gglwe_tensor_key_prepared<A>(&mut self, infos: &A) -> (TensorKeyPrepared<&mut [u8], B>, &mut Self)
     where
         A: GGLWEInfos;
 }
 
 pub trait TakeGGLWEAutomorphismKey {
-    fn take_gglwe_automorphism_key<A>(&mut self, infos: &A) -> (GGLWEAutomorphismKey<&mut [u8]>, &mut Self)
+    fn take_gglwe_automorphism_key<A>(&mut self, infos: &A) -> (AutomorphismKey<&mut [u8]>, &mut Self)
     where
         A: GGLWEInfos;
 }
 
 pub trait TakeGGLWEAutomorphismKeyPrepared<B: Backend> {
-    fn take_gglwe_automorphism_key_prepared<A>(&mut self, infos: &A) -> (GGLWEAutomorphismKeyPrepared<&mut [u8], B>, &mut Self)
+    fn take_gglwe_automorphism_key_prepared<A>(&mut self, infos: &A) -> (AutomorphismKeyPrepared<&mut [u8], B>, &mut Self)
     where
         A: GGLWEInfos;
 }
@@ -184,7 +184,7 @@ impl<B: Backend> TakeGGLWE for Scratch<B>
 where
     Scratch<B>: TakeMatZnx,
 {
-    fn take_gglwe<A>(&mut self, infos: &A) -> (GGLWECiphertext<&mut [u8]>, &mut Self)
+    fn take_gglwe<A>(&mut self, infos: &A) -> (GGLWE<&mut [u8]>, &mut Self)
     where
         A: GGLWEInfos,
     {
@@ -196,7 +196,7 @@ where
             infos.size(),
         );
         (
-            GGLWECiphertext::builder()
+            GGLWE::builder()
                 .base2k(infos.base2k())
                 .k(infos.k())
                 .dsize(infos.dsize())
@@ -212,7 +212,7 @@ impl<B: Backend> TakeGGLWEPrepared<B> for Scratch<B>
 where
     Scratch<B>: TakeVmpPMat<B>,
 {
-    fn take_gglwe_prepared<A>(&mut self, infos: &A) -> (GGLWECiphertextPrepared<&mut [u8], B>, &mut Self)
+    fn take_gglwe_prepared<A>(&mut self, infos: &A) -> (GGLWEPrepared<&mut [u8], B>, &mut Self)
     where
         A: GGLWEInfos,
     {
@@ -224,7 +224,7 @@ where
             infos.size(),
         );
         (
-            GGLWECiphertextPrepared::builder()
+            GGLWEPrepared::builder()
                 .base2k(infos.base2k())
                 .dsize(infos.dsize())
                 .k(infos.k())
@@ -240,7 +240,7 @@ impl<B: Backend> TakeGGSW for Scratch<B>
 where
     Scratch<B>: TakeMatZnx,
 {
-    fn take_ggsw<A>(&mut self, infos: &A) -> (GGSWCiphertext<&mut [u8]>, &mut Self)
+    fn take_ggsw<A>(&mut self, infos: &A) -> (GGSW<&mut [u8]>, &mut Self)
     where
         A: GGSWInfos,
     {
@@ -252,7 +252,7 @@ where
             infos.size(),
         );
         (
-            GGSWCiphertext::builder()
+            GGSW::builder()
                 .base2k(infos.base2k())
                 .dsize(infos.dsize())
                 .k(infos.k())
@@ -268,7 +268,7 @@ impl<B: Backend> TakeGGSWPrepared<B> for Scratch<B>
 where
     Scratch<B>: TakeVmpPMat<B>,
 {
-    fn take_ggsw_prepared<A>(&mut self, infos: &A) -> (GGSWCiphertextPrepared<&mut [u8], B>, &mut Self)
+    fn take_ggsw_prepared<A>(&mut self, infos: &A) -> (GGSWPrepared<&mut [u8], B>, &mut Self)
     where
         A: GGSWInfos,
     {
@@ -280,7 +280,7 @@ where
             infos.size(),
         );
         (
-            GGSWCiphertextPrepared::builder()
+            GGSWPrepared::builder()
                 .base2k(infos.base2k())
                 .dsize(infos.dsize())
                 .k(infos.k())
@@ -296,12 +296,12 @@ impl<B: Backend> TakeGGSWPreparedSlice<B> for Scratch<B>
 where
     Scratch<B>: TakeGGSWPrepared<B>,
 {
-    fn take_ggsw_prepared_slice<A>(&mut self, size: usize, infos: &A) -> (Vec<GGSWCiphertextPrepared<&mut [u8], B>>, &mut Self)
+    fn take_ggsw_prepared_slice<A>(&mut self, size: usize, infos: &A) -> (Vec<GGSWPrepared<&mut [u8], B>>, &mut Self)
     where
         A: GGSWInfos,
     {
         let mut scratch: &mut Scratch<B> = self;
-        let mut cts: Vec<GGSWCiphertextPrepared<&mut [u8], B>> = Vec::with_capacity(size);
+        let mut cts: Vec<GGSWPrepared<&mut [u8], B>> = Vec::with_capacity(size);
         for _ in 0..size {
             let (ct, new_scratch) = scratch.take_ggsw_prepared(infos);
             scratch = new_scratch;
@@ -390,13 +390,13 @@ impl<B: Backend> TakeGLWESwitchingKey for Scratch<B>
 where
     Scratch<B>: TakeMatZnx,
 {
-    fn take_glwe_switching_key<A>(&mut self, infos: &A) -> (GGLWESwitchingKey<&mut [u8]>, &mut Self)
+    fn take_glwe_switching_key<A>(&mut self, infos: &A) -> (GLWESwitchingKey<&mut [u8]>, &mut Self)
     where
         A: GGLWEInfos,
     {
         let (data, scratch) = self.take_gglwe(infos);
         (
-            GGLWESwitchingKey {
+            GLWESwitchingKey {
                 key: data,
                 sk_in_n: 0,
                 sk_out_n: 0,
@@ -410,13 +410,13 @@ impl<B: Backend> TakeGGLWESwitchingKeyPrepared<B> for Scratch<B>
 where
     Scratch<B>: TakeGGLWEPrepared<B>,
 {
-    fn take_gglwe_switching_key_prepared<A>(&mut self, infos: &A) -> (GGLWESwitchingKeyPrepared<&mut [u8], B>, &mut Self)
+    fn take_gglwe_switching_key_prepared<A>(&mut self, infos: &A) -> (GLWESwitchingKeyPrepared<&mut [u8], B>, &mut Self)
     where
         A: GGLWEInfos,
     {
         let (data, scratch) = self.take_gglwe_prepared(infos);
         (
-            GGLWESwitchingKeyPrepared {
+            GLWESwitchingKeyPrepared {
                 key: data,
                 sk_in_n: 0,
                 sk_out_n: 0,
@@ -430,12 +430,12 @@ impl<B: Backend> TakeGGLWEAutomorphismKey for Scratch<B>
 where
     Scratch<B>: TakeMatZnx,
 {
-    fn take_gglwe_automorphism_key<A>(&mut self, infos: &A) -> (GGLWEAutomorphismKey<&mut [u8]>, &mut Self)
+    fn take_gglwe_automorphism_key<A>(&mut self, infos: &A) -> (AutomorphismKey<&mut [u8]>, &mut Self)
     where
         A: GGLWEInfos,
     {
         let (data, scratch) = self.take_glwe_switching_key(infos);
-        (GGLWEAutomorphismKey { key: data, p: 0 }, scratch)
+        (AutomorphismKey { key: data, p: 0 }, scratch)
     }
 }
 
@@ -443,12 +443,12 @@ impl<B: Backend> TakeGGLWEAutomorphismKeyPrepared<B> for Scratch<B>
 where
     Scratch<B>: TakeGGLWESwitchingKeyPrepared<B>,
 {
-    fn take_gglwe_automorphism_key_prepared<A>(&mut self, infos: &A) -> (GGLWEAutomorphismKeyPrepared<&mut [u8], B>, &mut Self)
+    fn take_gglwe_automorphism_key_prepared<A>(&mut self, infos: &A) -> (AutomorphismKeyPrepared<&mut [u8], B>, &mut Self)
     where
         A: GGLWEInfos,
     {
         let (data, scratch) = self.take_gglwe_switching_key_prepared(infos);
-        (GGLWEAutomorphismKeyPrepared { key: data, p: 0 }, scratch)
+        (AutomorphismKeyPrepared { key: data, p: 0 }, scratch)
     }
 }
 
@@ -456,7 +456,7 @@ impl<B: Backend> TakeTensorKey for Scratch<B>
 where
     Scratch<B>: TakeMatZnx,
 {
-    fn take_tensor_key<A>(&mut self, infos: &A) -> (GGLWETensorKey<&mut [u8]>, &mut Self)
+    fn take_tensor_key<A>(&mut self, infos: &A) -> (TensorKey<&mut [u8]>, &mut Self)
     where
         A: GGLWEInfos,
     {
@@ -465,7 +465,7 @@ where
             infos.rank_out(),
             "rank_in != rank_out is not supported for GGLWETensorKey"
         );
-        let mut keys: Vec<GGLWESwitchingKey<&mut [u8]>> = Vec::new();
+        let mut keys: Vec<GLWESwitchingKey<&mut [u8]>> = Vec::new();
         let pairs: usize = (((infos.rank_out().0 + 1) * infos.rank_out().0) >> 1).max(1) as usize;
 
         let mut scratch: &mut Scratch<B> = self;
@@ -483,7 +483,7 @@ where
             scratch = s;
             keys.push(gglwe);
         }
-        (GGLWETensorKey { keys }, scratch)
+        (TensorKey { keys }, scratch)
     }
 }
 
@@ -491,7 +491,7 @@ impl<B: Backend> TakeGGLWETensorKeyPrepared<B> for Scratch<B>
 where
     Scratch<B>: TakeVmpPMat<B>,
 {
-    fn take_gglwe_tensor_key_prepared<A>(&mut self, infos: &A) -> (GGLWETensorKeyPrepared<&mut [u8], B>, &mut Self)
+    fn take_gglwe_tensor_key_prepared<A>(&mut self, infos: &A) -> (TensorKeyPrepared<&mut [u8], B>, &mut Self)
     where
         A: GGLWEInfos,
     {
@@ -501,7 +501,7 @@ where
             "rank_in != rank_out is not supported for GGLWETensorKeyPrepared"
         );
 
-        let mut keys: Vec<GGLWESwitchingKeyPrepared<&mut [u8], B>> = Vec::new();
+        let mut keys: Vec<GLWESwitchingKeyPrepared<&mut [u8], B>> = Vec::new();
         let pairs: usize = (((infos.rank_out().0 + 1) * infos.rank_out().0) >> 1).max(1) as usize;
 
         let mut scratch: &mut Scratch<B> = self;
@@ -519,6 +519,6 @@ where
             scratch = s;
             keys.push(gglwe);
         }
-        (GGLWETensorKeyPrepared { keys }, scratch)
+        (TensorKeyPrepared { keys }, scratch)
     }
 }
diff --git a/poulpy-core/src/tests/serialization.rs b/poulpy-core/src/tests/serialization.rs
index 6e08395..50dc0d6 100644
--- a/poulpy-core/src/tests/serialization.rs
+++ b/poulpy-core/src/tests/serialization.rs
@@ -1,12 +1,12 @@
 use poulpy_hal::test_suite::serialization::test_reader_writer_interface;
 
 use crate::layouts::{
-    Base2K, Degree, Dnum, Dsize, GGLWEAutomorphismKey, GGLWECiphertext, GGLWESwitchingKey, GGLWETensorKey, GGSWCiphertext,
-    GLWECiphertext, GLWEToLWEKey, LWECiphertext, LWESwitchingKey, LWEToGLWESwitchingKey, Rank, TorusPrecision,
+    AutomorphismKey, Base2K, Degree, Dnum, Dsize, GGLWE, GGSW, GLWECiphertext, GLWESwitchingKey, GLWEToLWESwitchingKey,
+    LWECiphertext, LWESwitchingKey, LWEToGLWESwitchingKey, Rank, TensorKey, TorusPrecision,
     compressed::{
-        GGLWEAutomorphismKeyCompressed, GGLWECiphertextCompressed, GGLWEKeyCompressed, GGLWETensorKeyCompressed,
-        GGSWCiphertextCompressed, GLWECiphertextCompressed, GLWEToLWESwitchingKeyCompressed, LWECiphertextCompressed,
-        LWESwitchingKeyCompressed, LWEToGLWESwitchingKeyCompressed,
+        AutomorphismKeyCompressed, GGLWECiphertextCompressed, GGSWCiphertextCompressed, GLWECiphertextCompressed,
+        GLWESwitchingKeyCompressed, GLWEToLWESwitchingKeyCompressed, LWECiphertextCompressed, LWESwitchingKeyCompressed,
+        LWEToGLWESwitchingKeyCompressed, TensorKeyCompressed,
     },
 };
 
@@ -44,7 +44,7 @@ fn lwe_compressed_serialization() {
 
 #[test]
 fn test_gglwe_serialization() {
-    let original: GGLWECiphertext<Vec<u8>> = GGLWECiphertext::alloc_with(N_GLWE, BASE2K, K, RANK, RANK, DNUM, DSIZE);
+    let original: GGLWE<Vec<u8>> = GGLWE::alloc_with(N_GLWE, BASE2K, K, RANK, RANK, DNUM, DSIZE);
     test_reader_writer_interface(original);
 }
 
@@ -57,44 +57,45 @@ fn test_gglwe_compressed_serialization() {
 
 #[test]
 fn test_glwe_switching_key_serialization() {
-    let original: GGLWESwitchingKey<Vec<u8>> = GGLWESwitchingKey::alloc_with(N_GLWE, BASE2K, K, RANK, RANK, DNUM, DSIZE);
+    let original: GLWESwitchingKey<Vec<u8>> = GLWESwitchingKey::alloc_with(N_GLWE, BASE2K, K, RANK, RANK, DNUM, DSIZE);
     test_reader_writer_interface(original);
 }
 
 #[test]
 fn test_glwe_switching_key_compressed_serialization() {
-    let original: GGLWEKeyCompressed<Vec<u8>> = GGLWEKeyCompressed::alloc_with(N_GLWE, BASE2K, K, RANK, RANK, DNUM, DSIZE);
+    let original: GLWESwitchingKeyCompressed<Vec<u8>> =
+        GLWESwitchingKeyCompressed::alloc_with(N_GLWE, BASE2K, K, RANK, RANK, DNUM, DSIZE);
     test_reader_writer_interface(original);
 }
 
 #[test]
 fn test_automorphism_key_serialization() {
-    let original: GGLWEAutomorphismKey<Vec<u8>> = GGLWEAutomorphismKey::alloc_with(N_GLWE, BASE2K, K, RANK, DNUM, DSIZE);
+    let original: AutomorphismKey<Vec<u8>> = AutomorphismKey::alloc_with(N_GLWE, BASE2K, K, RANK, DNUM, DSIZE);
     test_reader_writer_interface(original);
 }
 
 #[test]
 fn test_automorphism_key_compressed_serialization() {
-    let original: GGLWEAutomorphismKeyCompressed<Vec<u8>> =
-        GGLWEAutomorphismKeyCompressed::alloc_with(N_GLWE, BASE2K, K, RANK, DNUM, DSIZE);
+    let original: AutomorphismKeyCompressed<Vec<u8>> =
+        AutomorphismKeyCompressed::alloc_with(N_GLWE, BASE2K, K, RANK, DNUM, DSIZE);
     test_reader_writer_interface(original);
 }
 
 #[test]
 fn test_tensor_key_serialization() {
-    let original: GGLWETensorKey<Vec<u8>> = GGLWETensorKey::alloc_with(N_GLWE, BASE2K, K, RANK, DNUM, DSIZE);
+    let original: TensorKey<Vec<u8>> = TensorKey::alloc_with(N_GLWE, BASE2K, K, RANK, DNUM, DSIZE);
     test_reader_writer_interface(original);
 }
 
 #[test]
 fn test_tensor_key_compressed_serialization() {
-    let original: GGLWETensorKeyCompressed<Vec<u8>> = GGLWETensorKeyCompressed::alloc_with(N_GLWE, BASE2K, K, RANK, DNUM, DSIZE);
+    let original: TensorKeyCompressed<Vec<u8>> = TensorKeyCompressed::alloc_with(N_GLWE, BASE2K, K, RANK, DNUM, DSIZE);
     test_reader_writer_interface(original);
 }
 
 #[test]
 fn glwe_to_lwe_switching_key_serialization() {
-    let original: GLWEToLWEKey<Vec<u8>> = GLWEToLWEKey::alloc_with(N_GLWE, BASE2K, K, RANK, DNUM);
+    let original: GLWEToLWESwitchingKey<Vec<u8>> = GLWEToLWESwitchingKey::alloc_with(N_GLWE, BASE2K, K, RANK, DNUM);
     test_reader_writer_interface(original);
 }
 
@@ -132,7 +133,7 @@ fn lwe_switching_key_compressed_serialization() {
 
 #[test]
 fn ggsw_serialization() {
-    let original: GGSWCiphertext<Vec<u8>> = GGSWCiphertext::alloc_with(N_GLWE, BASE2K, K, RANK, DNUM, DSIZE);
+    let original: GGSW<Vec<u8>> = GGSW::alloc_with(N_GLWE, BASE2K, K, RANK, DNUM, DSIZE);
     test_reader_writer_interface(original);
 }
 
diff --git a/poulpy-core/src/tests/test_suite/automorphism/gglwe_atk.rs b/poulpy-core/src/tests/test_suite/automorphism/gglwe_atk.rs
index 1dd3e58..34fccab 100644
--- a/poulpy-core/src/tests/test_suite/automorphism/gglwe_atk.rs
+++ b/poulpy-core/src/tests/test_suite/automorphism/gglwe_atk.rs
@@ -18,8 +18,8 @@ use poulpy_hal::{
 use crate::{
     encryption::SIGMA,
     layouts::{
-        GGLWEAutomorphismKey, GGLWEAutomorphismKeyLayout, GGLWEInfos, GLWEPlaintext, GLWESecret,
-        prepared::{GGLWEAutomorphismKeyPrepared, GLWESecretPrepared, Prepare, PrepareAlloc},
+        AutomorphismKey, AutomorphismKeyLayout, GGLWEInfos, GLWEPlaintext, GLWESecret,
+        prepared::{AutomorphismKeyPrepared, GLWESecretPrepared, Prepare, PrepareAlloc},
     },
     noise::log2_std_noise_gglwe_product,
 };
@@ -84,7 +84,7 @@ where
             let dnum_out: usize = k_out / (base2k * di);
             let dnum_apply: usize = k_in.div_ceil(base2k * di);
 
-            let auto_key_in_infos: GGLWEAutomorphismKeyLayout = GGLWEAutomorphismKeyLayout {
+            let auto_key_in_infos: AutomorphismKeyLayout = AutomorphismKeyLayout {
                 n: n.into(),
                 base2k: base2k.into(),
                 k: k_in.into(),
@@ -93,7 +93,7 @@ where
                 rank: rank.into(),
             };
 
-            let auto_key_out_infos: GGLWEAutomorphismKeyLayout = GGLWEAutomorphismKeyLayout {
+            let auto_key_out_infos: AutomorphismKeyLayout = AutomorphismKeyLayout {
                 n: n.into(),
                 base2k: base2k.into(),
                 k: k_out.into(),
@@ -102,7 +102,7 @@ where
                 rank: rank.into(),
             };
 
-            let auto_key_apply_infos: GGLWEAutomorphismKeyLayout = GGLWEAutomorphismKeyLayout {
+            let auto_key_apply_infos: AutomorphismKeyLayout = AutomorphismKeyLayout {
                 n: n.into(),
                 base2k: base2k.into(),
                 k: k_apply.into(),
@@ -111,18 +111,18 @@ where
                 rank: rank.into(),
             };
 
-            let mut auto_key_in: GGLWEAutomorphismKey<Vec<u8>> = GGLWEAutomorphismKey::alloc(&auto_key_in_infos);
-            let mut auto_key_out: GGLWEAutomorphismKey<Vec<u8>> = GGLWEAutomorphismKey::alloc(&auto_key_out_infos);
-            let mut auto_key_apply: GGLWEAutomorphismKey<Vec<u8>> = GGLWEAutomorphismKey::alloc(&auto_key_apply_infos);
+            let mut auto_key_in: AutomorphismKey<Vec<u8>> = AutomorphismKey::alloc(&auto_key_in_infos);
+            let mut auto_key_out: AutomorphismKey<Vec<u8>> = AutomorphismKey::alloc(&auto_key_out_infos);
+            let mut auto_key_apply: AutomorphismKey<Vec<u8>> = AutomorphismKey::alloc(&auto_key_apply_infos);
 
             let mut source_xs: Source = Source::new([0u8; 32]);
             let mut source_xe: Source = Source::new([0u8; 32]);
             let mut source_xa: Source = Source::new([0u8; 32]);
 
             let mut scratch: ScratchOwned<B> = ScratchOwned::alloc(
-                GGLWEAutomorphismKey::encrypt_sk_scratch_space(module, &auto_key_in_infos)
-                    | GGLWEAutomorphismKey::encrypt_sk_scratch_space(module, &auto_key_apply_infos)
-                    | GGLWEAutomorphismKey::automorphism_scratch_space(
+                AutomorphismKey::encrypt_sk_scratch_space(module, &auto_key_in_infos)
+                    | AutomorphismKey::encrypt_sk_scratch_space(module, &auto_key_apply_infos)
+                    | AutomorphismKey::automorphism_scratch_space(
                         module,
                         &auto_key_out_infos,
                         &auto_key_in_infos,
@@ -153,8 +153,8 @@ where
                 scratch.borrow(),
             );
 
-            let mut auto_key_apply_prepared: GGLWEAutomorphismKeyPrepared<Vec<u8>, B> =
-                GGLWEAutomorphismKeyPrepared::alloc(module, &auto_key_apply_infos);
+            let mut auto_key_apply_prepared: AutomorphismKeyPrepared<Vec<u8>, B> =
+                AutomorphismKeyPrepared::alloc(module, &auto_key_apply_infos);
 
             auto_key_apply_prepared.prepare(module, &auto_key_apply, scratch.borrow());
 
@@ -293,7 +293,7 @@ where
             let dnum_in: usize = k_in / (base2k * di);
             let dnum_apply: usize = k_in.div_ceil(base2k * di);
 
-            let auto_key_layout: GGLWEAutomorphismKeyLayout = GGLWEAutomorphismKeyLayout {
+            let auto_key_layout: AutomorphismKeyLayout = AutomorphismKeyLayout {
                 n: n.into(),
                 base2k: base2k.into(),
                 k: k_in.into(),
@@ -302,7 +302,7 @@ where
                 rank: rank.into(),
             };
 
-            let auto_key_apply_layout: GGLWEAutomorphismKeyLayout = GGLWEAutomorphismKeyLayout {
+            let auto_key_apply_layout: AutomorphismKeyLayout = AutomorphismKeyLayout {
                 n: n.into(),
                 base2k: base2k.into(),
                 k: k_apply.into(),
@@ -311,17 +311,17 @@ where
                 rank: rank.into(),
             };
 
-            let mut auto_key: GGLWEAutomorphismKey<Vec<u8>> = GGLWEAutomorphismKey::alloc(&auto_key_layout);
-            let mut auto_key_apply: GGLWEAutomorphismKey<Vec<u8>> = GGLWEAutomorphismKey::alloc(&auto_key_apply_layout);
+            let mut auto_key: AutomorphismKey<Vec<u8>> = AutomorphismKey::alloc(&auto_key_layout);
+            let mut auto_key_apply: AutomorphismKey<Vec<u8>> = AutomorphismKey::alloc(&auto_key_apply_layout);
 
             let mut source_xs: Source = Source::new([0u8; 32]);
             let mut source_xe: Source = Source::new([0u8; 32]);
             let mut source_xa: Source = Source::new([0u8; 32]);
 
             let mut scratch: ScratchOwned<B> = ScratchOwned::alloc(
-                GGLWEAutomorphismKey::encrypt_sk_scratch_space(module, &auto_key)
-                    | GGLWEAutomorphismKey::encrypt_sk_scratch_space(module, &auto_key_apply)
-                    | GGLWEAutomorphismKey::automorphism_inplace_scratch_space(module, &auto_key, &auto_key_apply),
+                AutomorphismKey::encrypt_sk_scratch_space(module, &auto_key)
+                    | AutomorphismKey::encrypt_sk_scratch_space(module, &auto_key_apply)
+                    | AutomorphismKey::automorphism_inplace_scratch_space(module, &auto_key, &auto_key_apply),
             );
 
             let mut sk: GLWESecret<Vec<u8>> = GLWESecret::alloc(&auto_key);
@@ -347,8 +347,8 @@ where
                 scratch.borrow(),
             );
 
-            let mut auto_key_apply_prepared: GGLWEAutomorphismKeyPrepared<Vec<u8>, B> =
-                GGLWEAutomorphismKeyPrepared::alloc(module, &auto_key_apply_layout);
+            let mut auto_key_apply_prepared: AutomorphismKeyPrepared<Vec<u8>, B> =
+                AutomorphismKeyPrepared::alloc(module, &auto_key_apply_layout);
 
             auto_key_apply_prepared.prepare(module, &auto_key_apply, scratch.borrow());
 
diff --git a/poulpy-core/src/tests/test_suite/automorphism/ggsw_ct.rs b/poulpy-core/src/tests/test_suite/automorphism/ggsw_ct.rs
index 2fd7151..8d34288 100644
--- a/poulpy-core/src/tests/test_suite/automorphism/ggsw_ct.rs
+++ b/poulpy-core/src/tests/test_suite/automorphism/ggsw_ct.rs
@@ -19,8 +19,8 @@ use poulpy_hal::{
 use crate::{
     encryption::SIGMA,
     layouts::{
-        GGLWEAutomorphismKey, GGLWETensorKey, GGLWETensorKeyLayout, GGSWCiphertext, GGSWCiphertextLayout, GLWESecret,
-        prepared::{GGLWEAutomorphismKeyPrepared, GGLWETensorKeyPrepared, GLWESecretPrepared, Prepare, PrepareAlloc},
+        AutomorphismKey, GGSW, GGSWCiphertextLayout, GLWESecret, TensorKey, TensorKeyLayout,
+        prepared::{AutomorphismKeyPrepared, GLWESecretPrepared, Prepare, PrepareAlloc, TensorKeyPrepared},
     },
     noise::noise_ggsw_keyswitch,
 };
@@ -110,7 +110,7 @@ where
                 rank: rank.into(),
             };
 
-            let tensor_key_layout: GGLWETensorKeyLayout = GGLWETensorKeyLayout {
+            let tensor_key_layout: TensorKeyLayout = TensorKeyLayout {
                 n: n.into(),
                 base2k: base2k.into(),
                 k: k_tsk.into(),
@@ -119,7 +119,7 @@ where
                 rank: rank.into(),
             };
 
-            let auto_key_layout: GGLWETensorKeyLayout = GGLWETensorKeyLayout {
+            let auto_key_layout: TensorKeyLayout = TensorKeyLayout {
                 n: n.into(),
                 base2k: base2k.into(),
                 k: k_ksk.into(),
@@ -128,10 +128,10 @@ where
                 rank: rank.into(),
             };
 
-            let mut ct_in: GGSWCiphertext<Vec<u8>> = GGSWCiphertext::alloc(&ggsw_in_layout);
-            let mut ct_out: GGSWCiphertext<Vec<u8>> = GGSWCiphertext::alloc(&ggsw_out_layout);
-            let mut tensor_key: GGLWETensorKey<Vec<u8>> = GGLWETensorKey::alloc(&tensor_key_layout);
-            let mut auto_key: GGLWEAutomorphismKey<Vec<u8>> = GGLWEAutomorphismKey::alloc(&auto_key_layout);
+            let mut ct_in: GGSW<Vec<u8>> = GGSW::alloc(&ggsw_in_layout);
+            let mut ct_out: GGSW<Vec<u8>> = GGSW::alloc(&ggsw_out_layout);
+            let mut tensor_key: TensorKey<Vec<u8>> = TensorKey::alloc(&tensor_key_layout);
+            let mut auto_key: AutomorphismKey<Vec<u8>> = AutomorphismKey::alloc(&auto_key_layout);
             let mut pt_scalar: ScalarZnx<Vec<u8>> = ScalarZnx::alloc(n, 1);
 
             let mut source_xs: Source = Source::new([0u8; 32]);
@@ -139,10 +139,10 @@ where
             let mut source_xa: Source = Source::new([0u8; 32]);
 
             let mut scratch: ScratchOwned<B> = ScratchOwned::alloc(
-                GGSWCiphertext::encrypt_sk_scratch_space(module, &ct_in)
-                    | GGLWEAutomorphismKey::encrypt_sk_scratch_space(module, &auto_key)
-                    | GGLWETensorKey::encrypt_sk_scratch_space(module, &tensor_key)
-                    | GGSWCiphertext::automorphism_scratch_space(module, &ct_out, &ct_in, &auto_key, &tensor_key),
+                GGSW::encrypt_sk_scratch_space(module, &ct_in)
+                    | AutomorphismKey::encrypt_sk_scratch_space(module, &auto_key)
+                    | TensorKey::encrypt_sk_scratch_space(module, &tensor_key)
+                    | GGSW::automorphism_scratch_space(module, &ct_out, &ct_in, &auto_key, &tensor_key),
             );
 
             let var_xs: f64 = 0.5;
@@ -178,11 +178,11 @@ where
                 scratch.borrow(),
             );
 
-            let mut auto_key_prepared: GGLWEAutomorphismKeyPrepared<Vec<u8>, B> =
-                GGLWEAutomorphismKeyPrepared::alloc(module, &auto_key_layout);
+            let mut auto_key_prepared: AutomorphismKeyPrepared<Vec<u8>, B> =
+                AutomorphismKeyPrepared::alloc(module, &auto_key_layout);
             auto_key_prepared.prepare(module, &auto_key, scratch.borrow());
 
-            let mut tsk_prepared: GGLWETensorKeyPrepared<Vec<u8>, B> = GGLWETensorKeyPrepared::alloc(module, &tensor_key_layout);
+            let mut tsk_prepared: TensorKeyPrepared<Vec<u8>, B> = TensorKeyPrepared::alloc(module, &tensor_key_layout);
             tsk_prepared.prepare(module, &tensor_key, scratch.borrow());
 
             ct_out.automorphism(
@@ -291,7 +291,7 @@ where
                 rank: rank.into(),
             };
 
-            let tensor_key_layout: GGLWETensorKeyLayout = GGLWETensorKeyLayout {
+            let tensor_key_layout: TensorKeyLayout = TensorKeyLayout {
                 n: n.into(),
                 base2k: base2k.into(),
                 k: k_tsk.into(),
@@ -300,7 +300,7 @@ where
                 rank: rank.into(),
             };
 
-            let auto_key_layout: GGLWETensorKeyLayout = GGLWETensorKeyLayout {
+            let auto_key_layout: TensorKeyLayout = TensorKeyLayout {
                 n: n.into(),
                 base2k: base2k.into(),
                 k: k_ksk.into(),
@@ -309,9 +309,9 @@ where
                 rank: rank.into(),
             };
 
-            let mut ct: GGSWCiphertext<Vec<u8>> = GGSWCiphertext::alloc(&ggsw_out_layout);
-            let mut tensor_key: GGLWETensorKey<Vec<u8>> = GGLWETensorKey::alloc(&tensor_key_layout);
-            let mut auto_key: GGLWEAutomorphismKey<Vec<u8>> = GGLWEAutomorphismKey::alloc(&auto_key_layout);
+            let mut ct: GGSW<Vec<u8>> = GGSW::alloc(&ggsw_out_layout);
+            let mut tensor_key: TensorKey<Vec<u8>> = TensorKey::alloc(&tensor_key_layout);
+            let mut auto_key: AutomorphismKey<Vec<u8>> = AutomorphismKey::alloc(&auto_key_layout);
             let mut pt_scalar: ScalarZnx<Vec<u8>> = ScalarZnx::alloc(n, 1);
 
             let mut source_xs: Source = Source::new([0u8; 32]);
@@ -319,10 +319,10 @@ where
             let mut source_xa: Source = Source::new([0u8; 32]);
 
             let mut scratch: ScratchOwned<B> = ScratchOwned::alloc(
-                GGSWCiphertext::encrypt_sk_scratch_space(module, &ct)
-                    | GGLWEAutomorphismKey::encrypt_sk_scratch_space(module, &auto_key)
-                    | GGLWETensorKey::encrypt_sk_scratch_space(module, &tensor_key)
-                    | GGSWCiphertext::automorphism_inplace_scratch_space(module, &ct, &auto_key, &tensor_key),
+                GGSW::encrypt_sk_scratch_space(module, &ct)
+                    | AutomorphismKey::encrypt_sk_scratch_space(module, &auto_key)
+                    | TensorKey::encrypt_sk_scratch_space(module, &tensor_key)
+                    | GGSW::automorphism_inplace_scratch_space(module, &ct, &auto_key, &tensor_key),
             );
 
             let var_xs: f64 = 0.5;
@@ -358,11 +358,11 @@ where
                 scratch.borrow(),
             );
 
-            let mut auto_key_prepared: GGLWEAutomorphismKeyPrepared<Vec<u8>, B> =
-                GGLWEAutomorphismKeyPrepared::alloc(module, &auto_key_layout);
+            let mut auto_key_prepared: AutomorphismKeyPrepared<Vec<u8>, B> =
+                AutomorphismKeyPrepared::alloc(module, &auto_key_layout);
             auto_key_prepared.prepare(module, &auto_key, scratch.borrow());
 
-            let mut tsk_prepared: GGLWETensorKeyPrepared<Vec<u8>, B> = GGLWETensorKeyPrepared::alloc(module, &tensor_key_layout);
+            let mut tsk_prepared: TensorKeyPrepared<Vec<u8>, B> = TensorKeyPrepared::alloc(module, &tensor_key_layout);
             tsk_prepared.prepare(module, &tensor_key, scratch.borrow());
 
             ct.automorphism_inplace(module, &auto_key_prepared, &tsk_prepared, scratch.borrow());
diff --git a/poulpy-core/src/tests/test_suite/automorphism/glwe_ct.rs b/poulpy-core/src/tests/test_suite/automorphism/glwe_ct.rs
index 5828c48..a15b2c1 100644
--- a/poulpy-core/src/tests/test_suite/automorphism/glwe_ct.rs
+++ b/poulpy-core/src/tests/test_suite/automorphism/glwe_ct.rs
@@ -18,8 +18,8 @@ use poulpy_hal::{
 use crate::{
     encryption::SIGMA,
     layouts::{
-        GGLWEAutomorphismKey, GGLWEAutomorphismKeyLayout, GLWECiphertext, GLWECiphertextLayout, GLWEPlaintext, GLWESecret,
-        prepared::{GGLWEAutomorphismKeyPrepared, GLWESecretPrepared, Prepare, PrepareAlloc},
+        AutomorphismKey, AutomorphismKeyLayout, GLWECiphertext, GLWECiphertextLayout, GLWEPlaintext, GLWESecret,
+        prepared::{AutomorphismKeyPrepared, GLWESecretPrepared, Prepare, PrepareAlloc},
     },
     noise::log2_std_noise_gglwe_product,
 };
@@ -91,7 +91,7 @@ where
                 rank: rank.into(),
             };
 
-            let autokey_infos: GGLWEAutomorphismKeyLayout = GGLWEAutomorphismKeyLayout {
+            let autokey_infos: AutomorphismKeyLayout = AutomorphismKeyLayout {
                 n: n.into(),
                 base2k: base2k.into(),
                 k: k_out.into(),
@@ -100,7 +100,7 @@ where
                 dsize: di.into(),
             };
 
-            let mut autokey: GGLWEAutomorphismKey<Vec<u8>> = GGLWEAutomorphismKey::alloc(&autokey_infos);
+            let mut autokey: AutomorphismKey<Vec<u8>> = AutomorphismKey::alloc(&autokey_infos);
             let mut ct_in: GLWECiphertext<Vec<u8>> = GLWECiphertext::alloc(&ct_in_infos);
             let mut ct_out: GLWECiphertext<Vec<u8>> = GLWECiphertext::alloc(&ct_out_infos);
             let mut pt_want: GLWEPlaintext<Vec<u8>> = GLWEPlaintext::alloc(&ct_out_infos);
@@ -112,7 +112,7 @@ where
             module.vec_znx_fill_uniform(base2k, &mut pt_want.data, 0, &mut source_xa);
 
             let mut scratch: ScratchOwned<B> = ScratchOwned::alloc(
-                GGLWEAutomorphismKey::encrypt_sk_scratch_space(module, &autokey)
+                AutomorphismKey::encrypt_sk_scratch_space(module, &autokey)
                     | GLWECiphertext::decrypt_scratch_space(module, &ct_out)
                     | GLWECiphertext::encrypt_sk_scratch_space(module, &ct_in)
                     | GLWECiphertext::automorphism_scratch_space(module, &ct_out, &ct_in, &autokey),
@@ -140,8 +140,8 @@ where
                 scratch.borrow(),
             );
 
-            let mut autokey_prepared: GGLWEAutomorphismKeyPrepared<Vec<u8>, B> =
-                GGLWEAutomorphismKeyPrepared::alloc(module, &autokey_infos);
+            let mut autokey_prepared: AutomorphismKeyPrepared<Vec<u8>, B> =
+                AutomorphismKeyPrepared::alloc(module, &autokey_infos);
             autokey_prepared.prepare(module, &autokey, scratch.borrow());
 
             ct_out.automorphism(module, &ct_in, &autokey_prepared, scratch.borrow());
@@ -226,7 +226,7 @@ where
                 rank: rank.into(),
             };
 
-            let autokey_infos: GGLWEAutomorphismKeyLayout = GGLWEAutomorphismKeyLayout {
+            let autokey_infos: AutomorphismKeyLayout = AutomorphismKeyLayout {
                 n: n.into(),
                 base2k: base2k.into(),
                 k: k_ksk.into(),
@@ -235,7 +235,7 @@ where
                 dsize: di.into(),
             };
 
-            let mut autokey: GGLWEAutomorphismKey<Vec<u8>> = GGLWEAutomorphismKey::alloc(&autokey_infos);
+            let mut autokey: AutomorphismKey<Vec<u8>> = AutomorphismKey::alloc(&autokey_infos);
             let mut ct: GLWECiphertext<Vec<u8>> = GLWECiphertext::alloc(&ct_out_infos);
             let mut pt_want: GLWEPlaintext<Vec<u8>> = GLWEPlaintext::alloc(&ct_out_infos);
 
@@ -246,7 +246,7 @@ where
             module.vec_znx_fill_uniform(base2k, &mut pt_want.data, 0, &mut source_xa);
 
             let mut scratch: ScratchOwned<B> = ScratchOwned::alloc(
-                GGLWEAutomorphismKey::encrypt_sk_scratch_space(module, &autokey)
+                AutomorphismKey::encrypt_sk_scratch_space(module, &autokey)
                     | GLWECiphertext::decrypt_scratch_space(module, &ct)
                     | GLWECiphertext::encrypt_sk_scratch_space(module, &ct)
                     | GLWECiphertext::automorphism_inplace_scratch_space(module, &ct, &autokey),
@@ -274,8 +274,7 @@ where
                 scratch.borrow(),
             );
 
-            let mut autokey_prepared: GGLWEAutomorphismKeyPrepared<Vec<u8>, B> =
-                GGLWEAutomorphismKeyPrepared::alloc(module, &autokey);
+            let mut autokey_prepared: AutomorphismKeyPrepared<Vec<u8>, B> = AutomorphismKeyPrepared::alloc(module, &autokey);
             autokey_prepared.prepare(module, &autokey, scratch.borrow());
 
             ct.automorphism_inplace(module, &autokey_prepared, scratch.borrow());
diff --git a/poulpy-core/src/tests/test_suite/conversion.rs b/poulpy-core/src/tests/test_suite/conversion.rs
index c2c81dc..7e3beba 100644
--- a/poulpy-core/src/tests/test_suite/conversion.rs
+++ b/poulpy-core/src/tests/test_suite/conversion.rs
@@ -16,9 +16,9 @@ use poulpy_hal::{
 };
 
 use crate::layouts::{
-    Base2K, Degree, Dnum, GLWECiphertext, GLWECiphertextLayout, GLWEPlaintext, GLWESecret, GLWEToLWEKey, GLWEToLWEKeyLayout,
-    LWECiphertext, LWECiphertextLayout, LWEPlaintext, LWESecret, LWEToGLWESwitchingKey, LWEToGLWESwitchingKeyLayout, Rank,
-    TorusPrecision,
+    Base2K, Degree, Dnum, GLWECiphertext, GLWECiphertextLayout, GLWEPlaintext, GLWESecret, GLWEToLWEKeyLayout,
+    GLWEToLWESwitchingKey, LWECiphertext, LWECiphertextLayout, LWEPlaintext, LWESecret, LWEToGLWESwitchingKey,
+    LWEToGLWESwitchingKeyLayout, Rank, TorusPrecision,
     prepared::{GLWESecretPrepared, GLWEToLWESwitchingKeyPrepared, LWEToGLWESwitchingKeyPrepared, PrepareAlloc},
 };
 
@@ -214,7 +214,7 @@ where
     let mut source_xe: Source = Source::new([0u8; 32]);
 
     let mut scratch: ScratchOwned<B> = ScratchOwned::alloc(
-        GLWEToLWEKey::encrypt_sk_scratch_space(module, &glwe_to_lwe_infos)
+        GLWEToLWESwitchingKey::encrypt_sk_scratch_space(module, &glwe_to_lwe_infos)
             | LWECiphertext::from_glwe_scratch_space(module, &lwe_infos, &glwe_infos, &glwe_to_lwe_infos)
             | GLWECiphertext::decrypt_scratch_space(module, &glwe_infos),
     );
@@ -241,7 +241,7 @@ where
         scratch.borrow(),
     );
 
-    let mut ksk: GLWEToLWEKey<Vec<u8>> = GLWEToLWEKey::alloc(&glwe_to_lwe_infos);
+    let mut ksk: GLWEToLWESwitchingKey<Vec<u8>> = GLWEToLWESwitchingKey::alloc(&glwe_to_lwe_infos);
 
     ksk.encrypt_sk(
         module,
diff --git a/poulpy-core/src/tests/test_suite/encryption/gglwe_atk.rs b/poulpy-core/src/tests/test_suite/encryption/gglwe_atk.rs
index e9b7c93..476abd1 100644
--- a/poulpy-core/src/tests/test_suite/encryption/gglwe_atk.rs
+++ b/poulpy-core/src/tests/test_suite/encryption/gglwe_atk.rs
@@ -18,8 +18,8 @@ use poulpy_hal::{
 use crate::{
     encryption::SIGMA,
     layouts::{
-        GGLWEAutomorphismKey, GGLWEAutomorphismKeyLayout, GLWEInfos, GLWESecret,
-        compressed::{Decompress, GGLWEAutomorphismKeyCompressed},
+        AutomorphismKey, AutomorphismKeyLayout, GLWEInfos, GLWESecret,
+        compressed::{AutomorphismKeyCompressed, Decompress},
         prepared::{GLWESecretPrepared, PrepareAlloc},
     },
 };
@@ -75,7 +75,7 @@ where
             let n: usize = module.n();
             let dnum: usize = (k_ksk - di * base2k) / (di * base2k);
 
-            let atk_infos: GGLWEAutomorphismKeyLayout = GGLWEAutomorphismKeyLayout {
+            let atk_infos: AutomorphismKeyLayout = AutomorphismKeyLayout {
                 n: n.into(),
                 base2k: base2k.into(),
                 k: k_ksk.into(),
@@ -84,13 +84,13 @@ where
                 rank: rank.into(),
             };
 
-            let mut atk: GGLWEAutomorphismKey<Vec<u8>> = GGLWEAutomorphismKey::alloc(&atk_infos);
+            let mut atk: AutomorphismKey<Vec<u8>> = AutomorphismKey::alloc(&atk_infos);
 
             let mut source_xs: Source = Source::new([0u8; 32]);
             let mut source_xe: Source = Source::new([0u8; 32]);
             let mut source_xa: Source = Source::new([0u8; 32]);
 
-            let mut scratch: ScratchOwned<B> = ScratchOwned::alloc(GGLWEAutomorphismKey::encrypt_sk_scratch_space(
+            let mut scratch: ScratchOwned<B> = ScratchOwned::alloc(AutomorphismKey::encrypt_sk_scratch_space(
                 module, &atk_infos,
             ));
 
@@ -178,7 +178,7 @@ where
             let n: usize = module.n();
             let dnum: usize = (k_ksk - di * base2k) / (di * base2k);
 
-            let atk_infos: GGLWEAutomorphismKeyLayout = GGLWEAutomorphismKeyLayout {
+            let atk_infos: AutomorphismKeyLayout = AutomorphismKeyLayout {
                 n: n.into(),
                 base2k: base2k.into(),
                 k: k_ksk.into(),
@@ -187,12 +187,12 @@ where
                 rank: rank.into(),
             };
 
-            let mut atk_compressed: GGLWEAutomorphismKeyCompressed<Vec<u8>> = GGLWEAutomorphismKeyCompressed::alloc(&atk_infos);
+            let mut atk_compressed: AutomorphismKeyCompressed<Vec<u8>> = AutomorphismKeyCompressed::alloc(&atk_infos);
 
             let mut source_xs: Source = Source::new([0u8; 32]);
             let mut source_xe: Source = Source::new([0u8; 32]);
 
-            let mut scratch: ScratchOwned<B> = ScratchOwned::alloc(GGLWEAutomorphismKey::encrypt_sk_scratch_space(
+            let mut scratch: ScratchOwned<B> = ScratchOwned::alloc(AutomorphismKey::encrypt_sk_scratch_space(
                 module, &atk_infos,
             ));
 
@@ -217,7 +217,7 @@ where
             });
             let sk_out_prepared = sk_out.prepare_alloc(module, scratch.borrow());
 
-            let mut atk: GGLWEAutomorphismKey<Vec<u8>> = GGLWEAutomorphismKey::alloc(&atk_infos);
+            let mut atk: AutomorphismKey<Vec<u8>> = AutomorphismKey::alloc(&atk_infos);
             atk.decompress(module, &atk_compressed);
 
             atk.key
diff --git a/poulpy-core/src/tests/test_suite/encryption/gglwe_ct.rs b/poulpy-core/src/tests/test_suite/encryption/gglwe_ct.rs
index 249161b..b0a8a8b 100644
--- a/poulpy-core/src/tests/test_suite/encryption/gglwe_ct.rs
+++ b/poulpy-core/src/tests/test_suite/encryption/gglwe_ct.rs
@@ -17,8 +17,8 @@ use poulpy_hal::{
 use crate::{
     encryption::SIGMA,
     layouts::{
-        GGLWECiphertextLayout, GGLWESwitchingKey, GLWESecret,
-        compressed::{Decompress, GGLWEKeyCompressed},
+        GGLWECiphertextLayout, GLWESecret, GLWESwitchingKey,
+        compressed::{Decompress, GLWESwitchingKeyCompressed},
         prepared::{GLWESecretPrepared, PrepareAlloc},
     },
 };
@@ -81,13 +81,13 @@ where
                     rank_out: rank_out.into(),
                 };
 
-                let mut ksk: GGLWESwitchingKey<Vec<u8>> = GGLWESwitchingKey::alloc(&gglwe_infos);
+                let mut ksk: GLWESwitchingKey<Vec<u8>> = GLWESwitchingKey::alloc(&gglwe_infos);
 
                 let mut source_xs: Source = Source::new([0u8; 32]);
                 let mut source_xe: Source = Source::new([0u8; 32]);
                 let mut source_xa: Source = Source::new([0u8; 32]);
 
-                let mut scratch: ScratchOwned<B> = ScratchOwned::alloc(GGLWESwitchingKey::encrypt_sk_scratch_space(
+                let mut scratch: ScratchOwned<B> = ScratchOwned::alloc(GLWESwitchingKey::encrypt_sk_scratch_space(
                     module,
                     &gglwe_infos,
                 ));
@@ -173,12 +173,12 @@ where
                     rank_out: rank_out.into(),
                 };
 
-                let mut ksk_compressed: GGLWEKeyCompressed<Vec<u8>> = GGLWEKeyCompressed::alloc(&gglwe_infos);
+                let mut ksk_compressed: GLWESwitchingKeyCompressed<Vec<u8>> = GLWESwitchingKeyCompressed::alloc(&gglwe_infos);
 
                 let mut source_xs: Source = Source::new([0u8; 32]);
                 let mut source_xe: Source = Source::new([0u8; 32]);
 
-                let mut scratch: ScratchOwned<B> = ScratchOwned::alloc(GGLWEKeyCompressed::encrypt_sk_scratch_space(
+                let mut scratch: ScratchOwned<B> = ScratchOwned::alloc(GLWESwitchingKeyCompressed::encrypt_sk_scratch_space(
                     module,
                     &gglwe_infos,
                 ));
@@ -201,7 +201,7 @@ where
                     scratch.borrow(),
                 );
 
-                let mut ksk: GGLWESwitchingKey<Vec<u8>> = GGLWESwitchingKey::alloc(&gglwe_infos);
+                let mut ksk: GLWESwitchingKey<Vec<u8>> = GLWESwitchingKey::alloc(&gglwe_infos);
                 ksk.decompress(module, &ksk_compressed);
 
                 ksk.key
diff --git a/poulpy-core/src/tests/test_suite/encryption/ggsw_ct.rs b/poulpy-core/src/tests/test_suite/encryption/ggsw_ct.rs
index 9eacf38..13ed1de 100644
--- a/poulpy-core/src/tests/test_suite/encryption/ggsw_ct.rs
+++ b/poulpy-core/src/tests/test_suite/encryption/ggsw_ct.rs
@@ -17,53 +17,16 @@ use poulpy_hal::{
 use crate::{
     encryption::SIGMA,
     layouts::{
-        GGSWCiphertext, GGSWCiphertextLayout, GLWESecret,
+        GGSW, GGSWCiphertextLayout, GLWESecret,
         compressed::{Decompress, GGSWCiphertextCompressed},
         prepared::{GLWESecretPrepared, PrepareAlloc},
     },
 };
 
-pub fn test_ggsw_encrypt_sk<B>(module: &Module<B>)
+pub fn test_ggsw_encrypt_sk<B: Backend>(module: &Module<B>)
 where
-    Module<B>: VecZnxDftAllocBytes
-        + VecZnxBigNormalize<B>
-        + VecZnxDftApply<B>
-        + SvpApplyDftToDftInplace<B>
-        + VecZnxIdftApplyConsume<B>
-        + VecZnxNormalizeTmpBytes
-        + VecZnxFillUniform
-        + VecZnxSubInplace
-        + VecZnxAddInplace
-        + VecZnxNormalizeInplace<B>
-        + VecZnxAddNormal
-        + VecZnxNormalize<B>
-        + VecZnxSub
-        + SvpPrepare<B>
-        + SvpPPolAllocBytes
-        + SvpPPolAlloc<B>
-        + VecZnxBigAddSmallInplace<B>
-        + VecZnxAddScalarInplace
-        + VecZnxBigAllocBytes
-        + VecZnxBigAddInplace<B>
-        + VecZnxCopy
-        + VmpPMatAlloc<B>
-        + VmpPrepare<B>
-        + VecZnxBigAlloc<B>
-        + VecZnxDftAlloc<B>
-        + VecZnxBigNormalizeTmpBytes
-        + VecZnxIdftApplyTmpA<B>,
-    B: Backend
-        + TakeVecZnxDftImpl<B>
-        + TakeVecZnxBigImpl<B>
-        + TakeSvpPPolImpl<B>
-        + ScratchOwnedAllocImpl<B>
-        + ScratchOwnedBorrowImpl<B>
-        + ScratchAvailableImpl<B>
-        + TakeScalarZnxImpl<B>
-        + TakeVecZnxImpl<B>
-        + VecZnxDftAllocBytesImpl<B>
-        + VecZnxBigAllocBytesImpl<B>
-        + TakeSvpPPolImpl<B>,
+    ScratchOwned<B>: ScratchOwnedAlloc<B>,
+    Module<B>: SvpPrepare<B>,
 {
     let base2k: usize = 12;
     let k: usize = 54;
@@ -82,7 +45,7 @@ where
                 rank: rank.into(),
             };
 
-            let mut ct: GGSWCiphertext<Vec<u8>> = GGSWCiphertext::alloc(&ggsw_infos);
+            let mut ct: GGSW<Vec<u8>> = GGSW::alloc(&ggsw_infos);
 
             let mut pt_scalar: ScalarZnx<Vec<u8>> = ScalarZnx::alloc(n, 1);
 
@@ -92,10 +55,7 @@ where
 
             pt_scalar.fill_ternary_hw(0, n, &mut source_xs);
 
-            let mut scratch: ScratchOwned<B> = ScratchOwned::alloc(GGSWCiphertext::encrypt_sk_scratch_space(
-                module,
-                &ggsw_infos,
-            ));
+            let mut scratch: ScratchOwned<B> = ScratchOwned::alloc(GGSW::encrypt_sk_scratch_space(module, &ggsw_infos));
 
             let mut sk: GLWESecret<Vec<u8>> = GLWESecret::alloc(&ggsw_infos);
             sk.fill_ternary_prob(0.5, &mut source_xs);
@@ -206,7 +166,7 @@ where
 
             let noise_f = |_col_i: usize| -(k as f64) + SIGMA.log2() + 0.5;
 
-            let mut ct: GGSWCiphertext<Vec<u8>> = GGSWCiphertext::alloc(&ggsw_infos);
+            let mut ct: GGSW<Vec<u8>> = GGSW::alloc(&ggsw_infos);
             ct.decompress(module, &ct_compressed);
 
             ct.assert_noise(module, &sk_prepared, &pt_scalar, noise_f);
diff --git a/poulpy-core/src/tests/test_suite/encryption/glwe_tsk.rs b/poulpy-core/src/tests/test_suite/encryption/glwe_tsk.rs
index 8bb9730..2944d59 100644
--- a/poulpy-core/src/tests/test_suite/encryption/glwe_tsk.rs
+++ b/poulpy-core/src/tests/test_suite/encryption/glwe_tsk.rs
@@ -17,8 +17,8 @@ use poulpy_hal::{
 use crate::{
     encryption::SIGMA,
     layouts::{
-        Dsize, GGLWETensorKey, GGLWETensorKeyLayout, GLWEPlaintext, GLWESecret,
-        compressed::{Decompress, GGLWETensorKeyCompressed},
+        Dsize, GLWEPlaintext, GLWESecret, TensorKey, TensorKeyLayout,
+        compressed::{Decompress, TensorKeyCompressed},
         prepared::{GLWESecretPrepared, PrepareAlloc},
     },
 };
@@ -71,7 +71,7 @@ where
         let n: usize = module.n();
         let dnum: usize = k / base2k;
 
-        let tensor_key_infos = GGLWETensorKeyLayout {
+        let tensor_key_infos = TensorKeyLayout {
             n: n.into(),
             base2k: base2k.into(),
             k: k.into(),
@@ -80,13 +80,13 @@ where
             rank: rank.into(),
         };
 
-        let mut tensor_key: GGLWETensorKey<Vec<u8>> = GGLWETensorKey::alloc(&tensor_key_infos);
+        let mut tensor_key: TensorKey<Vec<u8>> = TensorKey::alloc(&tensor_key_infos);
 
         let mut source_xs: Source = Source::new([0u8; 32]);
         let mut source_xe: Source = Source::new([0u8; 32]);
         let mut source_xa: Source = Source::new([0u8; 32]);
 
-        let mut scratch: ScratchOwned<B> = ScratchOwned::alloc(GGLWETensorKey::encrypt_sk_scratch_space(
+        let mut scratch: ScratchOwned<B> = ScratchOwned::alloc(TensorKey::encrypt_sk_scratch_space(
             module,
             &tensor_key_infos,
         ));
@@ -190,7 +190,7 @@ where
         let n: usize = module.n();
         let dnum: usize = k / base2k;
 
-        let tensor_key_infos: GGLWETensorKeyLayout = GGLWETensorKeyLayout {
+        let tensor_key_infos: TensorKeyLayout = TensorKeyLayout {
             n: n.into(),
             base2k: base2k.into(),
             k: k.into(),
@@ -199,12 +199,12 @@ where
             rank: rank.into(),
         };
 
-        let mut tensor_key_compressed: GGLWETensorKeyCompressed<Vec<u8>> = GGLWETensorKeyCompressed::alloc(&tensor_key_infos);
+        let mut tensor_key_compressed: TensorKeyCompressed<Vec<u8>> = TensorKeyCompressed::alloc(&tensor_key_infos);
 
         let mut source_xs: Source = Source::new([0u8; 32]);
         let mut source_xe: Source = Source::new([0u8; 32]);
 
-        let mut scratch: ScratchOwned<B> = ScratchOwned::alloc(GGLWETensorKeyCompressed::encrypt_sk_scratch_space(
+        let mut scratch: ScratchOwned<B> = ScratchOwned::alloc(TensorKeyCompressed::encrypt_sk_scratch_space(
             module,
             &tensor_key_infos,
         ));
@@ -217,7 +217,7 @@ where
 
         tensor_key_compressed.encrypt_sk(module, &sk, seed_xa, &mut source_xe, scratch.borrow());
 
-        let mut tensor_key: GGLWETensorKey<Vec<u8>> = GGLWETensorKey::alloc(&tensor_key_infos);
+        let mut tensor_key: TensorKey<Vec<u8>> = TensorKey::alloc(&tensor_key_infos);
         tensor_key.decompress(module, &tensor_key_compressed);
 
         let mut pt: GLWEPlaintext<Vec<u8>> = GLWEPlaintext::alloc(&tensor_key_infos);
diff --git a/poulpy-core/src/tests/test_suite/external_product/gglwe_ksk.rs b/poulpy-core/src/tests/test_suite/external_product/gglwe_ksk.rs
index 2cfa618..15ac048 100644
--- a/poulpy-core/src/tests/test_suite/external_product/gglwe_ksk.rs
+++ b/poulpy-core/src/tests/test_suite/external_product/gglwe_ksk.rs
@@ -18,8 +18,8 @@ use poulpy_hal::{
 use crate::{
     encryption::SIGMA,
     layouts::{
-        GGLWESwitchingKey, GGLWESwitchingKeyLayout, GGSWCiphertext, GGSWCiphertextLayout, GLWESecret,
-        prepared::{GGSWCiphertextPrepared, GLWESecretPrepared, PrepareAlloc},
+        GGSW, GGSWCiphertextLayout, GLWESecret, GLWESwitchingKey, GLWESwitchingKeyLayout,
+        prepared::{GGSWPrepared, GLWESecretPrepared, PrepareAlloc},
     },
     noise::noise_ggsw_product,
 };
@@ -81,7 +81,7 @@ where
                 let dnum: usize = k_in.div_ceil(base2k * di);
                 let dsize_in: usize = 1;
 
-                let gglwe_in_infos: GGLWESwitchingKeyLayout = GGLWESwitchingKeyLayout {
+                let gglwe_in_infos: GLWESwitchingKeyLayout = GLWESwitchingKeyLayout {
                     n: n.into(),
                     base2k: base2k.into(),
                     k: k_in.into(),
@@ -91,7 +91,7 @@ where
                     rank_out: rank_out.into(),
                 };
 
-                let gglwe_out_infos: GGLWESwitchingKeyLayout = GGLWESwitchingKeyLayout {
+                let gglwe_out_infos: GLWESwitchingKeyLayout = GLWESwitchingKeyLayout {
                     n: n.into(),
                     base2k: base2k.into(),
                     k: k_out.into(),
@@ -110,9 +110,9 @@ where
                     rank: rank_out.into(),
                 };
 
-                let mut ct_gglwe_in: GGLWESwitchingKey<Vec<u8>> = GGLWESwitchingKey::alloc(&gglwe_in_infos);
-                let mut ct_gglwe_out: GGLWESwitchingKey<Vec<u8>> = GGLWESwitchingKey::alloc(&gglwe_out_infos);
-                let mut ct_rgsw: GGSWCiphertext<Vec<u8>> = GGSWCiphertext::alloc(&ggsw_infos);
+                let mut ct_gglwe_in: GLWESwitchingKey<Vec<u8>> = GLWESwitchingKey::alloc(&gglwe_in_infos);
+                let mut ct_gglwe_out: GLWESwitchingKey<Vec<u8>> = GLWESwitchingKey::alloc(&gglwe_out_infos);
+                let mut ct_rgsw: GGSW<Vec<u8>> = GGSW::alloc(&ggsw_infos);
 
                 let mut pt_rgsw: ScalarZnx<Vec<u8>> = ScalarZnx::alloc(n, 1);
 
@@ -121,14 +121,14 @@ where
                 let mut source_xa: Source = Source::new([0u8; 32]);
 
                 let mut scratch: ScratchOwned<B> = ScratchOwned::alloc(
-                    GGLWESwitchingKey::encrypt_sk_scratch_space(module, &gglwe_in_infos)
-                        | GGLWESwitchingKey::external_product_scratch_space(
+                    GLWESwitchingKey::encrypt_sk_scratch_space(module, &gglwe_in_infos)
+                        | GLWESwitchingKey::external_product_scratch_space(
                             module,
                             &gglwe_out_infos,
                             &gglwe_in_infos,
                             &ggsw_infos,
                         )
-                        | GGSWCiphertext::encrypt_sk_scratch_space(module, &ggsw_infos),
+                        | GGSW::encrypt_sk_scratch_space(module, &ggsw_infos),
                 );
 
                 let r: usize = 1;
@@ -163,7 +163,7 @@ where
                     scratch.borrow(),
                 );
 
-                let ct_rgsw_prepared: GGSWCiphertextPrepared<Vec<u8>, B> = ct_rgsw.prepare_alloc(module, scratch.borrow());
+                let ct_rgsw_prepared: GGSWPrepared<Vec<u8>, B> = ct_rgsw.prepare_alloc(module, scratch.borrow());
 
                 // gglwe_(m) (x) RGSW_(X^k) = gglwe_(m * X^k)
                 ct_gglwe_out.external_product(module, &ct_gglwe_in, &ct_rgsw_prepared, scratch.borrow());
@@ -263,7 +263,7 @@ where
 
                 let dsize_in: usize = 1;
 
-                let gglwe_out_infos: GGLWESwitchingKeyLayout = GGLWESwitchingKeyLayout {
+                let gglwe_out_infos: GLWESwitchingKeyLayout = GLWESwitchingKeyLayout {
                     n: n.into(),
                     base2k: base2k.into(),
                     k: k_out.into(),
@@ -282,8 +282,8 @@ where
                     rank: rank_out.into(),
                 };
 
-                let mut ct_gglwe: GGLWESwitchingKey<Vec<u8>> = GGLWESwitchingKey::alloc(&gglwe_out_infos);
-                let mut ct_rgsw: GGSWCiphertext<Vec<u8>> = GGSWCiphertext::alloc(&ggsw_infos);
+                let mut ct_gglwe: GLWESwitchingKey<Vec<u8>> = GLWESwitchingKey::alloc(&gglwe_out_infos);
+                let mut ct_rgsw: GGSW<Vec<u8>> = GGSW::alloc(&ggsw_infos);
 
                 let mut pt_rgsw: ScalarZnx<Vec<u8>> = ScalarZnx::alloc(n, 1);
 
@@ -292,9 +292,9 @@ where
                 let mut source_xa: Source = Source::new([0u8; 32]);
 
                 let mut scratch: ScratchOwned<B> = ScratchOwned::alloc(
-                    GGLWESwitchingKey::encrypt_sk_scratch_space(module, &gglwe_out_infos)
-                        | GGLWESwitchingKey::external_product_inplace_scratch_space(module, &gglwe_out_infos, &ggsw_infos)
-                        | GGSWCiphertext::encrypt_sk_scratch_space(module, &ggsw_infos),
+                    GLWESwitchingKey::encrypt_sk_scratch_space(module, &gglwe_out_infos)
+                        | GLWESwitchingKey::external_product_inplace_scratch_space(module, &gglwe_out_infos, &ggsw_infos)
+                        | GGSW::encrypt_sk_scratch_space(module, &ggsw_infos),
                 );
 
                 let r: usize = 1;
@@ -329,7 +329,7 @@ where
                     scratch.borrow(),
                 );
 
-                let ct_rgsw_prepared: GGSWCiphertextPrepared<Vec<u8>, B> = ct_rgsw.prepare_alloc(module, scratch.borrow());
+                let ct_rgsw_prepared: GGSWPrepared<Vec<u8>, B> = ct_rgsw.prepare_alloc(module, scratch.borrow());
 
                 // gglwe_(m) (x) RGSW_(X^k) = gglwe_(m * X^k)
                 ct_gglwe.external_product_inplace(module, &ct_rgsw_prepared, scratch.borrow());
diff --git a/poulpy-core/src/tests/test_suite/external_product/ggsw_ct.rs b/poulpy-core/src/tests/test_suite/external_product/ggsw_ct.rs
index 464eac2..32f15e9 100644
--- a/poulpy-core/src/tests/test_suite/external_product/ggsw_ct.rs
+++ b/poulpy-core/src/tests/test_suite/external_product/ggsw_ct.rs
@@ -18,8 +18,8 @@ use poulpy_hal::{
 use crate::{
     encryption::SIGMA,
     layouts::{
-        GGSWCiphertext, GGSWCiphertextLayout, GLWESecret,
-        prepared::{GGSWCiphertextPrepared, GLWESecretPrepared, PrepareAlloc},
+        GGSW, GGSWCiphertextLayout, GLWESecret,
+        prepared::{GGSWPrepared, GLWESecretPrepared, PrepareAlloc},
     },
     noise::noise_ggsw_product,
 };
@@ -111,9 +111,9 @@ where
                 rank: rank.into(),
             };
 
-            let mut ggsw_in: GGSWCiphertext<Vec<u8>> = GGSWCiphertext::alloc(&ggsw_in_infos);
-            let mut ggsw_out: GGSWCiphertext<Vec<u8>> = GGSWCiphertext::alloc(&ggsw_out_infos);
-            let mut ggsw_apply: GGSWCiphertext<Vec<u8>> = GGSWCiphertext::alloc(&ggsw_apply_infos);
+            let mut ggsw_in: GGSW<Vec<u8>> = GGSW::alloc(&ggsw_in_infos);
+            let mut ggsw_out: GGSW<Vec<u8>> = GGSW::alloc(&ggsw_out_infos);
+            let mut ggsw_apply: GGSW<Vec<u8>> = GGSW::alloc(&ggsw_apply_infos);
             let mut pt_in: ScalarZnx<Vec<u8>> = ScalarZnx::alloc(n, 1);
             let mut pt_apply: ScalarZnx<Vec<u8>> = ScalarZnx::alloc(n, 1);
 
@@ -128,9 +128,9 @@ where
             pt_apply.to_mut().raw_mut()[k] = 1; //X^{k}
 
             let mut scratch: ScratchOwned<B> = ScratchOwned::alloc(
-                GGSWCiphertext::encrypt_sk_scratch_space(module, &ggsw_apply_infos)
-                    | GGSWCiphertext::encrypt_sk_scratch_space(module, &ggsw_in_infos)
-                    | GGSWCiphertext::external_product_scratch_space(module, &ggsw_out_infos, &ggsw_in_infos, &ggsw_apply_infos),
+                GGSW::encrypt_sk_scratch_space(module, &ggsw_apply_infos)
+                    | GGSW::encrypt_sk_scratch_space(module, &ggsw_in_infos)
+                    | GGSW::external_product_scratch_space(module, &ggsw_out_infos, &ggsw_in_infos, &ggsw_apply_infos),
             );
 
             let mut sk: GLWESecret<Vec<u8>> = GLWESecret::alloc_with(n.into(), rank.into());
@@ -155,7 +155,7 @@ where
                 scratch.borrow(),
             );
 
-            let ct_rhs_prepared: GGSWCiphertextPrepared<Vec<u8>, B> = ggsw_apply.prepare_alloc(module, scratch.borrow());
+            let ct_rhs_prepared: GGSWPrepared<Vec<u8>, B> = ggsw_apply.prepare_alloc(module, scratch.borrow());
 
             ggsw_out.external_product(module, &ggsw_in, &ct_rhs_prepared, scratch.borrow());
 
@@ -265,8 +265,8 @@ where
                 rank: rank.into(),
             };
 
-            let mut ggsw_out: GGSWCiphertext<Vec<u8>> = GGSWCiphertext::alloc(&ggsw_out_infos);
-            let mut ggsw_apply: GGSWCiphertext<Vec<u8>> = GGSWCiphertext::alloc(&ggsw_apply_infos);
+            let mut ggsw_out: GGSW<Vec<u8>> = GGSW::alloc(&ggsw_out_infos);
+            let mut ggsw_apply: GGSW<Vec<u8>> = GGSW::alloc(&ggsw_apply_infos);
 
             let mut pt_in: ScalarZnx<Vec<u8>> = ScalarZnx::alloc(n, 1);
             let mut pt_apply: ScalarZnx<Vec<u8>> = ScalarZnx::alloc(n, 1);
@@ -282,9 +282,9 @@ where
             pt_apply.to_mut().raw_mut()[k] = 1; //X^{k}
 
             let mut scratch: ScratchOwned<B> = ScratchOwned::alloc(
-                GGSWCiphertext::encrypt_sk_scratch_space(module, &ggsw_apply_infos)
-                    | GGSWCiphertext::encrypt_sk_scratch_space(module, &ggsw_out_infos)
-                    | GGSWCiphertext::external_product_inplace_scratch_space(module, &ggsw_out_infos, &ggsw_apply_infos),
+                GGSW::encrypt_sk_scratch_space(module, &ggsw_apply_infos)
+                    | GGSW::encrypt_sk_scratch_space(module, &ggsw_out_infos)
+                    | GGSW::external_product_inplace_scratch_space(module, &ggsw_out_infos, &ggsw_apply_infos),
             );
 
             let mut sk: GLWESecret<Vec<u8>> = GLWESecret::alloc_with(n.into(), rank.into());
@@ -309,7 +309,7 @@ where
                 scratch.borrow(),
             );
 
-            let ct_rhs_prepared: GGSWCiphertextPrepared<Vec<u8>, B> = ggsw_apply.prepare_alloc(module, scratch.borrow());
+            let ct_rhs_prepared: GGSWPrepared<Vec<u8>, B> = ggsw_apply.prepare_alloc(module, scratch.borrow());
 
             ggsw_out.external_product_inplace(module, &ct_rhs_prepared, scratch.borrow());
 
diff --git a/poulpy-core/src/tests/test_suite/external_product/glwe_ct.rs b/poulpy-core/src/tests/test_suite/external_product/glwe_ct.rs
index 1a21a0c..efd5af0 100644
--- a/poulpy-core/src/tests/test_suite/external_product/glwe_ct.rs
+++ b/poulpy-core/src/tests/test_suite/external_product/glwe_ct.rs
@@ -17,8 +17,8 @@ use poulpy_hal::{
 use crate::{
     encryption::SIGMA,
     layouts::{
-        GGSWCiphertext, GGSWCiphertextLayout, GLWECiphertext, GLWECiphertextLayout, GLWEPlaintext, GLWESecret,
-        prepared::{GGSWCiphertextPrepared, GLWESecretPrepared, PrepareAlloc},
+        GGSW, GGSWCiphertextLayout, GLWECiphertext, GLWECiphertextLayout, GLWEPlaintext, GLWESecret,
+        prepared::{GGSWPrepared, GLWESecretPrepared, PrepareAlloc},
     },
     noise::noise_ggsw_product,
 };
@@ -96,7 +96,7 @@ where
                 rank: rank.into(),
             };
 
-            let mut ggsw_apply: GGSWCiphertext<Vec<u8>> = GGSWCiphertext::alloc(&ggsw_apply_infos);
+            let mut ggsw_apply: GGSW<Vec<u8>> = GGSW::alloc(&ggsw_apply_infos);
             let mut glwe_in: GLWECiphertext<Vec<u8>> = GLWECiphertext::alloc(&glwe_in_infos);
             let mut glwe_out: GLWECiphertext<Vec<u8>> = GLWECiphertext::alloc(&glwe_out_infos);
             let mut pt_ggsw: ScalarZnx<Vec<u8>> = ScalarZnx::alloc(n, 1);
@@ -116,7 +116,7 @@ where
             pt_ggsw.raw_mut()[k] = 1; // X^{k}
 
             let mut scratch: ScratchOwned<B> = ScratchOwned::alloc(
-                GGSWCiphertext::encrypt_sk_scratch_space(module, &ggsw_apply_infos)
+                GGSW::encrypt_sk_scratch_space(module, &ggsw_apply_infos)
                     | GLWECiphertext::encrypt_sk_scratch_space(module, &glwe_in_infos)
                     | GLWECiphertext::external_product_scratch_space(module, &glwe_out_infos, &glwe_in_infos, &ggsw_apply_infos),
             );
@@ -143,7 +143,7 @@ where
                 scratch.borrow(),
             );
 
-            let ct_ggsw_prepared: GGSWCiphertextPrepared<Vec<u8>, B> = ggsw_apply.prepare_alloc(module, scratch.borrow());
+            let ct_ggsw_prepared: GGSWPrepared<Vec<u8>, B> = ggsw_apply.prepare_alloc(module, scratch.borrow());
 
             glwe_out.external_product(module, &glwe_in, &ct_ggsw_prepared, scratch.borrow());
 
@@ -240,7 +240,7 @@ where
                 rank: rank.into(),
             };
 
-            let mut ggsw_apply: GGSWCiphertext<Vec<u8>> = GGSWCiphertext::alloc(&ggsw_apply_infos);
+            let mut ggsw_apply: GGSW<Vec<u8>> = GGSW::alloc(&ggsw_apply_infos);
             let mut glwe_out: GLWECiphertext<Vec<u8>> = GLWECiphertext::alloc(&glwe_out_infos);
             let mut pt_ggsw: ScalarZnx<Vec<u8>> = ScalarZnx::alloc(n, 1);
             let mut pt_want: GLWEPlaintext<Vec<u8>> = GLWEPlaintext::alloc(&glwe_out_infos);
@@ -259,7 +259,7 @@ where
             pt_ggsw.raw_mut()[k] = 1; // X^{k}
 
             let mut scratch: ScratchOwned<B> = ScratchOwned::alloc(
-                GGSWCiphertext::encrypt_sk_scratch_space(module, &ggsw_apply_infos)
+                GGSW::encrypt_sk_scratch_space(module, &ggsw_apply_infos)
                     | GLWECiphertext::encrypt_sk_scratch_space(module, &glwe_out_infos)
                     | GLWECiphertext::external_product_inplace_scratch_space(module, &glwe_out_infos, &ggsw_apply_infos),
             );
@@ -286,7 +286,7 @@ where
                 scratch.borrow(),
             );
 
-            let ct_ggsw_prepared: GGSWCiphertextPrepared<Vec<u8>, B> = ggsw_apply.prepare_alloc(module, scratch.borrow());
+            let ct_ggsw_prepared: GGSWPrepared<Vec<u8>, B> = ggsw_apply.prepare_alloc(module, scratch.borrow());
 
             glwe_out.external_product_inplace(module, &ct_ggsw_prepared, scratch.borrow());
 
diff --git a/poulpy-core/src/tests/test_suite/keyswitch/gglwe_ct.rs b/poulpy-core/src/tests/test_suite/keyswitch/gglwe_ct.rs
index f131556..dfde51e 100644
--- a/poulpy-core/src/tests/test_suite/keyswitch/gglwe_ct.rs
+++ b/poulpy-core/src/tests/test_suite/keyswitch/gglwe_ct.rs
@@ -18,8 +18,8 @@ use poulpy_hal::{
 use crate::{
     encryption::SIGMA,
     layouts::{
-        GGLWESwitchingKey, GGLWESwitchingKeyLayout, GLWESecret,
-        prepared::{GGLWESwitchingKeyPrepared, GLWESecretPrepared, PrepareAlloc},
+        GLWESecret, GLWESwitchingKey, GLWESwitchingKeyLayout,
+        prepared::{GLWESecretPrepared, GLWESwitchingKeyPrepared, PrepareAlloc},
     },
     noise::log2_std_noise_gglwe_product,
 };
@@ -80,7 +80,7 @@ where
                     let dnum_apply: usize = k_in.div_ceil(base2k * di);
                     let dsize_in: usize = 1;
 
-                    let gglwe_s0s1_infos: GGLWESwitchingKeyLayout = GGLWESwitchingKeyLayout {
+                    let gglwe_s0s1_infos: GLWESwitchingKeyLayout = GLWESwitchingKeyLayout {
                         n: n.into(),
                         base2k: base2k.into(),
                         k: k_in.into(),
@@ -90,7 +90,7 @@ where
                         rank_out: rank_out_s0s1.into(),
                     };
 
-                    let gglwe_s1s2_infos: GGLWESwitchingKeyLayout = GGLWESwitchingKeyLayout {
+                    let gglwe_s1s2_infos: GLWESwitchingKeyLayout = GLWESwitchingKeyLayout {
                         n: n.into(),
                         base2k: base2k.into(),
                         k: k_ksk.into(),
@@ -100,7 +100,7 @@ where
                         rank_out: rank_out_s1s2.into(),
                     };
 
-                    let gglwe_s0s2_infos: GGLWESwitchingKeyLayout = GGLWESwitchingKeyLayout {
+                    let gglwe_s0s2_infos: GLWESwitchingKeyLayout = GLWESwitchingKeyLayout {
                         n: n.into(),
                         base2k: base2k.into(),
                         k: k_out.into(),
@@ -110,20 +110,20 @@ where
                         rank_out: rank_out_s1s2.into(),
                     };
 
-                    let mut gglwe_s0s1: GGLWESwitchingKey<Vec<u8>> = GGLWESwitchingKey::alloc(&gglwe_s0s1_infos);
-                    let mut gglwe_s1s2: GGLWESwitchingKey<Vec<u8>> = GGLWESwitchingKey::alloc(&gglwe_s1s2_infos);
-                    let mut gglwe_s0s2: GGLWESwitchingKey<Vec<u8>> = GGLWESwitchingKey::alloc(&gglwe_s0s2_infos);
+                    let mut gglwe_s0s1: GLWESwitchingKey<Vec<u8>> = GLWESwitchingKey::alloc(&gglwe_s0s1_infos);
+                    let mut gglwe_s1s2: GLWESwitchingKey<Vec<u8>> = GLWESwitchingKey::alloc(&gglwe_s1s2_infos);
+                    let mut gglwe_s0s2: GLWESwitchingKey<Vec<u8>> = GLWESwitchingKey::alloc(&gglwe_s0s2_infos);
 
                     let mut source_xs: Source = Source::new([0u8; 32]);
                     let mut source_xe: Source = Source::new([0u8; 32]);
                     let mut source_xa: Source = Source::new([0u8; 32]);
 
                     let mut scratch_enc: ScratchOwned<B> = ScratchOwned::alloc(
-                        GGLWESwitchingKey::encrypt_sk_scratch_space(module, &gglwe_s0s1_infos)
-                            | GGLWESwitchingKey::encrypt_sk_scratch_space(module, &gglwe_s1s2_infos)
-                            | GGLWESwitchingKey::encrypt_sk_scratch_space(module, &gglwe_s0s2_infos),
+                        GLWESwitchingKey::encrypt_sk_scratch_space(module, &gglwe_s0s1_infos)
+                            | GLWESwitchingKey::encrypt_sk_scratch_space(module, &gglwe_s1s2_infos)
+                            | GLWESwitchingKey::encrypt_sk_scratch_space(module, &gglwe_s0s2_infos),
                     );
-                    let mut scratch_apply: ScratchOwned<B> = ScratchOwned::alloc(GGLWESwitchingKey::keyswitch_scratch_space(
+                    let mut scratch_apply: ScratchOwned<B> = ScratchOwned::alloc(GLWESwitchingKey::keyswitch_scratch_space(
                         module,
                         &gglwe_s0s1_infos,
                         &gglwe_s0s2_infos,
@@ -160,7 +160,7 @@ where
                         scratch_enc.borrow(),
                     );
 
-                    let gglwe_s1s2_prepared: GGLWESwitchingKeyPrepared<Vec<u8>, B> =
+                    let gglwe_s1s2_prepared: GLWESwitchingKeyPrepared<Vec<u8>, B> =
                         gglwe_s1s2.prepare_alloc(module, scratch_apply.borrow());
 
                     // gglwe_{s1}(s0) (x) gglwe_{s2}(s1) = gglwe_{s2}(s0)
@@ -246,7 +246,7 @@ where
                 let dnum: usize = k_out.div_ceil(base2k * di);
                 let dsize_in: usize = 1;
 
-                let gglwe_s0s1_infos: GGLWESwitchingKeyLayout = GGLWESwitchingKeyLayout {
+                let gglwe_s0s1_infos: GLWESwitchingKeyLayout = GLWESwitchingKeyLayout {
                     n: n.into(),
                     base2k: base2k.into(),
                     k: k_out.into(),
@@ -256,7 +256,7 @@ where
                     rank_out: rank_out.into(),
                 };
 
-                let gglwe_s1s2_infos: GGLWESwitchingKeyLayout = GGLWESwitchingKeyLayout {
+                let gglwe_s1s2_infos: GLWESwitchingKeyLayout = GLWESwitchingKeyLayout {
                     n: n.into(),
                     base2k: base2k.into(),
                     k: k_ksk.into(),
@@ -266,18 +266,18 @@ where
                     rank_out: rank_out.into(),
                 };
 
-                let mut gglwe_s0s1: GGLWESwitchingKey<Vec<u8>> = GGLWESwitchingKey::alloc(&gglwe_s0s1_infos);
-                let mut gglwe_s1s2: GGLWESwitchingKey<Vec<u8>> = GGLWESwitchingKey::alloc(&gglwe_s1s2_infos);
+                let mut gglwe_s0s1: GLWESwitchingKey<Vec<u8>> = GLWESwitchingKey::alloc(&gglwe_s0s1_infos);
+                let mut gglwe_s1s2: GLWESwitchingKey<Vec<u8>> = GLWESwitchingKey::alloc(&gglwe_s1s2_infos);
 
                 let mut source_xs: Source = Source::new([0u8; 32]);
                 let mut source_xe: Source = Source::new([0u8; 32]);
                 let mut source_xa: Source = Source::new([0u8; 32]);
 
                 let mut scratch_enc: ScratchOwned<B> = ScratchOwned::alloc(
-                    GGLWESwitchingKey::encrypt_sk_scratch_space(module, &gglwe_s0s1_infos)
-                        | GGLWESwitchingKey::encrypt_sk_scratch_space(module, &gglwe_s1s2_infos),
+                    GLWESwitchingKey::encrypt_sk_scratch_space(module, &gglwe_s0s1_infos)
+                        | GLWESwitchingKey::encrypt_sk_scratch_space(module, &gglwe_s1s2_infos),
                 );
-                let mut scratch_apply: ScratchOwned<B> = ScratchOwned::alloc(GGLWESwitchingKey::keyswitch_inplace_scratch_space(
+                let mut scratch_apply: ScratchOwned<B> = ScratchOwned::alloc(GLWESwitchingKey::keyswitch_inplace_scratch_space(
                     module,
                     &gglwe_s0s1_infos,
                     &gglwe_s1s2_infos,
@@ -315,13 +315,13 @@ where
                     scratch_enc.borrow(),
                 );
 
-                let gglwe_s1s2_prepared: GGLWESwitchingKeyPrepared<Vec<u8>, B> =
+                let gglwe_s1s2_prepared: GLWESwitchingKeyPrepared<Vec<u8>, B> =
                     gglwe_s1s2.prepare_alloc(module, scratch_apply.borrow());
 
                 // gglwe_{s1}(s0) (x) gglwe_{s2}(s1) = gglwe_{s2}(s0)
                 gglwe_s0s1.keyswitch_inplace(module, &gglwe_s1s2_prepared, scratch_apply.borrow());
 
-                let gglwe_s0s2: GGLWESwitchingKey<Vec<u8>> = gglwe_s0s1;
+                let gglwe_s0s2: GLWESwitchingKey<Vec<u8>> = gglwe_s0s1;
 
                 let max_noise: f64 = log2_std_noise_gglwe_product(
                     n as f64,
diff --git a/poulpy-core/src/tests/test_suite/keyswitch/ggsw_ct.rs b/poulpy-core/src/tests/test_suite/keyswitch/ggsw_ct.rs
index c7e7c82..91114a7 100644
--- a/poulpy-core/src/tests/test_suite/keyswitch/ggsw_ct.rs
+++ b/poulpy-core/src/tests/test_suite/keyswitch/ggsw_ct.rs
@@ -18,9 +18,8 @@ use poulpy_hal::{
 use crate::{
     encryption::SIGMA,
     layouts::{
-        GGLWESwitchingKey, GGLWESwitchingKeyLayout, GGLWETensorKey, GGLWETensorKeyLayout, GGSWCiphertext, GGSWCiphertextLayout,
-        GLWESecret,
-        prepared::{GGLWESwitchingKeyPrepared, GGLWETensorKeyPrepared, GLWESecretPrepared, PrepareAlloc},
+        GGSW, GGSWCiphertextLayout, GLWESecret, GLWESwitchingKey, GLWESwitchingKeyLayout, TensorKey, TensorKeyLayout,
+        prepared::{GLWESecretPrepared, GLWESwitchingKeyPrepared, PrepareAlloc, TensorKeyPrepared},
     },
     noise::noise_ggsw_keyswitch,
 };
@@ -103,7 +102,7 @@ where
                 rank: rank.into(),
             };
 
-            let tsk_infos: GGLWETensorKeyLayout = GGLWETensorKeyLayout {
+            let tsk_infos: TensorKeyLayout = TensorKeyLayout {
                 n: n.into(),
                 base2k: base2k.into(),
                 k: k_tsk.into(),
@@ -112,7 +111,7 @@ where
                 rank: rank.into(),
             };
 
-            let ksk_apply_infos: GGLWESwitchingKeyLayout = GGLWESwitchingKeyLayout {
+            let ksk_apply_infos: GLWESwitchingKeyLayout = GLWESwitchingKeyLayout {
                 n: n.into(),
                 base2k: base2k.into(),
                 k: k_ksk.into(),
@@ -122,10 +121,10 @@ where
                 rank_out: rank.into(),
             };
 
-            let mut ggsw_in: GGSWCiphertext<Vec<u8>> = GGSWCiphertext::alloc(&ggsw_in_infos);
-            let mut ggsw_out: GGSWCiphertext<Vec<u8>> = GGSWCiphertext::alloc(&ggsw_out_infos);
-            let mut tsk: GGLWETensorKey<Vec<u8>> = GGLWETensorKey::alloc(&tsk_infos);
-            let mut ksk: GGLWESwitchingKey<Vec<u8>> = GGLWESwitchingKey::alloc(&ksk_apply_infos);
+            let mut ggsw_in: GGSW<Vec<u8>> = GGSW::alloc(&ggsw_in_infos);
+            let mut ggsw_out: GGSW<Vec<u8>> = GGSW::alloc(&ggsw_out_infos);
+            let mut tsk: TensorKey<Vec<u8>> = TensorKey::alloc(&tsk_infos);
+            let mut ksk: GLWESwitchingKey<Vec<u8>> = GLWESwitchingKey::alloc(&ksk_apply_infos);
             let mut pt_scalar: ScalarZnx<Vec<u8>> = ScalarZnx::alloc(n, 1);
 
             let mut source_xs: Source = Source::new([0u8; 32]);
@@ -133,10 +132,10 @@ where
             let mut source_xa: Source = Source::new([0u8; 32]);
 
             let mut scratch: ScratchOwned<B> = ScratchOwned::alloc(
-                GGSWCiphertext::encrypt_sk_scratch_space(module, &ggsw_in_infos)
-                    | GGLWESwitchingKey::encrypt_sk_scratch_space(module, &ksk_apply_infos)
-                    | GGLWETensorKey::encrypt_sk_scratch_space(module, &tsk_infos)
-                    | GGSWCiphertext::keyswitch_scratch_space(
+                GGSW::encrypt_sk_scratch_space(module, &ggsw_in_infos)
+                    | GLWESwitchingKey::encrypt_sk_scratch_space(module, &ksk_apply_infos)
+                    | TensorKey::encrypt_sk_scratch_space(module, &tsk_infos)
+                    | GGSW::keyswitch_scratch_space(
                         module,
                         &ggsw_out_infos,
                         &ggsw_in_infos,
@@ -182,8 +181,8 @@ where
                 scratch.borrow(),
             );
 
-            let ksk_prepared: GGLWESwitchingKeyPrepared<Vec<u8>, B> = ksk.prepare_alloc(module, scratch.borrow());
-            let tsk_prepared: GGLWETensorKeyPrepared<Vec<u8>, B> = tsk.prepare_alloc(module, scratch.borrow());
+            let ksk_prepared: GLWESwitchingKeyPrepared<Vec<u8>, B> = ksk.prepare_alloc(module, scratch.borrow());
+            let tsk_prepared: TensorKeyPrepared<Vec<u8>, B> = tsk.prepare_alloc(module, scratch.borrow());
 
             ggsw_out.keyswitch(
                 module,
@@ -282,7 +281,7 @@ where
                 rank: rank.into(),
             };
 
-            let tsk_infos: GGLWETensorKeyLayout = GGLWETensorKeyLayout {
+            let tsk_infos: TensorKeyLayout = TensorKeyLayout {
                 n: n.into(),
                 base2k: base2k.into(),
                 k: k_tsk.into(),
@@ -291,7 +290,7 @@ where
                 rank: rank.into(),
             };
 
-            let ksk_apply_infos: GGLWESwitchingKeyLayout = GGLWESwitchingKeyLayout {
+            let ksk_apply_infos: GLWESwitchingKeyLayout = GLWESwitchingKeyLayout {
                 n: n.into(),
                 base2k: base2k.into(),
                 k: k_ksk.into(),
@@ -301,9 +300,9 @@ where
                 rank_out: rank.into(),
             };
 
-            let mut ggsw_out: GGSWCiphertext<Vec<u8>> = GGSWCiphertext::alloc(&ggsw_out_infos);
-            let mut tsk: GGLWETensorKey<Vec<u8>> = GGLWETensorKey::alloc(&tsk_infos);
-            let mut ksk: GGLWESwitchingKey<Vec<u8>> = GGLWESwitchingKey::alloc(&ksk_apply_infos);
+            let mut ggsw_out: GGSW<Vec<u8>> = GGSW::alloc(&ggsw_out_infos);
+            let mut tsk: TensorKey<Vec<u8>> = TensorKey::alloc(&tsk_infos);
+            let mut ksk: GLWESwitchingKey<Vec<u8>> = GLWESwitchingKey::alloc(&ksk_apply_infos);
             let mut pt_scalar: ScalarZnx<Vec<u8>> = ScalarZnx::alloc(n, 1);
 
             let mut source_xs: Source = Source::new([0u8; 32]);
@@ -311,10 +310,10 @@ where
             let mut source_xa: Source = Source::new([0u8; 32]);
 
             let mut scratch: ScratchOwned<B> = ScratchOwned::alloc(
-                GGSWCiphertext::encrypt_sk_scratch_space(module, &ggsw_out_infos)
-                    | GGLWESwitchingKey::encrypt_sk_scratch_space(module, &ksk_apply_infos)
-                    | GGLWETensorKey::encrypt_sk_scratch_space(module, &tsk_infos)
-                    | GGSWCiphertext::keyswitch_inplace_scratch_space(module, &ggsw_out_infos, &ksk_apply_infos, &tsk_infos),
+                GGSW::encrypt_sk_scratch_space(module, &ggsw_out_infos)
+                    | GLWESwitchingKey::encrypt_sk_scratch_space(module, &ksk_apply_infos)
+                    | TensorKey::encrypt_sk_scratch_space(module, &tsk_infos)
+                    | GGSW::keyswitch_inplace_scratch_space(module, &ggsw_out_infos, &ksk_apply_infos, &tsk_infos),
             );
 
             let var_xs: f64 = 0.5;
@@ -354,8 +353,8 @@ where
                 scratch.borrow(),
             );
 
-            let ksk_prepared: GGLWESwitchingKeyPrepared<Vec<u8>, B> = ksk.prepare_alloc(module, scratch.borrow());
-            let tsk_prepared: GGLWETensorKeyPrepared<Vec<u8>, B> = tsk.prepare_alloc(module, scratch.borrow());
+            let ksk_prepared: GLWESwitchingKeyPrepared<Vec<u8>, B> = ksk.prepare_alloc(module, scratch.borrow());
+            let tsk_prepared: TensorKeyPrepared<Vec<u8>, B> = tsk.prepare_alloc(module, scratch.borrow());
 
             ggsw_out.keyswitch_inplace(module, &ksk_prepared, &tsk_prepared, scratch.borrow());
 
diff --git a/poulpy-core/src/tests/test_suite/keyswitch/glwe_ct.rs b/poulpy-core/src/tests/test_suite/keyswitch/glwe_ct.rs
index d745f1d..7c8c1ec 100644
--- a/poulpy-core/src/tests/test_suite/keyswitch/glwe_ct.rs
+++ b/poulpy-core/src/tests/test_suite/keyswitch/glwe_ct.rs
@@ -18,8 +18,8 @@ use poulpy_hal::{
 use crate::{
     encryption::SIGMA,
     layouts::{
-        GGLWESwitchingKey, GGLWESwitchingKeyLayout, GLWECiphertext, GLWECiphertextLayout, GLWEPlaintext, GLWESecret,
-        prepared::{GGLWESwitchingKeyPrepared, GLWESecretPrepared, PrepareAlloc},
+        GLWECiphertext, GLWECiphertextLayout, GLWEPlaintext, GLWESecret, GLWESwitchingKey, GLWESwitchingKeyLayout,
+        prepared::{GLWESecretPrepared, GLWESwitchingKeyPrepared, PrepareAlloc},
     },
     noise::log2_std_noise_gglwe_product,
 };
@@ -91,7 +91,7 @@ where
                     rank: rank_out.into(),
                 };
 
-                let key_apply: GGLWESwitchingKeyLayout = GGLWESwitchingKeyLayout {
+                let key_apply: GLWESwitchingKeyLayout = GLWESwitchingKeyLayout {
                     n: n.into(),
                     base2k: base2k.into(),
                     k: k_ksk.into(),
@@ -101,7 +101,7 @@ where
                     rank_out: rank_out.into(),
                 };
 
-                let mut ksk: GGLWESwitchingKey<Vec<u8>> = GGLWESwitchingKey::alloc(&key_apply);
+                let mut ksk: GLWESwitchingKey<Vec<u8>> = GLWESwitchingKey::alloc(&key_apply);
                 let mut glwe_in: GLWECiphertext<Vec<u8>> = GLWECiphertext::alloc(&glwe_in_infos);
                 let mut glwe_out: GLWECiphertext<Vec<u8>> = GLWECiphertext::alloc(&glwe_out_infos);
                 let mut pt_want: GLWEPlaintext<Vec<u8>> = GLWEPlaintext::alloc(&glwe_in_infos);
@@ -113,7 +113,7 @@ where
                 module.vec_znx_fill_uniform(base2k, &mut pt_want.data, 0, &mut source_xa);
 
                 let mut scratch: ScratchOwned<B> = ScratchOwned::alloc(
-                    GGLWESwitchingKey::encrypt_sk_scratch_space(module, &key_apply)
+                    GLWESwitchingKey::encrypt_sk_scratch_space(module, &key_apply)
                         | GLWECiphertext::encrypt_sk_scratch_space(module, &glwe_in_infos)
                         | GLWECiphertext::keyswitch_scratch_space(module, &glwe_out_infos, &glwe_in_infos, &key_apply),
                 );
@@ -144,7 +144,7 @@ where
                     scratch.borrow(),
                 );
 
-                let ksk_prepared: GGLWESwitchingKeyPrepared<Vec<u8>, B> = ksk.prepare_alloc(module, scratch.borrow());
+                let ksk_prepared: GLWESwitchingKeyPrepared<Vec<u8>, B> = ksk.prepare_alloc(module, scratch.borrow());
 
                 glwe_out.keyswitch(module, &glwe_in, &ksk_prepared, scratch.borrow());
 
@@ -224,7 +224,7 @@ where
                 rank: rank.into(),
             };
 
-            let key_apply_infos: GGLWESwitchingKeyLayout = GGLWESwitchingKeyLayout {
+            let key_apply_infos: GLWESwitchingKeyLayout = GLWESwitchingKeyLayout {
                 n: n.into(),
                 base2k: base2k.into(),
                 k: k_ksk.into(),
@@ -234,7 +234,7 @@ where
                 rank_out: rank.into(),
             };
 
-            let mut key_apply: GGLWESwitchingKey<Vec<u8>> = GGLWESwitchingKey::alloc(&key_apply_infos);
+            let mut key_apply: GLWESwitchingKey<Vec<u8>> = GLWESwitchingKey::alloc(&key_apply_infos);
             let mut glwe_out: GLWECiphertext<Vec<u8>> = GLWECiphertext::alloc(&glwe_out_infos);
             let mut pt_want: GLWEPlaintext<Vec<u8>> = GLWEPlaintext::alloc(&glwe_out_infos);
 
@@ -245,7 +245,7 @@ where
             module.vec_znx_fill_uniform(base2k, &mut pt_want.data, 0, &mut source_xa);
 
             let mut scratch: ScratchOwned<B> = ScratchOwned::alloc(
-                GGLWESwitchingKey::encrypt_sk_scratch_space(module, &key_apply_infos)
+                GLWESwitchingKey::encrypt_sk_scratch_space(module, &key_apply_infos)
                     | GLWECiphertext::encrypt_sk_scratch_space(module, &glwe_out_infos)
                     | GLWECiphertext::keyswitch_inplace_scratch_space(module, &glwe_out_infos, &key_apply_infos),
             );
@@ -276,7 +276,7 @@ where
                 scratch.borrow(),
             );
 
-            let ksk_prepared: GGLWESwitchingKeyPrepared<Vec<u8>, B> = key_apply.prepare_alloc(module, scratch.borrow());
+            let ksk_prepared: GLWESwitchingKeyPrepared<Vec<u8>, B> = key_apply.prepare_alloc(module, scratch.borrow());
 
             glwe_out.keyswitch_inplace(module, &ksk_prepared, scratch.borrow());
 
diff --git a/poulpy-core/src/tests/test_suite/packing.rs b/poulpy-core/src/tests/test_suite/packing.rs
index de7fc9d..354738b 100644
--- a/poulpy-core/src/tests/test_suite/packing.rs
+++ b/poulpy-core/src/tests/test_suite/packing.rs
@@ -21,8 +21,8 @@ use poulpy_hal::{
 use crate::{
     GLWEOperations, GLWEPacker,
     layouts::{
-        GGLWEAutomorphismKey, GGLWEAutomorphismKeyLayout, GLWECiphertext, GLWECiphertextLayout, GLWEPlaintext, GLWESecret,
-        prepared::{GGLWEAutomorphismKeyPrepared, GLWESecretPrepared, PrepareAlloc},
+        AutomorphismKey, AutomorphismKeyLayout, GLWECiphertext, GLWECiphertextLayout, GLWEPlaintext, GLWESecret,
+        prepared::{AutomorphismKeyPrepared, GLWESecretPrepared, PrepareAlloc},
     },
 };
 
@@ -95,7 +95,7 @@ where
         rank: rank.into(),
     };
 
-    let key_infos: GGLWEAutomorphismKeyLayout = GGLWEAutomorphismKeyLayout {
+    let key_infos: AutomorphismKeyLayout = AutomorphismKeyLayout {
         n: n.into(),
         base2k: base2k.into(),
         k: k_ksk.into(),
@@ -106,7 +106,7 @@ where
 
     let mut scratch: ScratchOwned<B> = ScratchOwned::alloc(
         GLWECiphertext::encrypt_sk_scratch_space(module, &glwe_out_infos)
-            | GGLWEAutomorphismKey::encrypt_sk_scratch_space(module, &key_infos)
+            | AutomorphismKey::encrypt_sk_scratch_space(module, &key_infos)
             | GLWEPacker::scratch_space(module, &glwe_out_infos, &key_infos),
     );
 
@@ -124,8 +124,8 @@ where
 
     let gal_els: Vec<i64> = GLWEPacker::galois_elements(module);
 
-    let mut auto_keys: HashMap<i64, GGLWEAutomorphismKeyPrepared<Vec<u8>, B>> = HashMap::new();
-    let mut tmp: GGLWEAutomorphismKey<Vec<u8>> = GGLWEAutomorphismKey::alloc(&key_infos);
+    let mut auto_keys: HashMap<i64, AutomorphismKeyPrepared<Vec<u8>, B>> = HashMap::new();
+    let mut tmp: AutomorphismKey<Vec<u8>> = AutomorphismKey::alloc(&key_infos);
     gal_els.iter().for_each(|gal_el| {
         tmp.encrypt_sk(
             module,
@@ -135,7 +135,7 @@ where
             &mut source_xe,
             scratch.borrow(),
         );
-        let atk_prepared: GGLWEAutomorphismKeyPrepared<Vec<u8>, B> = tmp.prepare_alloc(module, scratch.borrow());
+        let atk_prepared: AutomorphismKeyPrepared<Vec<u8>, B> = tmp.prepare_alloc(module, scratch.borrow());
         auto_keys.insert(*gal_el, atk_prepared);
     });
 
diff --git a/poulpy-core/src/tests/test_suite/trace.rs b/poulpy-core/src/tests/test_suite/trace.rs
index bf348ca..d3a8976 100644
--- a/poulpy-core/src/tests/test_suite/trace.rs
+++ b/poulpy-core/src/tests/test_suite/trace.rs
@@ -21,9 +21,8 @@ use poulpy_hal::{
 use crate::{
     encryption::SIGMA,
     layouts::{
-        GGLWEAutomorphismKey, GGLWEAutomorphismKeyLayout, GLWECiphertext, GLWECiphertextLayout, GLWEPlaintext, GLWESecret,
-        LWEInfos,
-        prepared::{GGLWEAutomorphismKeyPrepared, GLWESecretPrepared, PrepareAlloc},
+        AutomorphismKey, AutomorphismKeyLayout, GLWECiphertext, GLWECiphertextLayout, GLWEPlaintext, GLWESecret, LWEInfos,
+        prepared::{AutomorphismKeyPrepared, GLWESecretPrepared, PrepareAlloc},
     },
     noise::var_noise_gglwe_product,
 };
@@ -90,7 +89,7 @@ where
             rank: rank.into(),
         };
 
-        let key_infos: GGLWEAutomorphismKeyLayout = GGLWEAutomorphismKeyLayout {
+        let key_infos: AutomorphismKeyLayout = AutomorphismKeyLayout {
             n: n.into(),
             base2k: base2k.into(),
             k: k_autokey.into(),
@@ -110,7 +109,7 @@ where
         let mut scratch: ScratchOwned<B> = ScratchOwned::alloc(
             GLWECiphertext::encrypt_sk_scratch_space(module, &glwe_out_infos)
                 | GLWECiphertext::decrypt_scratch_space(module, &glwe_out_infos)
-                | GGLWEAutomorphismKey::encrypt_sk_scratch_space(module, &key_infos)
+                | AutomorphismKey::encrypt_sk_scratch_space(module, &key_infos)
                 | GLWECiphertext::trace_inplace_scratch_space(module, &glwe_out_infos, &key_infos),
         );
 
@@ -135,9 +134,9 @@ where
             scratch.borrow(),
         );
 
-        let mut auto_keys: HashMap<i64, GGLWEAutomorphismKeyPrepared<Vec<u8>, B>> = HashMap::new();
+        let mut auto_keys: HashMap<i64, AutomorphismKeyPrepared<Vec<u8>, B>> = HashMap::new();
         let gal_els: Vec<i64> = GLWECiphertext::trace_galois_elements(module);
-        let mut tmp: GGLWEAutomorphismKey<Vec<u8>> = GGLWEAutomorphismKey::alloc(&key_infos);
+        let mut tmp: AutomorphismKey<Vec<u8>> = AutomorphismKey::alloc(&key_infos);
         gal_els.iter().for_each(|gal_el| {
             tmp.encrypt_sk(
                 module,
@@ -147,7 +146,7 @@ where
                 &mut source_xe,
                 scratch.borrow(),
             );
-            let atk_prepared: GGLWEAutomorphismKeyPrepared<Vec<u8>, B> = tmp.prepare_alloc(module, scratch.borrow());
+            let atk_prepared: AutomorphismKeyPrepared<Vec<u8>, B> = tmp.prepare_alloc(module, scratch.borrow());
             auto_keys.insert(*gal_el, atk_prepared);
         });
 
diff --git a/poulpy-schemes/benches/circuit_bootstrapping.rs b/poulpy-schemes/benches/circuit_bootstrapping.rs
index 47c848e..12a44fd 100644
--- a/poulpy-schemes/benches/circuit_bootstrapping.rs
+++ b/poulpy-schemes/benches/circuit_bootstrapping.rs
@@ -3,8 +3,8 @@ use std::hint::black_box;
 use criterion::{BenchmarkId, Criterion, criterion_group, criterion_main};
 use poulpy_backend::{FFT64Avx, FFT64Ref, FFT64Spqlios};
 use poulpy_core::layouts::{
-    Dsize, GGLWEAutomorphismKeyLayout, GGLWETensorKeyLayout, GGSWCiphertext, GGSWCiphertextLayout, GLWESecret, LWECiphertext,
-    LWECiphertextLayout, LWESecret, prepared::PrepareAlloc,
+    AutomorphismKeyLayout, Dsize, GGSW, GGSWCiphertextLayout, GLWESecret, LWECiphertext, LWECiphertextLayout, LWESecret,
+    TensorKeyLayout, prepared::PrepareAlloc,
 };
 use poulpy_hal::{
     api::{
@@ -218,7 +218,7 @@ where
             scratch.borrow(),
         );
 
-        let mut res: GGSWCiphertext<Vec<u8>> = GGSWCiphertext::alloc(&params.ggsw_infos);
+        let mut res: GGSW<Vec<u8>> = GGSW::alloc(&params.ggsw_infos);
         let cbt_prepared: CircuitBootstrappingKeyPrepared<Vec<u8>, BRA, B> = cbt_key.prepare_alloc(&module, scratch.borrow());
 
         move || {
@@ -261,7 +261,7 @@ where
                 dnum: 3_u32.into(),
                 rank: 2_u32.into(),
             },
-            layout_atk: GGLWEAutomorphismKeyLayout {
+            layout_atk: AutomorphismKeyLayout {
                 n: 1024_u32.into(),
                 base2k: 13_u32.into(),
                 k: 52_u32.into(),
@@ -269,7 +269,7 @@ where
                 dsize: Dsize(1),
                 rank: 2_u32.into(),
             },
-            layout_tsk: GGLWETensorKeyLayout {
+            layout_tsk: TensorKeyLayout {
                 n: 1024_u32.into(),
                 base2k: 13_u32.into(),
                 k: 52_u32.into(),
diff --git a/poulpy-schemes/examples/circuit_bootstrapping.rs b/poulpy-schemes/examples/circuit_bootstrapping.rs
index 4fec699..2ac8eb2 100644
--- a/poulpy-schemes/examples/circuit_bootstrapping.rs
+++ b/poulpy-schemes/examples/circuit_bootstrapping.rs
@@ -1,9 +1,9 @@
 use poulpy_core::{
     GLWEOperations,
     layouts::{
-        GGLWEAutomorphismKeyLayout, GGLWETensorKeyLayout, GGSWCiphertext, GGSWCiphertextLayout, GLWECiphertext,
-        GLWECiphertextLayout, GLWEPlaintext, GLWESecret, LWECiphertext, LWECiphertextLayout, LWEInfos, LWEPlaintext, LWESecret,
-        prepared::{GGSWCiphertextPrepared, GLWESecretPrepared, PrepareAlloc},
+        AutomorphismKeyLayout, GGSW, GGSWCiphertextLayout, GLWECiphertext, GLWECiphertextLayout, GLWEPlaintext, GLWESecret,
+        LWECiphertext, LWECiphertextLayout, LWEInfos, LWEPlaintext, LWESecret, TensorKeyLayout,
+        prepared::{GGSWPrepared, GLWESecretPrepared, PrepareAlloc},
     },
 };
 use std::time::Instant;
@@ -89,7 +89,7 @@ fn main() {
             dnum: rows_brk.into(),
             rank: rank.into(),
         },
-        layout_atk: GGLWEAutomorphismKeyLayout {
+        layout_atk: AutomorphismKeyLayout {
             n: n_glwe.into(),
             base2k: base2k.into(),
             k: k_trace.into(),
@@ -97,7 +97,7 @@ fn main() {
             dsize: 1_u32.into(),
             rank: rank.into(),
         },
-        layout_tsk: GGLWETensorKeyLayout {
+        layout_tsk: TensorKeyLayout {
             n: n_glwe.into(),
             base2k: base2k.into(),
             k: k_tsk.into(),
@@ -187,7 +187,7 @@ fn main() {
     println!("CBT-KGEN: {} ms", now.elapsed().as_millis());
 
     // Output GGSW
-    let mut res: GGSWCiphertext<Vec<u8>> = GGSWCiphertext::alloc(&ggsw_infos);
+    let mut res: GGSW<Vec<u8>> = GGSW::alloc(&ggsw_infos);
 
     // Circuit bootstrapping key prepared (opaque backend dependant write only struct)
     let cbt_prepared: CircuitBootstrappingKeyPrepared<Vec<u8>, CGGI, BackendImpl> =
@@ -249,7 +249,7 @@ fn main() {
     );
 
     // Prepare GGSW output of circuit bootstrapping (opaque backend dependant write only struct)
-    let res_prepared: GGSWCiphertextPrepared<Vec<u8>, BackendImpl> = res.prepare_alloc(&module, scratch.borrow());
+    let res_prepared: GGSWPrepared<Vec<u8>, BackendImpl> = res.prepare_alloc(&module, scratch.borrow());
 
     // Apply GLWE x GGSW
     ct_glwe.external_product_inplace(&module, &res_prepared, scratch.borrow());
diff --git a/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/block_prepared.rs b/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/block_prepared.rs
index 3cd50a6..3213894 100644
--- a/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/block_prepared.rs
+++ b/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/block_prepared.rs
@@ -1,12 +1,10 @@
 use std::marker::PhantomData;
 
-use poulpy_core::layouts::{
-    Base2K, Dnum, Dsize, GGSWInfos, GLWEInfos, LWEInfos, Rank, TorusPrecision, prepared::GGSWCiphertextPrepared,
-};
+use poulpy_core::layouts::{Base2K, Dnum, Dsize, GGSWInfos, GLWEInfos, LWEInfos, Rank, TorusPrecision, prepared::GGSWPrepared};
 #[cfg(test)]
 use poulpy_core::{
     TakeGGSW,
-    layouts::{GGSWCiphertext, prepared::GLWESecretPrepared},
+    layouts::{GGSW, prepared::GLWESecretPrepared},
 };
 use poulpy_hal::{
     api::VmpPMatAlloc,
@@ -29,7 +27,7 @@ use crate::tfhe::bdd_arithmetic::{FheUintBlocks, FheUintPrepare, ToBits, Unsigne
 
 #[cfg(test)]
 pub(crate) struct FheUintBlocksPrepDebug<D: Data, T: UnsignedInteger> {
-    pub(crate) blocks: Vec<GGSWCiphertext<D>>,
+    pub(crate) blocks: Vec<GGSW<D>>,
     pub(crate) _base: u8,
     pub(crate) _phantom: PhantomData<T>,
 }
@@ -62,7 +60,7 @@ impl<T: UnsignedInteger> FheUintBlocksPrepDebug<Vec<u8>, T> {
     ) -> Self {
         Self {
             blocks: (0..T::WORD_SIZE)
-                .map(|_| GGSWCiphertext::alloc_with(module.n().into(), base2k, k, rank, dnum, dsize))
+                .map(|_| GGSW::alloc_with(module.n().into(), base2k, k, rank, dnum, dsize))
                 .collect(),
             _base: 1,
             _phantom: PhantomData,
@@ -72,7 +70,7 @@ impl<T: UnsignedInteger> FheUintBlocksPrepDebug<Vec<u8>, T> {
 
 /// A prepared FHE ciphertext encrypting the bits of an [UnsignedInteger].
 pub struct FheUintBlocksPrep<D: Data, B: Backend, T: UnsignedInteger> {
-    pub(crate) blocks: Vec<GGSWCiphertextPrepared<D, B>>,
+    pub(crate) blocks: Vec<GGSWPrepared<D, B>>,
     pub(crate) _base: u8,
     pub(crate) _phantom: PhantomData<T>,
 }
@@ -103,7 +101,7 @@ where
     {
         Self {
             blocks: (0..T::WORD_SIZE)
-                .map(|_| GGSWCiphertextPrepared::alloc_with(module, base2k, k, dnum, dsize, rank))
+                .map(|_| GGSWPrepared::alloc_with(module, base2k, k, dnum, dsize, rank))
                 .collect(),
             _base: 1,
             _phantom: PhantomData,
diff --git a/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/word.rs b/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/word.rs
index cc754bc..b09b8a5 100644
--- a/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/word.rs
+++ b/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/word.rs
@@ -3,7 +3,7 @@ use poulpy_core::{
     GLWEOperations, TakeGLWECtSlice, TakeGLWEPt, glwe_packing,
     layouts::{
         GLWECiphertext, GLWEInfos, GLWEPlaintextLayout, LWEInfos, TorusPrecision,
-        prepared::{GGLWEAutomorphismKeyPrepared, GLWESecretPrepared},
+        prepared::{AutomorphismKeyPrepared, GLWESecretPrepared},
     },
 };
 use poulpy_hal::{
@@ -32,7 +32,7 @@ impl<D: DataMut, T: UnsignedInteger> FheUintWord<D, T> {
         &mut self,
         module: &Module<BE>,
         mut tmp_res: Vec<GLWECiphertext<&mut [u8]>>,
-        auto_keys: &HashMap<i64, GGLWEAutomorphismKeyPrepared<ATK, BE>>,
+        auto_keys: &HashMap<i64, AutomorphismKeyPrepared<ATK, BE>>,
         scratch: &mut Scratch<BE>,
     ) where
         ATK: DataRef,
diff --git a/poulpy-schemes/src/tfhe/bdd_arithmetic/eval.rs b/poulpy-schemes/src/tfhe/bdd_arithmetic/eval.rs
index 98e1083..13f34e1 100644
--- a/poulpy-schemes/src/tfhe/bdd_arithmetic/eval.rs
+++ b/poulpy-schemes/src/tfhe/bdd_arithmetic/eval.rs
@@ -3,7 +3,7 @@ use poulpy_core::{
     GLWEExternalProductInplace, GLWEOperations, TakeGLWECtSlice,
     layouts::{
         GLWECiphertext, GLWECiphertextToMut, LWEInfos,
-        prepared::{GGSWCiphertextPrepared, GGSWCiphertextPreparedToRef},
+        prepared::{GGSWCiphertextPreparedToRef, GGSWPrepared},
     },
 };
 use poulpy_hal::{
@@ -164,7 +164,7 @@ pub trait Cmux<BE: Backend> {
         out: &mut GLWECiphertext<O>,
         t: &GLWECiphertext<T>,
         f: &GLWECiphertext<F>,
-        s: &GGSWCiphertextPrepared<S, BE>,
+        s: &GGSWPrepared<S, BE>,
         scratch: &mut Scratch<BE>,
     ) where
         O: DataMut,
@@ -182,7 +182,7 @@ where
         out: &mut GLWECiphertext<O>,
         t: &GLWECiphertext<T>,
         f: &GLWECiphertext<F>,
-        s: &GGSWCiphertextPrepared<S, BE>,
+        s: &GGSWPrepared<S, BE>,
         scratch: &mut Scratch<BE>,
     ) where
         O: DataMut,
diff --git a/poulpy-schemes/src/tfhe/bdd_arithmetic/key.rs b/poulpy-schemes/src/tfhe/bdd_arithmetic/key.rs
index febabed..322a2e2 100644
--- a/poulpy-schemes/src/tfhe/bdd_arithmetic/key.rs
+++ b/poulpy-schemes/src/tfhe/bdd_arithmetic/key.rs
@@ -11,7 +11,7 @@ use crate::tfhe::{
 use poulpy_core::{
     TakeGGSW, TakeGLWECt,
     layouts::{
-        GLWESecret, GLWEToLWEKey, GLWEToLWEKeyLayout, LWECiphertext, LWESecret,
+        GLWESecret, GLWEToLWEKeyLayout, GLWEToLWESwitchingKey, LWECiphertext, LWESecret,
         prepared::{GLWEToLWESwitchingKeyPrepared, Prepare, PrepareAlloc},
     },
 };
@@ -56,7 +56,7 @@ where
     BRA: BlindRotationAlgo,
 {
     cbt: CircuitBootstrappingKey<CBT, BRA>,
-    ks: GLWEToLWEKey<LWE>,
+    ks: GLWEToLWESwitchingKey<LWE>,
 }
 
 impl<BRA: BlindRotationAlgo> BDDKey<Vec<u8>, Vec<u8>, BRA> {
@@ -98,7 +98,7 @@ impl<BRA: BlindRotationAlgo> BDDKey<Vec<u8>, Vec<u8>, BRA> {
             + VecZnxAutomorphismInplace<BE>,
         Scratch<BE>: TakeVecZnxDft<BE> + ScratchAvailable + TakeVecZnx + TakeScalarZnx + TakeSvpPPol<BE> + TakeVecZnxBig<BE>,
     {
-        let mut ks: GLWEToLWEKey<Vec<u8>> = GLWEToLWEKey::alloc(&infos.ks_infos());
+        let mut ks: GLWEToLWESwitchingKey<Vec<u8>> = GLWEToLWESwitchingKey::alloc(&infos.ks_infos());
         ks.encrypt_sk(module, sk_lwe, sk_glwe, source_xa, source_xe, scratch);
 
         Self {
@@ -131,7 +131,7 @@ impl<CBT: DataMut, LWE: DataMut, BRA: BlindRotationAlgo, BE: Backend> PrepareAll
     for BDDKey<CBT, LWE, BRA>
 where
     CircuitBootstrappingKey<CBT, BRA>: PrepareAlloc<BE, CircuitBootstrappingKeyPrepared<CBT, BRA, BE>>,
-    GLWEToLWEKey<LWE>: PrepareAlloc<BE, GLWEToLWESwitchingKeyPrepared<LWE, BE>>,
+    GLWEToLWESwitchingKey<LWE>: PrepareAlloc<BE, GLWEToLWESwitchingKeyPrepared<LWE, BE>>,
 {
     fn prepare_alloc(&self, module: &Module<BE>, scratch: &mut Scratch<BE>) -> BDDKeyPrepared<CBT, LWE, BRA, BE> {
         BDDKeyPrepared {
diff --git a/poulpy-schemes/src/tfhe/bdd_arithmetic/parameters.rs b/poulpy-schemes/src/tfhe/bdd_arithmetic/parameters.rs
index 6b56f79..5a7ae97 100644
--- a/poulpy-schemes/src/tfhe/bdd_arithmetic/parameters.rs
+++ b/poulpy-schemes/src/tfhe/bdd_arithmetic/parameters.rs
@@ -1,7 +1,7 @@
 #[cfg(test)]
 use poulpy_core::layouts::{
-    Base2K, Degree, Dnum, Dsize, GGLWEAutomorphismKeyLayout, GGLWETensorKeyLayout, GGSWCiphertextLayout, GLWECiphertextLayout,
-    GLWEToLWEKeyLayout, Rank, TorusPrecision,
+    AutomorphismKeyLayout, Base2K, Degree, Dnum, Dsize, GGSWCiphertextLayout, GLWECiphertextLayout, GLWEToLWEKeyLayout, Rank,
+    TensorKeyLayout, TorusPrecision,
 };
 
 #[cfg(test)]
@@ -53,7 +53,7 @@ pub(crate) static TEST_BDD_KEY_LAYOUT: BDDKeyLayout = BDDKeyLayout {
             dnum: Dnum(3),
             rank: Rank(TEST_RANK),
         },
-        layout_atk: GGLWEAutomorphismKeyLayout {
+        layout_atk: AutomorphismKeyLayout {
             n: Degree(TEST_N_GLWE),
             base2k: Base2K(TEST_BASE2K),
             k: TorusPrecision(52),
@@ -61,7 +61,7 @@ pub(crate) static TEST_BDD_KEY_LAYOUT: BDDKeyLayout = BDDKeyLayout {
             dnum: Dnum(3),
             dsize: Dsize(1),
         },
-        layout_tsk: GGLWETensorKeyLayout {
+        layout_tsk: TensorKeyLayout {
             n: Degree(TEST_N_GLWE),
             base2k: Base2K(TEST_BASE2K),
             k: TorusPrecision(52),
diff --git a/poulpy-schemes/src/tfhe/blind_rotation/cggi_key.rs b/poulpy-schemes/src/tfhe/blind_rotation/cggi_key.rs
index fbf506b..a8fa39a 100644
--- a/poulpy-schemes/src/tfhe/blind_rotation/cggi_key.rs
+++ b/poulpy-schemes/src/tfhe/blind_rotation/cggi_key.rs
@@ -14,9 +14,9 @@ use std::marker::PhantomData;
 use poulpy_core::{
     Distribution,
     layouts::{
-        GGSWCiphertext, GGSWInfos, LWESecret,
+        GGSW, GGSWInfos, LWESecret,
         compressed::GGSWCiphertextCompressed,
-        prepared::{GGSWCiphertextPrepared, GLWESecretPrepared},
+        prepared::{GGSWPrepared, GLWESecretPrepared},
     },
 };
 
@@ -30,9 +30,9 @@ impl BlindRotationKeyAlloc for BlindRotationKey<Vec<u8>, CGGI> {
     where
         A: BlindRotationKeyInfos,
     {
-        let mut data: Vec<GGSWCiphertext<Vec<u8>>> = Vec::with_capacity(infos.n_lwe().into());
+        let mut data: Vec<GGSW<Vec<u8>>> = Vec::with_capacity(infos.n_lwe().into());
         for _ in 0..infos.n_lwe().as_usize() {
-            data.push(GGSWCiphertext::alloc(infos));
+            data.push(GGSW::alloc(infos));
         }
 
         Self {
@@ -49,7 +49,7 @@ impl BlindRotationKey<Vec<u8>, CGGI> {
         A: GGSWInfos,
         Module<B>: VecZnxNormalizeTmpBytes + VecZnxDftAllocBytes,
     {
-        GGSWCiphertext::encrypt_sk_scratch_space(module, infos)
+        GGSW::encrypt_sk_scratch_space(module, infos)
     }
 }
 
@@ -121,8 +121,8 @@ where
     where
         A: BlindRotationKeyInfos,
     {
-        let mut data: Vec<GGSWCiphertextPrepared<Vec<u8>, B>> = Vec::with_capacity(infos.n_lwe().into());
-        (0..infos.n_lwe().as_usize()).for_each(|_| data.push(GGSWCiphertextPrepared::alloc(module, infos)));
+        let mut data: Vec<GGSWPrepared<Vec<u8>, B>> = Vec::with_capacity(infos.n_lwe().into());
+        (0..infos.n_lwe().as_usize()).for_each(|_| data.push(GGSWPrepared::alloc(module, infos)));
         Self {
             data,
             dist: Distribution::NONE,
diff --git a/poulpy-schemes/src/tfhe/blind_rotation/key.rs b/poulpy-schemes/src/tfhe/blind_rotation/key.rs
index 86dbd21..d9bb0a9 100644
--- a/poulpy-schemes/src/tfhe/blind_rotation/key.rs
+++ b/poulpy-schemes/src/tfhe/blind_rotation/key.rs
@@ -8,7 +8,7 @@ use std::{fmt, marker::PhantomData};
 use poulpy_core::{
     Distribution,
     layouts::{
-        Base2K, Degree, Dnum, Dsize, GGSWCiphertext, GGSWInfos, GLWEInfos, LWEInfos, LWESecret, Rank, TorusPrecision,
+        Base2K, Degree, Dnum, Dsize, GGSW, GGSWInfos, GLWEInfos, LWEInfos, LWESecret, Rank, TorusPrecision,
         prepared::GLWESecretPrepared,
     },
 };
@@ -98,7 +98,7 @@ pub trait BlindRotationKeyEncryptSk<B: Backend> {
 
 #[derive(Clone)]
 pub struct BlindRotationKey<D: Data, BRT: BlindRotationAlgo> {
-    pub(crate) keys: Vec<GGSWCiphertext<D>>,
+    pub(crate) keys: Vec<GGSW<D>>,
     pub(crate) dist: Distribution,
     pub(crate) _phantom: PhantomData<BRT>,
 }
diff --git a/poulpy-schemes/src/tfhe/blind_rotation/key_prepared.rs b/poulpy-schemes/src/tfhe/blind_rotation/key_prepared.rs
index 8719de4..2001083 100644
--- a/poulpy-schemes/src/tfhe/blind_rotation/key_prepared.rs
+++ b/poulpy-schemes/src/tfhe/blind_rotation/key_prepared.rs
@@ -9,7 +9,7 @@ use poulpy_core::{
     Distribution,
     layouts::{
         Base2K, Degree, Dnum, Dsize, GGSWInfos, GLWEInfos, LWEInfos, Rank, TorusPrecision,
-        prepared::{GGSWCiphertextPrepared, Prepare, PrepareAlloc},
+        prepared::{GGSWPrepared, Prepare, PrepareAlloc},
     },
 };
 
@@ -23,7 +23,7 @@ pub trait BlindRotationKeyPreparedAlloc<B: Backend> {
 
 #[derive(PartialEq, Eq)]
 pub struct BlindRotationKeyPrepared<D: Data, BRT: BlindRotationAlgo, B: Backend> {
-    pub(crate) data: Vec<GGSWCiphertextPrepared<D, B>>,
+    pub(crate) data: Vec<GGSWPrepared<D, B>>,
     pub(crate) dist: Distribution,
     pub(crate) x_pow_a: Option<Vec<SvpPPol<Vec<u8>, B>>>,
     pub(crate) _phantom: PhantomData<BRT>,
diff --git a/poulpy-schemes/src/tfhe/circuit_bootstrapping/circuit.rs b/poulpy-schemes/src/tfhe/circuit_bootstrapping/circuit.rs
index 45b9717..22e7a7a 100644
--- a/poulpy-schemes/src/tfhe/circuit_bootstrapping/circuit.rs
+++ b/poulpy-schemes/src/tfhe/circuit_bootstrapping/circuit.rs
@@ -20,7 +20,7 @@ use poulpy_core::{
 };
 
 use poulpy_core::glwe_packing;
-use poulpy_core::layouts::{GGSWCiphertext, GLWECiphertext, LWECiphertext, prepared::GGLWEAutomorphismKeyPrepared};
+use poulpy_core::layouts::{GGSW, GLWECiphertext, LWECiphertext, prepared::AutomorphismKeyPrepared};
 
 use crate::tfhe::{
     blind_rotation::{
@@ -74,7 +74,7 @@ where
     fn execute_to_constant<DM: DataMut, DR: DataRef>(
         &self,
         module: &Module<B>,
-        res: &mut GGSWCiphertext<DM>,
+        res: &mut GGSW<DM>,
         lwe: &LWECiphertext<DR>,
         log_domain: usize,
         extension_factor: usize,
@@ -97,7 +97,7 @@ where
         &self,
         module: &Module<B>,
         log_gap_out: usize,
-        res: &mut GGSWCiphertext<DM>,
+        res: &mut GGSW<DM>,
         lwe: &LWECiphertext<DR>,
         log_domain: usize,
         extension_factor: usize,
@@ -122,7 +122,7 @@ pub fn circuit_bootstrap_core<DRes, DLwe, DBrk, BRA: BlindRotationAlgo, B>(
     to_exponent: bool,
     module: &Module<B>,
     log_gap_out: usize,
-    res: &mut GGSWCiphertext<DRes>,
+    res: &mut GGSW<DRes>,
     lwe: &LWECiphertext<DLwe>,
     log_domain: usize,
     extension_factor: usize,
@@ -268,7 +268,7 @@ fn post_process<DataRes, DataA, B: Backend>(
     log_gap_in: usize,
     log_gap_out: usize,
     log_domain: usize,
-    auto_keys: &HashMap<i64, GGLWEAutomorphismKeyPrepared<Vec<u8>, B>>,
+    auto_keys: &HashMap<i64, AutomorphismKeyPrepared<Vec<u8>, B>>,
     scratch: &mut Scratch<B>,
 ) where
     DataRes: DataMut,
diff --git a/poulpy-schemes/src/tfhe/circuit_bootstrapping/key.rs b/poulpy-schemes/src/tfhe/circuit_bootstrapping/key.rs
index 427cf75..3d91943 100644
--- a/poulpy-schemes/src/tfhe/circuit_bootstrapping/key.rs
+++ b/poulpy-schemes/src/tfhe/circuit_bootstrapping/key.rs
@@ -1,7 +1,7 @@
 use poulpy_core::layouts::{
-    GGLWEAutomorphismKey, GGLWEAutomorphismKeyLayout, GGLWEInfos, GGLWETensorKey, GGLWETensorKeyLayout, GGSWInfos,
-    GLWECiphertext, GLWEInfos, GLWESecret, LWEInfos, LWESecret,
-    prepared::{GGLWEAutomorphismKeyPrepared, GGLWETensorKeyPrepared, GLWESecretPrepared, PrepareAlloc},
+    AutomorphismKey, AutomorphismKeyLayout, GGLWEInfos, GGSWInfos, GLWECiphertext, GLWEInfos, GLWESecret, LWEInfos, LWESecret,
+    TensorKey, TensorKeyLayout,
+    prepared::{AutomorphismKeyPrepared, GLWESecretPrepared, PrepareAlloc, TensorKeyPrepared},
 };
 use std::collections::HashMap;
 
@@ -24,19 +24,19 @@ use crate::tfhe::blind_rotation::{
 
 pub trait CircuitBootstrappingKeyInfos {
     fn brk_infos(&self) -> BlindRotationKeyLayout;
-    fn atk_infos(&self) -> GGLWEAutomorphismKeyLayout;
-    fn tsk_infos(&self) -> GGLWETensorKeyLayout;
+    fn atk_infos(&self) -> AutomorphismKeyLayout;
+    fn tsk_infos(&self) -> TensorKeyLayout;
 }
 
 #[derive(Debug, Clone, Copy)]
 pub struct CircuitBootstrappingKeyLayout {
     pub layout_brk: BlindRotationKeyLayout,
-    pub layout_atk: GGLWEAutomorphismKeyLayout,
-    pub layout_tsk: GGLWETensorKeyLayout,
+    pub layout_atk: AutomorphismKeyLayout,
+    pub layout_tsk: TensorKeyLayout,
 }
 
 impl CircuitBootstrappingKeyInfos for CircuitBootstrappingKeyLayout {
-    fn atk_infos(&self) -> GGLWEAutomorphismKeyLayout {
+    fn atk_infos(&self) -> AutomorphismKeyLayout {
         self.layout_atk
     }
 
@@ -44,7 +44,7 @@ impl CircuitBootstrappingKeyInfos for CircuitBootstrappingKeyLayout {
         self.layout_brk
     }
 
-    fn tsk_infos(&self) -> GGLWETensorKeyLayout {
+    fn tsk_infos(&self) -> TensorKeyLayout {
         self.layout_tsk
     }
 }
@@ -68,8 +68,8 @@ pub trait CircuitBootstrappingKeyEncryptSk<B: Backend> {
 
 pub struct CircuitBootstrappingKey<D: Data, BRA: BlindRotationAlgo> {
     pub(crate) brk: BlindRotationKey<D, BRA>,
-    pub(crate) tsk: GGLWETensorKey<Vec<u8>>,
-    pub(crate) atk: HashMap<i64, GGLWEAutomorphismKey<Vec<u8>>>,
+    pub(crate) tsk: TensorKey<Vec<u8>>,
+    pub(crate) atk: HashMap<i64, AutomorphismKey<Vec<u8>>>,
 }
 
 impl<BRA: BlindRotationAlgo, B: Backend> CircuitBootstrappingKeyEncryptSk<B> for CircuitBootstrappingKey<Vec<u8>, BRA>
@@ -117,14 +117,14 @@ where
         assert_eq!(sk_glwe.n(), cbt_infos.atk_infos().n());
         assert_eq!(sk_glwe.n(), cbt_infos.tsk_infos().n());
 
-        let atk_infos: GGLWEAutomorphismKeyLayout = cbt_infos.atk_infos();
+        let atk_infos: AutomorphismKeyLayout = cbt_infos.atk_infos();
         let brk_infos: BlindRotationKeyLayout = cbt_infos.brk_infos();
-        let trk_infos: GGLWETensorKeyLayout = cbt_infos.tsk_infos();
+        let trk_infos: TensorKeyLayout = cbt_infos.tsk_infos();
 
-        let mut auto_keys: HashMap<i64, GGLWEAutomorphismKey<Vec<u8>>> = HashMap::new();
+        let mut auto_keys: HashMap<i64, AutomorphismKey<Vec<u8>>> = HashMap::new();
         let gal_els: Vec<i64> = GLWECiphertext::trace_galois_elements(module);
         gal_els.iter().for_each(|gal_el| {
-            let mut key: GGLWEAutomorphismKey<Vec<u8>> = GGLWEAutomorphismKey::alloc(&atk_infos);
+            let mut key: AutomorphismKey<Vec<u8>> = AutomorphismKey::alloc(&atk_infos);
             key.encrypt_sk(module, *gal_el, sk_glwe, source_xa, source_xe, scratch);
             auto_keys.insert(*gal_el, key);
         });
@@ -141,7 +141,7 @@ where
             scratch,
         );
 
-        let mut tsk: GGLWETensorKey<Vec<u8>> = GGLWETensorKey::alloc(&trk_infos);
+        let mut tsk: TensorKey<Vec<u8>> = TensorKey::alloc(&trk_infos);
         tsk.encrypt_sk(module, sk_glwe, source_xa, source_xe, scratch);
 
         Self {
@@ -154,14 +154,14 @@ where
 
 pub struct CircuitBootstrappingKeyPrepared<D: Data, BRA: BlindRotationAlgo, B: Backend> {
     pub(crate) brk: BlindRotationKeyPrepared<D, BRA, B>,
-    pub(crate) tsk: GGLWETensorKeyPrepared<Vec<u8>, B>,
-    pub(crate) atk: HashMap<i64, GGLWEAutomorphismKeyPrepared<Vec<u8>, B>>,
+    pub(crate) tsk: TensorKeyPrepared<Vec<u8>, B>,
+    pub(crate) atk: HashMap<i64, AutomorphismKeyPrepared<Vec<u8>, B>>,
 }
 
 impl<D: DataRef, BRA: BlindRotationAlgo, B: Backend> CircuitBootstrappingKeyInfos for CircuitBootstrappingKeyPrepared<D, BRA, B> {
-    fn atk_infos(&self) -> GGLWEAutomorphismKeyLayout {
+    fn atk_infos(&self) -> AutomorphismKeyLayout {
         let (_, atk) = self.atk.iter().next().expect("atk is empty");
-        GGLWEAutomorphismKeyLayout {
+        AutomorphismKeyLayout {
             n: atk.n(),
             base2k: atk.base2k(),
             k: atk.k(),
@@ -182,8 +182,8 @@ impl<D: DataRef, BRA: BlindRotationAlgo, B: Backend> CircuitBootstrappingKeyInfo
         }
     }
 
-    fn tsk_infos(&self) -> GGLWETensorKeyLayout {
-        GGLWETensorKeyLayout {
+    fn tsk_infos(&self) -> TensorKeyLayout {
+        TensorKeyLayout {
             n: self.tsk.n(),
             base2k: self.tsk.base2k(),
             k: self.tsk.k(),
@@ -199,13 +199,13 @@ impl<D: DataRef, BRA: BlindRotationAlgo, B: Backend> PrepareAlloc<B, CircuitBoot
 where
     Module<B>: VmpPMatAlloc<B> + VmpPrepare<B>,
     BlindRotationKey<D, BRA>: PrepareAlloc<B, BlindRotationKeyPrepared<Vec<u8>, BRA, B>>,
-    GGLWETensorKey<D>: PrepareAlloc<B, GGLWETensorKeyPrepared<Vec<u8>, B>>,
-    GGLWEAutomorphismKey<D>: PrepareAlloc<B, GGLWEAutomorphismKeyPrepared<Vec<u8>, B>>,
+    TensorKey<D>: PrepareAlloc<B, TensorKeyPrepared<Vec<u8>, B>>,
+    AutomorphismKey<D>: PrepareAlloc<B, AutomorphismKeyPrepared<Vec<u8>, B>>,
 {
     fn prepare_alloc(&self, module: &Module<B>, scratch: &mut Scratch<B>) -> CircuitBootstrappingKeyPrepared<Vec<u8>, BRA, B> {
         let brk: BlindRotationKeyPrepared<Vec<u8>, BRA, B> = self.brk.prepare_alloc(module, scratch);
-        let tsk: GGLWETensorKeyPrepared<Vec<u8>, B> = self.tsk.prepare_alloc(module, scratch);
-        let mut atk: HashMap<i64, GGLWEAutomorphismKeyPrepared<Vec<u8>, B>> = HashMap::new();
+        let tsk: TensorKeyPrepared<Vec<u8>, B> = self.tsk.prepare_alloc(module, scratch);
+        let mut atk: HashMap<i64, AutomorphismKeyPrepared<Vec<u8>, B>> = HashMap::new();
         for (key, value) in &self.atk {
             atk.insert(*key, value.prepare_alloc(module, scratch));
         }
diff --git a/poulpy-schemes/src/tfhe/circuit_bootstrapping/mod.rs b/poulpy-schemes/src/tfhe/circuit_bootstrapping/mod.rs
index 86dcf5e..e316d34 100644
--- a/poulpy-schemes/src/tfhe/circuit_bootstrapping/mod.rs
+++ b/poulpy-schemes/src/tfhe/circuit_bootstrapping/mod.rs
@@ -5,7 +5,7 @@ pub mod tests;
 pub use circuit::*;
 pub use key::*;
 
-use poulpy_core::layouts::{GGSWCiphertext, LWECiphertext};
+use poulpy_core::layouts::{GGSW, LWECiphertext};
 
 use poulpy_hal::layouts::{Backend, DataMut, DataRef, Module, Scratch};
 
@@ -13,7 +13,7 @@ pub trait CirtuitBootstrappingExecute<B: Backend> {
     fn execute_to_constant<DM: DataMut, DR: DataRef>(
         &self,
         module: &Module<B>,
-        res: &mut GGSWCiphertext<DM>,
+        res: &mut GGSW<DM>,
         lwe: &LWECiphertext<DR>,
         log_domain: usize,
         extension_factor: usize,
@@ -25,7 +25,7 @@ pub trait CirtuitBootstrappingExecute<B: Backend> {
         &self,
         module: &Module<B>,
         log_gap_out: usize,
-        res: &mut GGSWCiphertext<DM>,
+        res: &mut GGSW<DM>,
         lwe: &LWECiphertext<DR>,
         log_domain: usize,
         extension_factor: usize,
diff --git a/poulpy-schemes/src/tfhe/circuit_bootstrapping/tests/circuit_bootstrapping.rs b/poulpy-schemes/src/tfhe/circuit_bootstrapping/tests/circuit_bootstrapping.rs
index 40f5448..a0dbb42 100644
--- a/poulpy-schemes/src/tfhe/circuit_bootstrapping/tests/circuit_bootstrapping.rs
+++ b/poulpy-schemes/src/tfhe/circuit_bootstrapping/tests/circuit_bootstrapping.rs
@@ -32,12 +32,12 @@ use crate::tfhe::{
 };
 
 use poulpy_core::layouts::{
-    Dsize, GGLWEAutomorphismKeyLayout, GGLWETensorKeyLayout, GGSWCiphertextLayout, LWECiphertextLayout, prepared::PrepareAlloc,
+    AutomorphismKeyLayout, Dsize, GGSWCiphertextLayout, LWECiphertextLayout, TensorKeyLayout, prepared::PrepareAlloc,
 };
 
 use poulpy_core::layouts::{
-    GGSWCiphertext, GLWECiphertext, GLWEPlaintext, GLWESecret, LWECiphertext, LWEPlaintext, LWESecret,
-    prepared::{GGSWCiphertextPrepared, GLWESecretPrepared},
+    GGSW, GLWECiphertext, GLWEPlaintext, GLWESecret, LWECiphertext, LWEPlaintext, LWESecret,
+    prepared::{GGSWPrepared, GLWESecretPrepared},
 };
 
 pub fn test_circuit_bootstrapping_to_exponent<B, BRA: BlindRotationAlgo>(module: &Module<B>)
@@ -143,7 +143,7 @@ where
             dnum: rows_brk.into(),
             rank: rank.into(),
         },
-        layout_atk: GGLWEAutomorphismKeyLayout {
+        layout_atk: AutomorphismKeyLayout {
             n: n_glwe.into(),
             base2k: base2k.into(),
             k: k_atk.into(),
@@ -151,7 +151,7 @@ where
             rank: rank.into(),
             dsize: Dsize(1),
         },
-        layout_tsk: GGLWETensorKeyLayout {
+        layout_tsk: TensorKeyLayout {
             n: n_glwe.into(),
             base2k: base2k.into(),
             k: k_tsk.into(),
@@ -206,7 +206,7 @@ where
     );
     println!("CBT-KGEN: {} ms", now.elapsed().as_millis());
 
-    let mut res: GGSWCiphertext<Vec<u8>> = GGSWCiphertext::alloc(&ggsw_infos);
+    let mut res: GGSW<Vec<u8>> = GGSW::alloc(&ggsw_infos);
 
     let log_gap_out = 1;
 
@@ -249,7 +249,7 @@ where
         scratch.borrow(),
     );
 
-    let res_prepared: GGSWCiphertextPrepared<Vec<u8>, B> = res.prepare_alloc(module, scratch.borrow());
+    let res_prepared: GGSWPrepared<Vec<u8>, B> = res.prepare_alloc(module, scratch.borrow());
 
     ct_glwe.external_product_inplace(module, &res_prepared, scratch.borrow());
 
@@ -365,7 +365,7 @@ where
             dnum: rows_brk.into(),
             rank: rank.into(),
         },
-        layout_atk: GGLWEAutomorphismKeyLayout {
+        layout_atk: AutomorphismKeyLayout {
             n: n_glwe.into(),
             base2k: base2k.into(),
             k: k_atk.into(),
@@ -373,7 +373,7 @@ where
             rank: rank.into(),
             dsize: Dsize(1),
         },
-        layout_tsk: GGLWETensorKeyLayout {
+        layout_tsk: TensorKeyLayout {
             n: n_glwe.into(),
             base2k: base2k.into(),
             k: k_tsk.into(),
@@ -428,7 +428,7 @@ where
     );
     println!("CBT-KGEN: {} ms", now.elapsed().as_millis());
 
-    let mut res: GGSWCiphertext<Vec<u8>> = GGSWCiphertext::alloc(&ggsw_infos);
+    let mut res: GGSW<Vec<u8>> = GGSW::alloc(&ggsw_infos);
 
     let cbt_prepared: CircuitBootstrappingKeyPrepared<Vec<u8>, BRA, B> = cbt_key.prepare_alloc(module, scratch.borrow());
 
@@ -462,7 +462,7 @@ where
         scratch.borrow(),
     );
 
-    let res_prepared: GGSWCiphertextPrepared<Vec<u8>, B> = res.prepare_alloc(module, scratch.borrow());
+    let res_prepared: GGSWPrepared<Vec<u8>, B> = res.prepare_alloc(module, scratch.borrow());
 
     ct_glwe.external_product_inplace(module, &res_prepared, scratch.borrow());