diff --git a/poulpy-core/src/automorphism/gglwe_atk.rs b/poulpy-core/src/automorphism/gglwe_atk.rs
index a291f96..ffc35cd 100644
--- a/poulpy-core/src/automorphism/gglwe_atk.rs
+++ b/poulpy-core/src/automorphism/gglwe_atk.rs
@@ -116,7 +116,7 @@ where
             }
         }
 
-        res.set_p((p * key.p()) % (self.cyclotomic_order() as i64));
+        res.set_p((p * key.p()) % self.cyclotomic_order());
     }
 
     fn glwe_automorphism_key_automorphism_inplace<R, K>(&self, res: &mut R, key: &K, scratch: &mut Scratch<BE>)
@@ -160,6 +160,6 @@ where
             }
         }
 
-        res.set_p((res.p() * key.p()) % (self.cyclotomic_order() as i64));
+        res.set_p((res.p() * key.p()) % self.cyclotomic_order());
     }
 }
diff --git a/poulpy-core/src/encryption/ggsw.rs b/poulpy-core/src/encryption/ggsw.rs
index 85b8be5..86b810c 100644
--- a/poulpy-core/src/encryption/ggsw.rs
+++ b/poulpy-core/src/encryption/ggsw.rs
@@ -107,7 +107,7 @@ where
         let base2k: usize = res.base2k().into();
         let rank: usize = res.rank().into();
         let dsize: usize = res.dsize().into();
-        let cols: usize = (rank + 1).into();
+        let cols: usize = rank + 1;
 
         let (mut tmp_pt, scratch_1) = scratch.take_glwe_plaintext(res);
 
diff --git a/poulpy-core/src/encryption/glwe.rs b/poulpy-core/src/encryption/glwe.rs
index b032b38..c81833e 100644
--- a/poulpy-core/src/encryption/glwe.rs
+++ b/poulpy-core/src/encryption/glwe.rs
@@ -427,6 +427,7 @@ where
 }
 
 pub(crate) trait GLWEEncryptSkInternal<BE: Backend> {
+    #[allow(clippy::too_many_arguments)]
     fn glwe_encrypt_sk_internal<R, P, S>(
         &self,
         base2k: usize,
diff --git a/poulpy-core/src/layouts/compressed/glwe.rs b/poulpy-core/src/layouts/compressed/glwe.rs
index fa61b81..eda1e8f 100644
--- a/poulpy-core/src/layouts/compressed/glwe.rs
+++ b/poulpy-core/src/layouts/compressed/glwe.rs
@@ -192,7 +192,7 @@ pub trait GLWECompressedToRef {
 impl<D: DataRef> GLWECompressedToRef for GLWECompressed<D> {
     fn to_ref(&self) -> GLWECompressed<&[u8]> {
         GLWECompressed {
-            seed: self.seed.clone(),
+            seed: self.seed,
             base2k: self.base2k,
             k: self.k,
             rank: self.rank,
@@ -208,7 +208,7 @@ pub trait GLWECompressedToMut {
 impl<D: DataMut> GLWECompressedToMut for GLWECompressed<D> {
     fn to_mut(&mut self) -> GLWECompressed<&mut [u8]> {
         GLWECompressed {
-            seed: self.seed.clone(),
+            seed: self.seed,
             base2k: self.base2k,
             k: self.k,
             rank: self.rank,
diff --git a/poulpy-core/src/layouts/compressed/glwe_switching_key.rs b/poulpy-core/src/layouts/compressed/glwe_switching_key.rs
index 82fb797..6da1d32 100644
--- a/poulpy-core/src/layouts/compressed/glwe_switching_key.rs
+++ b/poulpy-core/src/layouts/compressed/glwe_switching_key.rs
@@ -146,8 +146,8 @@ where {
 
 impl<D: DataMut> ReaderFrom for GLWESwitchingKeyCompressed<D> {
     fn read_from<R: std::io::Read>(&mut self, reader: &mut R) -> std::io::Result<()> {
-        self.input_degree = Degree(reader.read_u32::<LittleEndian>()? as u32);
-        self.output_degree = Degree(reader.read_u32::<LittleEndian>()? as u32);
+        self.input_degree = Degree(reader.read_u32::<LittleEndian>()?);
+        self.output_degree = Degree(reader.read_u32::<LittleEndian>()?);
         self.key.read_from(reader)
     }
 }
diff --git a/poulpy-core/src/layouts/glwe_switching_key.rs b/poulpy-core/src/layouts/glwe_switching_key.rs
index 1e67222..3f94c06 100644
--- a/poulpy-core/src/layouts/glwe_switching_key.rs
+++ b/poulpy-core/src/layouts/glwe_switching_key.rs
@@ -240,8 +240,8 @@ impl<D: DataMut> GLWESwitchingKey<D> {
 
 impl<D: DataMut> ReaderFrom for GLWESwitchingKey<D> {
     fn read_from<R: std::io::Read>(&mut self, reader: &mut R) -> std::io::Result<()> {
-        self.input_degree = Degree(reader.read_u32::<LittleEndian>()? as u32);
-        self.output_degree = Degree(reader.read_u32::<LittleEndian>()? as u32);
+        self.input_degree = Degree(reader.read_u32::<LittleEndian>()?);
+        self.output_degree = Degree(reader.read_u32::<LittleEndian>()?);
         self.key.read_from(reader)
     }
 }
diff --git a/poulpy-core/src/layouts/mod.rs b/poulpy-core/src/layouts/mod.rs
index 6447fc5..1168ac8 100644
--- a/poulpy-core/src/layouts/mod.rs
+++ b/poulpy-core/src/layouts/mod.rs
@@ -43,7 +43,7 @@ pub trait GetDegree {
 
 impl<B: Backend> GetDegree for Module<B> {
     fn ring_degree(&self) -> Degree {
-        Self::n(&self).into()
+        Self::n(self).into()
     }
 }
 
diff --git a/poulpy-core/src/layouts/prepared/glwe_automorphism_key.rs b/poulpy-core/src/layouts/prepared/glwe_automorphism_key.rs
index 0296e0f..adf54eb 100644
--- a/poulpy-core/src/layouts/prepared/glwe_automorphism_key.rs
+++ b/poulpy-core/src/layouts/prepared/glwe_automorphism_key.rs
@@ -69,7 +69,7 @@ pub trait GLWEAutomorphismKeyPreparedFactory<B: Backend>
 where
     Self: GGLWEPreparedFactory<B>,
 {
-    fn alloc_automorphism_key_prepared(
+    fn alloc_glwe_automorphism_key_prepared(
         &self,
         base2k: Base2K,
         k: TorusPrecision,
@@ -83,7 +83,7 @@ where
         }
     }
 
-    fn alloc_automorphism_key_prepared_from_infos<A>(&self, infos: &A) -> GLWEAutomorphismKeyPrepared<Vec<u8>, B>
+    fn alloc_glwe_automorphism_key_prepared_from_infos<A>(&self, infos: &A) -> GLWEAutomorphismKeyPrepared<Vec<u8>, B>
     where
         A: GGLWEInfos,
     {
@@ -92,7 +92,7 @@ where
             infos.rank_out(),
             "rank_in != rank_out is not supported for AutomorphismKeyPrepared"
         );
-        self.alloc_automorphism_key_prepared(
+        self.alloc_glwe_automorphism_key_prepared(
             infos.base2k(),
             infos.k(),
             infos.rank(),
@@ -101,7 +101,7 @@ where
         )
     }
 
-    fn bytes_of_automorphism_key_prepared(
+    fn bytes_of_glwe_automorphism_key_prepared(
         &self,
         base2k: Base2K,
         k: TorusPrecision,
@@ -112,7 +112,7 @@ where
         self.bytes_of_gglwe_prepared(base2k, k, rank, rank, dnum, dsize)
     }
 
-    fn bytes_of_automorphism_key_prepared_from_infos<A>(&self, infos: &A) -> usize
+    fn bytes_of_glwe_automorphism_key_prepared_from_infos<A>(&self, infos: &A) -> usize
     where
         A: GGLWEInfos,
     {
@@ -121,7 +121,7 @@ where
             infos.rank_out(),
             "rank_in != rank_out is not supported for AutomorphismKeyPrepared"
         );
-        self.bytes_of_automorphism_key_prepared(
+        self.bytes_of_glwe_automorphism_key_prepared(
             infos.base2k(),
             infos.k(),
             infos.rank(),
@@ -130,14 +130,14 @@ where
         )
     }
 
-    fn prepare_automorphism_key_tmp_bytes<A>(&self, infos: &A) -> usize
+    fn prepare_glwe_automorphism_key_tmp_bytes<A>(&self, infos: &A) -> usize
     where
         A: GGLWEInfos,
     {
         self.prepare_gglwe_tmp_bytes(infos)
     }
 
-    fn prepare_automorphism_key<R, O>(&self, res: &mut R, other: &O, scratch: &mut Scratch<B>)
+    fn prepare_glwe_automorphism_key<R, O>(&self, res: &mut R, other: &O, scratch: &mut Scratch<B>)
     where
         R: GGLWEPreparedToMut<B> + SetGaloisElement,
         O: GGLWEToRef + GetGaloisElement,
@@ -155,14 +155,14 @@ impl<B: Backend> GLWEAutomorphismKeyPrepared<Vec<u8>, B> {
         A: GGLWEInfos,
         M: GLWEAutomorphismKeyPreparedFactory<B>,
     {
-        module.alloc_automorphism_key_prepared_from_infos(infos)
+        module.alloc_glwe_automorphism_key_prepared_from_infos(infos)
     }
 
     pub fn alloc<M>(module: &M, base2k: Base2K, k: TorusPrecision, rank: Rank, dnum: Dnum, dsize: Dsize) -> Self
     where
         M: GLWEAutomorphismKeyPreparedFactory<B>,
     {
-        module.alloc_automorphism_key_prepared(base2k, k, rank, dnum, dsize)
+        module.alloc_glwe_automorphism_key_prepared(base2k, k, rank, dnum, dsize)
     }
 
     pub fn bytes_of_from_infos<A, M>(module: &M, infos: &A) -> usize
@@ -170,14 +170,14 @@ impl<B: Backend> GLWEAutomorphismKeyPrepared<Vec<u8>, B> {
         A: GGLWEInfos,
         M: GLWEAutomorphismKeyPreparedFactory<B>,
     {
-        module.bytes_of_automorphism_key_prepared_from_infos(infos)
+        module.bytes_of_glwe_automorphism_key_prepared_from_infos(infos)
     }
 
     pub fn bytes_of<M>(module: &M, base2k: Base2K, k: TorusPrecision, rank: Rank, dnum: Dnum, dsize: Dsize) -> usize
     where
         M: GLWEAutomorphismKeyPreparedFactory<B>,
     {
-        module.bytes_of_automorphism_key_prepared(base2k, k, rank, dnum, dsize)
+        module.bytes_of_glwe_automorphism_key_prepared(base2k, k, rank, dnum, dsize)
     }
 }
 
@@ -186,7 +186,7 @@ impl<B: Backend> GLWEAutomorphismKeyPrepared<Vec<u8>, B> {
     where
         M: GLWEAutomorphismKeyPreparedFactory<B>,
     {
-        module.prepare_automorphism_key_tmp_bytes(self)
+        module.prepare_glwe_automorphism_key_tmp_bytes(self)
     }
 }
 
@@ -196,7 +196,7 @@ impl<D: DataMut, B: Backend> GLWEAutomorphismKeyPrepared<D, B> {
         O: GGLWEToRef + GetGaloisElement,
         M: GLWEAutomorphismKeyPreparedFactory<B>,
     {
-        module.prepare_automorphism_key(self, other, scratch);
+        module.prepare_glwe_automorphism_key(self, other, scratch);
     }
 }
 
diff --git a/poulpy-core/src/layouts/prepared/glwe_secret.rs b/poulpy-core/src/layouts/prepared/glwe_secret.rs
index 0e38221..8f4917d 100644
--- a/poulpy-core/src/layouts/prepared/glwe_secret.rs
+++ b/poulpy-core/src/layouts/prepared/glwe_secret.rs
@@ -166,7 +166,10 @@ impl<D: DataRef, B: Backend> GLWESecretPreparedToRef<B> for GLWESecretPrepared<D
     }
 }
 
-pub trait GLWESecretPreparedToMut<B: Backend> {
+pub trait GLWESecretPreparedToMut<B: Backend>
+where
+    Self: GLWESecretPreparedToRef<B>,
+{
     fn to_mut(&mut self) -> GLWESecretPrepared<&mut [u8], B>;
 }
 
diff --git a/poulpy-core/src/layouts/prepared/glwe_to_lwe_switching_key.rs b/poulpy-core/src/layouts/prepared/glwe_to_lwe_switching_key.rs
index 865e9cd..6edac5e 100644
--- a/poulpy-core/src/layouts/prepared/glwe_to_lwe_switching_key.rs
+++ b/poulpy-core/src/layouts/prepared/glwe_to_lwe_switching_key.rs
@@ -102,11 +102,11 @@ where
         self.bytes_of_glwe_to_lwe_switching_key_prepared(infos.base2k(), infos.k(), infos.rank_in(), infos.dnum())
     }
 
-    fn prepare_glwe_to_lwe_switching_key_tmp_bytes<A>(&self, infos: &A)
+    fn prepare_glwe_to_lwe_switching_key_tmp_bytes<A>(&self, infos: &A) -> usize
     where
         A: GGLWEInfos,
     {
-        self.prepare_glwe_switching_key_tmp_bytes(infos);
+        self.prepare_glwe_switching_key_tmp_bytes(infos)
     }
 
     fn prepare_glwe_to_lwe_switching_key<R, O>(&self, res: &mut R, other: &O, scratch: &mut Scratch<B>)
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 ad456c9..9363539 100644
--- a/poulpy-core/src/tests/test_suite/encryption/gglwe_atk.rs
+++ b/poulpy-core/src/tests/test_suite/encryption/gglwe_atk.rs
@@ -81,7 +81,7 @@ where
                     i,
                 );
             });
-            let mut sk_out_prepared: GLWESecretPrepared<Vec<u8>, BE> = GLWESecretPrepared::alloc(module, sk_out.rank().into());
+            let mut sk_out_prepared: GLWESecretPrepared<Vec<u8>, BE> = GLWESecretPrepared::alloc(module, sk_out.rank());
             sk_out_prepared.prepare(module, &sk_out);
 
             atk.key
@@ -150,7 +150,7 @@ where
                     i,
                 );
             });
-            let mut sk_out_prepared: GLWESecretPrepared<Vec<u8>, BE> = GLWESecretPrepared::alloc(module, sk_out.rank().into());
+            let mut sk_out_prepared: GLWESecretPrepared<Vec<u8>, BE> = GLWESecretPrepared::alloc(module, sk_out.rank());
             sk_out_prepared.prepare(module, &sk_out);
 
             let mut atk: GLWEAutomorphismKey<Vec<u8>> = GLWEAutomorphismKey::alloc_from_infos(&atk_infos);
diff --git a/poulpy-schemes/src/tfhe/bdd_arithmetic/bdd_2w_to_1w.rs b/poulpy-schemes/src/tfhe/bdd_arithmetic/bdd_2w_to_1w.rs
index ba0d38f..db4a1de 100644
--- a/poulpy-schemes/src/tfhe/bdd_arithmetic/bdd_2w_to_1w.rs
+++ b/poulpy-schemes/src/tfhe/bdd_arithmetic/bdd_2w_to_1w.rs
@@ -3,72 +3,44 @@ use poulpy_core::layouts::prepared::GGSWPreparedToRef;
 use poulpy_hal::layouts::{Backend, DataMut, DataRef, Module, Scratch};
 
 use crate::tfhe::bdd_arithmetic::{
-    BitCircuitInfo, Circuit, CircuitExecute, FheUintBlocks, FheUintBlocksPrep, UnsignedInteger, circuits,
+    ExecuteBDDCircuit, FheUintBlocks, FheUintBlocksPrepared, GetBitCircuitInfo, UnsignedInteger, circuits,
 };
 
-/// Operations Z x Z -> Z
-pub(crate) struct Circuits2WTo1W<C: BitCircuitInfo + 'static, const WORD_SIZE: usize>(pub &'static Circuit<C, WORD_SIZE>);
+impl<T: UnsignedInteger, BE: Backend> ExecuteBDDCircuit2WTo1W<T, BE> for Module<BE> where Self: Sized + ExecuteBDDCircuit<T, BE> {}
 
-pub trait EvalBDD2WTo1W<BE: Backend, T: UnsignedInteger> {
-    fn eval_bdd_2w_to_1w<R, A, B>(
-        &self,
-        module: &Module<BE>,
-        out: &mut FheUintBlocks<R, T>,
-        a: &FheUintBlocksPrep<A, BE, T>,
-        b: &FheUintBlocksPrep<B, BE, T>,
-        scratch: &mut Scratch<BE>,
-    ) where
-        R: DataMut,
-        A: DataRef,
-        B: DataRef;
-}
-
-impl<C: BitCircuitInfo + 'static, const WORD_SIZE: usize, BE: Backend, T: UnsignedInteger> EvalBDD2WTo1W<BE, T>
-    for Circuits2WTo1W<C, WORD_SIZE>
+pub trait ExecuteBDDCircuit2WTo1W<T: UnsignedInteger, BE: Backend>
 where
-    Circuit<C, WORD_SIZE>: CircuitExecute<BE, T>,
+    Self: Sized + ExecuteBDDCircuit<T, BE>,
 {
-    fn eval_bdd_2w_to_1w<R, A, B>(
+    /// Operations Z x Z -> Z
+    fn execute_bdd_circuit_2w_to_1w<R, C, A, B>(
         &self,
-        module: &Module<BE>,
         out: &mut FheUintBlocks<R, T>,
-        a: &FheUintBlocksPrep<A, BE, T>,
-        b: &FheUintBlocksPrep<B, BE, T>,
+        circuit: &C,
+        a: &FheUintBlocksPrepared<A, T, BE>,
+        b: &FheUintBlocksPrepared<B, T, BE>,
         scratch: &mut Scratch<BE>,
     ) where
+        C: GetBitCircuitInfo<T>,
         R: DataMut,
         A: DataRef,
         B: DataRef,
-    {
-        eval_bdd_2w_to_1w(module, self.0, out, a, b, scratch);
-    }
-}
-
-pub fn eval_bdd_2w_to_1w<R: DataMut, A: DataRef, B: DataRef, T: UnsignedInteger, C: CircuitExecute<BE, T>, BE: Backend>(
-    module: &Module<BE>,
-    circuit: &C,
-    out: &mut FheUintBlocks<R, T>,
-    a: &FheUintBlocksPrep<A, BE, T>,
-    b: &FheUintBlocksPrep<B, BE, T>,
-    scratch: &mut Scratch<BE>,
-) {
-    #[cfg(debug_assertions)]
     {
         assert_eq!(out.blocks.len(), T::WORD_SIZE);
         assert_eq!(b.blocks.len(), T::WORD_SIZE);
         assert_eq!(b.blocks.len(), T::WORD_SIZE);
+
+        // Collects inputs into a single array
+        let inputs: Vec<&dyn GGSWPreparedToRef<BE>> = a
+            .blocks
+            .iter()
+            .map(|x| x as &dyn GGSWPreparedToRef<BE>)
+            .chain(b.blocks.iter().map(|x| x as &dyn GGSWPreparedToRef<BE>))
+            .collect_vec();
+
+        // Evaluates out[i] = circuit[i](a, b)
+        self.execute_bdd_circuit(&mut out.blocks, &inputs, circuit, scratch);
     }
-
-    // Collects inputs into a single array
-    let inputs: Vec<&dyn GGSWPreparedToRef<BE>> = a
-        .blocks
-        .iter()
-        .map(|x| x as &dyn GGSWPreparedToRef<BE>)
-        .chain(b.blocks.iter().map(|x| x as &dyn GGSWPreparedToRef<BE>))
-        .collect_vec();
-
-    // Evaluates out[i] = circuit[i](a, b)
-    circuit.execute(module, &mut out.blocks, &inputs, scratch);
 }
 
 #[macro_export]
@@ -76,13 +48,14 @@ macro_rules! define_bdd_2w_to_1w_trait {
     ($(#[$meta:meta])* $vis:vis $trait_name:ident, $method_name:ident) => {
         $(#[$meta])*
         $vis trait $trait_name<T: UnsignedInteger, BE: Backend> {
-            fn $method_name<A, B>(
+            fn $method_name<A, M, B>(
                 &mut self,
-                module: &Module<BE>,
-                a: &FheUintBlocksPrep<A, BE, T>,
-                b: &FheUintBlocksPrep<B, BE, T>,
+                module: &M,
+                a: &FheUintBlocksPrepared<A, T, BE>,
+                b: &FheUintBlocksPrepared<B, T, BE>,
                 scratch: &mut Scratch<BE>,
             ) where
+                M: ExecuteBDDCircuit2WTo1W<T, BE>,
                 A: DataRef,
                 B: DataRef;
         }
@@ -92,23 +65,19 @@ macro_rules! define_bdd_2w_to_1w_trait {
 #[macro_export]
 macro_rules! impl_bdd_2w_to_1w_trait {
     ($trait_name:ident, $method_name:ident, $ty:ty, $n:literal, $circuit_ty:ty, $output_circuits:path) => {
-        impl<D: DataMut, BE: Backend> $trait_name<$ty, BE> for FheUintBlocks<D, $ty>
-        where
-            Circuits2WTo1W<$circuit_ty, $n>: EvalBDD2WTo1W<BE, $ty>,
-        {
-            fn $method_name<A, B>(
+        impl<D: DataMut, BE: Backend> $trait_name<$ty, BE> for FheUintBlocks<D, $ty> {
+            fn $method_name<A, M, B>(
                 &mut self,
-                module: &Module<BE>,
-                a: &FheUintBlocksPrep<A, BE, $ty>,
-                b: &FheUintBlocksPrep<B, BE, $ty>,
+                module: &M,
+                a: &FheUintBlocksPrepared<A, $ty, BE>,
+                b: &FheUintBlocksPrepared<B, $ty, BE>,
                 scratch: &mut Scratch<BE>,
             ) where
+                M: ExecuteBDDCircuit2WTo1W<$ty, BE>,
                 A: DataRef,
                 B: DataRef,
             {
-                const OP: Circuits2WTo1W<$circuit_ty, $n> = Circuits2WTo1W::<$circuit_ty, $n>(&$output_circuits);
-
-                OP.eval_bdd_2w_to_1w(module, self, a, b, scratch);
+                module.execute_bdd_circuit_2w_to_1w(self, &$output_circuits, a, b, scratch)
             }
         }
     };
diff --git a/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/block.rs b/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/block.rs
index 00fe458..82d985e 100644
--- a/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/block.rs
+++ b/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/block.rs
@@ -1,26 +1,17 @@
 use std::marker::PhantomData;
 
-use poulpy_core::layouts::{Base2K, GLWE, GLWEInfos, GLWEPlaintextLayout, LWEInfos, Rank, TorusPrecision};
+use poulpy_core::{
+    GLWEDecrypt, GLWENoise,
+    layouts::{Base2K, GLWE, GLWEInfos, GLWEPlaintextLayout, GLWESecretPreparedToRef, LWEInfos, Rank, TorusPrecision},
+};
 
 #[cfg(test)]
+use poulpy_core::GLWEEncryptSk;
 use poulpy_core::ScratchTakeCore;
-use poulpy_core::{layouts::prepared::GLWESecretPrepared};
-use poulpy_hal::api::VecZnxBigBytesOf;
+use poulpy_hal::layouts::{Backend, Data, DataMut, DataRef, Module, Scratch};
 #[cfg(test)]
-use poulpy_hal::api::{
-    VecZnxAddInplace, VecZnxAddNormal, VecZnxFillUniform, VecZnxNormalize, VecZnxSub,
-};
 #[cfg(test)]
 use poulpy_hal::source::Source;
-use poulpy_hal::{
-    api::{
-        VecZnxBigAddInplace, VecZnxBigAddSmallInplace, VecZnxBigNormalize, VecZnxDftApply,
-        VecZnxDftBytesOf, VecZnxIdftApplyConsume, VecZnxNormalizeTmpBytes,
-    },
-    layouts::{Backend, Data, DataMut, DataRef, Module, Scratch},
-};
-
-use poulpy_hal::api::{SvpApplyDftToDftInplace, VecZnxNormalizeInplace, VecZnxSubInplace};
 
 use crate::tfhe::bdd_arithmetic::{FromBits, ToBits, UnsignedInteger};
 
@@ -79,25 +70,13 @@ impl<D: DataMut, T: UnsignedInteger + ToBits> FheUintBlocks<D, T> {
         &mut self,
         module: &Module<BE>,
         value: T,
-        sk: &GLWESecretPrepared<S, BE>,
+        sk: &S,
         source_xa: &mut Source,
         source_xe: &mut Source,
         scratch: &mut Scratch<BE>,
     ) where
-        S: DataRef,
-        Module<BE>: VecZnxDftBytesOf
-            + VecZnxBigNormalize<BE>
-            + VecZnxDftApply<BE>
-            + SvpApplyDftToDftInplace<BE>
-            + VecZnxIdftApplyConsume<BE>
-            + VecZnxNormalizeTmpBytes
-            + VecZnxFillUniform
-            + VecZnxSubInplace
-            + VecZnxAddInplace
-            + VecZnxNormalizeInplace<BE>
-            + VecZnxAddNormal
-            + VecZnxNormalize<BE>
-            + VecZnxSub,
+        S: GLWESecretPreparedToRef<BE> + GLWEInfos,
+        Module<BE>: GLWEEncryptSk<BE>,
         Scratch<BE>: ScratchTakeCore<BE>,
     {
         use poulpy_core::layouts::GLWEPlaintextLayout;
@@ -115,29 +94,20 @@ impl<D: DataMut, T: UnsignedInteger + ToBits> FheUintBlocks<D, T> {
             k: 1_usize.into(),
         };
 
-        let (mut pt, scratch_1) = scratch.take_glwe_pt(&pt_infos);
+        let (mut pt, scratch_1) = scratch.take_glwe_plaintext(&pt_infos);
 
         for i in 0..T::WORD_SIZE {
             pt.encode_coeff_i64(value.bit(i) as i64, TorusPrecision(2), 0);
-            self.blocks[i].encrypt_sk(&module, &pt, sk, source_xa, source_xe, scratch_1);
+            self.blocks[i].encrypt_sk(module, &pt, sk, source_xa, source_xe, scratch_1);
         }
     }
 }
 
 impl<D: DataRef, T: UnsignedInteger + FromBits + ToBits> FheUintBlocks<D, T> {
-    pub fn decrypt<S: DataRef, BE: Backend>(
-        &self,
-        module: &Module<BE>,
-        sk: &GLWESecretPrepared<S, BE>,
-        scratch: &mut Scratch<BE>,
-    ) -> T
+    pub fn decrypt<S, BE: Backend>(&self, module: &Module<BE>, sk: &S, scratch: &mut Scratch<BE>) -> T
     where
-        Module<BE>: VecZnxDftApply<BE>
-            + SvpApplyDftToDftInplace<BE>
-            + VecZnxIdftApplyConsume<BE>
-            + VecZnxBigAddInplace<BE>
-            + VecZnxBigAddSmallInplace<BE>
-            + VecZnxBigNormalize<BE>,
+        Module<BE>: GLWEDecrypt<BE>,
+        S: GLWESecretPreparedToRef<BE> + GLWEInfos,
         Scratch<BE>: ScratchTakeCore<BE>,
     {
         #[cfg(debug_assertions)]
@@ -153,7 +123,7 @@ impl<D: DataRef, T: UnsignedInteger + FromBits + ToBits> FheUintBlocks<D, T> {
             k: self.k(),
         };
 
-        let (mut pt, scratch_1) = scratch.take_glwe_pt(&pt_infos);
+        let (mut pt, scratch_1) = scratch.take_glwe_plaintext(&pt_infos);
 
         let mut bits: Vec<u8> = vec![0u8; T::WORD_SIZE];
 
@@ -169,25 +139,10 @@ impl<D: DataRef, T: UnsignedInteger + FromBits + ToBits> FheUintBlocks<D, T> {
         T::from_bits(&bits)
     }
 
-    pub fn noise<S: DataRef, BE: Backend>(
-        &self,
-        module: &Module<BE>,
-        sk: &GLWESecretPrepared<S, BE>,
-        want: T,
-        scratch: &mut Scratch<BE>,
-    ) -> Vec<f64>
+    pub fn noise<S, BE: Backend>(&self, module: &Module<BE>, sk: &S, want: T, scratch: &mut Scratch<BE>) -> Vec<f64>
     where
-        Module<BE>: VecZnxDftBytesOf
-            + VecZnxBigBytesOf
-            + VecZnxDftApply<BE>
-            + SvpApplyDftToDftInplace<BE>
-            + VecZnxIdftApplyConsume<BE>
-            + VecZnxBigAddInplace<BE>
-            + VecZnxBigAddSmallInplace<BE>
-            + VecZnxBigNormalize<BE>
-            + VecZnxNormalizeTmpBytes
-            + VecZnxSubInplace
-            + VecZnxNormalizeInplace<BE>,
+        Module<BE>: GLWENoise<BE>,
+        S: GLWESecretPreparedToRef<BE> + GLWEInfos,
         Scratch<BE>: ScratchTakeCore<BE>,
     {
         #[cfg(debug_assertions)]
@@ -203,7 +158,7 @@ impl<D: DataRef, T: UnsignedInteger + FromBits + ToBits> FheUintBlocks<D, T> {
             k: 1_usize.into(),
         };
 
-        let (mut pt_want, scratch_1) = scratch.take_glwe_pt(&pt_infos);
+        let (mut pt_want, scratch_1) = scratch.take_glwe_plaintext(&pt_infos);
 
         let mut noise: Vec<f64> = vec![0f64; T::WORD_SIZE];
 
diff --git a/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/block_debug.rs b/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/block_debug.rs
new file mode 100644
index 0000000..f291c62
--- /dev/null
+++ b/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/block_debug.rs
@@ -0,0 +1,147 @@
+use std::marker::PhantomData;
+
+use crate::tfhe::bdd_arithmetic::{BDDKeyPrepared, FheUintBlockDebugPrepare, ToBits};
+use crate::tfhe::{
+    bdd_arithmetic::{FheUintBlocks, UnsignedInteger},
+    blind_rotation::BlindRotationAlgo,
+    circuit_bootstrapping::CirtuitBootstrappingExecute,
+};
+use poulpy_core::GGSWNoise;
+#[cfg(test)]
+use poulpy_core::layouts::{Base2K, Dnum, Dsize, Rank, TorusPrecision};
+use poulpy_core::layouts::{GGSW, GLWESecretPreparedToRef};
+use poulpy_core::{
+    LWEFromGLWE, ScratchTakeCore,
+    layouts::{GGSWInfos, GGSWPreparedFactory, GLWEInfos, LWE, LWEInfos},
+};
+#[cfg(test)]
+use poulpy_hal::api::ModuleN;
+use poulpy_hal::layouts::{Backend, Data, DataMut, DataRef, Module, Scratch};
+
+pub(crate) struct FheUintBlocksPreparedDebug<D: Data, T: UnsignedInteger> {
+    pub(crate) blocks: Vec<GGSW<D>>,
+    pub(crate) _base: u8,
+    pub(crate) _phantom: PhantomData<T>,
+}
+
+#[cfg(test)]
+impl<T: UnsignedInteger> FheUintBlocksPreparedDebug<Vec<u8>, T> {
+    #[allow(dead_code)]
+    pub(crate) fn alloc<A, M>(module: &M, infos: &A) -> Self
+    where
+        M: ModuleN,
+        A: GGSWInfos,
+    {
+        Self::alloc_with(
+            module,
+            infos.base2k(),
+            infos.k(),
+            infos.dnum(),
+            infos.dsize(),
+            infos.rank(),
+        )
+    }
+
+    #[allow(dead_code)]
+    pub(crate) fn alloc_with<M>(module: &M, base2k: Base2K, k: TorusPrecision, dnum: Dnum, dsize: Dsize, rank: Rank) -> Self
+    where
+        M: ModuleN,
+    {
+        Self {
+            blocks: (0..T::WORD_SIZE)
+                .map(|_| GGSW::alloc(module.n().into(), base2k, k, rank, dnum, dsize))
+                .collect(),
+            _base: 1,
+            _phantom: PhantomData,
+        }
+    }
+}
+
+impl<D: DataRef, T: UnsignedInteger> LWEInfos for FheUintBlocksPreparedDebug<D, T> {
+    fn base2k(&self) -> poulpy_core::layouts::Base2K {
+        self.blocks[0].base2k()
+    }
+
+    fn k(&self) -> poulpy_core::layouts::TorusPrecision {
+        self.blocks[0].k()
+    }
+
+    fn n(&self) -> poulpy_core::layouts::Degree {
+        self.blocks[0].n()
+    }
+}
+
+impl<D: DataRef, T: UnsignedInteger> GLWEInfos for FheUintBlocksPreparedDebug<D, T> {
+    fn rank(&self) -> poulpy_core::layouts::Rank {
+        self.blocks[0].rank()
+    }
+}
+
+impl<D: DataRef, T: UnsignedInteger> GGSWInfos for FheUintBlocksPreparedDebug<D, T> {
+    fn dsize(&self) -> poulpy_core::layouts::Dsize {
+        self.blocks[0].dsize()
+    }
+
+    fn dnum(&self) -> poulpy_core::layouts::Dnum {
+        self.blocks[0].dnum()
+    }
+}
+
+impl<D: DataRef, T: UnsignedInteger + ToBits> FheUintBlocksPreparedDebug<D, T> {
+    pub(crate) fn noise<S, M, BE: Backend>(&self, module: &M, sk: &S, want: T)
+    where
+        S: GLWESecretPreparedToRef<BE>,
+        M: GGSWNoise<BE>,
+    {
+        for (i, ggsw) in self.blocks.iter().enumerate() {
+            use poulpy_hal::layouts::{ScalarZnx, ZnxViewMut};
+            let mut pt_want = ScalarZnx::alloc(self.n().into(), 1);
+            pt_want.at_mut(0, 0)[0] = want.bit(i) as i64;
+            ggsw.print_noise(module, sk, &pt_want);
+        }
+    }
+}
+
+impl<BRA: BlindRotationAlgo, BE: Backend, T: UnsignedInteger> FheUintBlockDebugPrepare<BRA, T, BE> for Module<BE>
+where
+    Self: LWEFromGLWE<BE> + CirtuitBootstrappingExecute<BRA, BE> + GGSWPreparedFactory<BE>,
+    Scratch<BE>: ScratchTakeCore<BE>,
+{
+    fn fhe_uint_block_debug_prepare<DM, DR0, DR1>(
+        &self,
+        res: &mut FheUintBlocksPreparedDebug<DM, T>,
+        bits: &FheUintBlocks<DR0, T>,
+        key: &BDDKeyPrepared<DR1, BRA, BE>,
+        scratch: &mut Scratch<BE>,
+    ) where
+        DM: DataMut,
+        DR0: DataRef,
+        DR1: DataRef,
+    {
+        assert_eq!(res.blocks.len(), bits.blocks.len());
+
+        let mut lwe: LWE<Vec<u8>> = LWE::alloc_from_infos(&bits.blocks[0]); //TODO: add TakeLWE
+        for (dst, src) in res.blocks.iter_mut().zip(bits.blocks.iter()) {
+            lwe.from_glwe(self, src, &key.ks, scratch);
+            key.cbt.execute_to_constant(self, dst, &lwe, 1, 1, scratch);
+        }
+    }
+}
+
+impl<D: DataMut, T: UnsignedInteger> FheUintBlocksPreparedDebug<D, T> {
+    pub fn prepare<BRA, M, O, K, BE: Backend>(
+        &mut self,
+        module: &M,
+        other: &FheUintBlocks<O, T>,
+        key: &BDDKeyPrepared<K, BRA, BE>,
+        scratch: &mut Scratch<BE>,
+    ) where
+        BRA: BlindRotationAlgo,
+        O: DataRef,
+        K: DataRef,
+        M: FheUintBlockDebugPrepare<BRA, T, BE>,
+        Scratch<BE>: ScratchTakeCore<BE>,
+    {
+        module.fhe_uint_block_debug_prepare(self, other, key, scratch);
+    }
+}
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 1ed7229..3753f99 100644
--- a/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/block_prepared.rs
+++ b/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/block_prepared.rs
@@ -1,89 +1,60 @@
 use std::marker::PhantomData;
 
-use poulpy_core::layouts::{Base2K, Dnum, Dsize, GGSWInfos, GLWEInfos, LWEInfos, Rank, TorusPrecision, prepared::GGSWPrepared};
-#[cfg(test)]
-use poulpy_core::{
-    layouts::{prepared::GLWESecretPrepared, GGSW}, ScratchTakeCore,
-};
-use poulpy_hal::{
-    api::VmpPMatAlloc,
-    layouts::{Backend, Data, DataMut, DataRef, Module, Scratch},
+use poulpy_core::layouts::{
+    Base2K, Dnum, Dsize, GGSWInfos, GGSWPreparedFactory, GLWEInfos, LWEInfos, Rank, TorusPrecision, prepared::GGSWPrepared,
 };
 #[cfg(test)]
+use poulpy_core::{GGSWEncryptSk, ScratchTakeCore, layouts::GLWESecretPreparedToRef};
+use poulpy_hal::layouts::{Backend, Data, DataRef, Module};
+#[cfg(test)]
 use poulpy_hal::{
-    api::{
-        SvpApplyDftToDftInplace, VecZnxAddInplace, VecZnxAddNormal,
-        VecZnxAddScalarInplace, VecZnxBigAddInplace, VecZnxBigAddSmallInplace, VecZnxBigAlloc, VecZnxBigBytesOf,
-        VecZnxBigNormalize, VecZnxBigNormalizeTmpBytes, VecZnxDftAlloc, VecZnxDftApply, VecZnxDftBytesOf, VecZnxFillUniform,
-        VecZnxIdftApplyConsume, VecZnxIdftApplyTmpA, VecZnxNormalize, VecZnxNormalizeInplace, VecZnxNormalizeTmpBytes, VecZnxSub,
-        VecZnxSubInplace, VmpPrepare,
-    },
+    api::ModuleN,
+    layouts::{DataMut, Scratch},
     source::Source,
 };
 
-use crate::tfhe::bdd_arithmetic::{FheUintBlocks, FheUintPrepare, ToBits, UnsignedInteger};
-
 #[cfg(test)]
-pub(crate) struct FheUintBlocksPrepDebug<D: Data, T: UnsignedInteger> {
-    pub(crate) blocks: Vec<GGSW<D>>,
-    pub(crate) _base: u8,
-    pub(crate) _phantom: PhantomData<T>,
-}
-
-#[cfg(test)]
-impl<T: UnsignedInteger> FheUintBlocksPrepDebug<Vec<u8>, T> {
-    #[allow(dead_code)]
-    pub(crate) fn alloc<A, BE: Backend>(module: &Module<BE>, infos: &A) -> Self
-    where
-        A: GGSWInfos,
-    {
-        Self::alloc_with(
-            module,
-            infos.base2k(),
-            infos.k(),
-            infos.dnum(),
-            infos.dsize(),
-            infos.rank(),
-        )
-    }
-
-    #[allow(dead_code)]
-    pub(crate) fn alloc_with<BE: Backend>(
-        module: &Module<BE>,
-        base2k: Base2K,
-        k: TorusPrecision,
-        dnum: Dnum,
-        dsize: Dsize,
-        rank: Rank,
-    ) -> Self {
-        Self {
-            blocks: (0..T::WORD_SIZE)
-                .map(|_| GGSW::alloc(module.n().into(), base2k, k, rank, dnum, dsize))
-                .collect(),
-            _base: 1,
-            _phantom: PhantomData,
-        }
-    }
-}
+use crate::tfhe::bdd_arithmetic::ToBits;
+use crate::tfhe::bdd_arithmetic::UnsignedInteger;
 
 /// A prepared FHE ciphertext encrypting the bits of an [UnsignedInteger].
-pub struct FheUintBlocksPrep<D: Data, B: Backend, T: UnsignedInteger> {
+pub struct FheUintBlocksPrepared<D: Data, T: UnsignedInteger, B: Backend> {
     pub(crate) blocks: Vec<GGSWPrepared<D, B>>,
     pub(crate) _base: u8,
     pub(crate) _phantom: PhantomData<T>,
 }
 
-impl<T: UnsignedInteger, BE: Backend> FheUintBlocksPrep<Vec<u8>, BE, T>
-where
-    Module<BE>: VmpPMatAlloc<BE>,
+impl<T: UnsignedInteger, BE: Backend> FheUintBlocksPreparedFactory<T, BE> for Module<BE> where
+    Self: Sized + GGSWPreparedFactory<BE>
 {
-    #[allow(dead_code)]
-    pub(crate) fn alloc<A>(module: &Module<BE>, infos: &A) -> Self
+}
+
+pub trait FheUintBlocksPreparedFactory<T: UnsignedInteger, BE: Backend>
+where
+    Self: Sized + GGSWPreparedFactory<BE>,
+{
+    fn alloc_fhe_uint_blocks_prepared(
+        &self,
+        base2k: Base2K,
+        k: TorusPrecision,
+        dnum: Dnum,
+        dsize: Dsize,
+        rank: Rank,
+    ) -> FheUintBlocksPrepared<Vec<u8>, T, BE> {
+        FheUintBlocksPrepared {
+            blocks: (0..T::WORD_SIZE)
+                .map(|_| GGSWPrepared::alloc(self, base2k, k, dnum, dsize, rank))
+                .collect(),
+            _base: 1,
+            _phantom: PhantomData,
+        }
+    }
+
+    fn alloc_fhe_uint_blocks_prepared_from_infos<A>(&self, infos: &A) -> FheUintBlocksPrepared<Vec<u8>, T, BE>
     where
         A: GGSWInfos,
     {
-        Self::alloc_with(
-            module,
+        self.alloc_fhe_uint_blocks_prepared(
             infos.base2k(),
             infos.k(),
             infos.dnum(),
@@ -91,129 +62,90 @@ where
             infos.rank(),
         )
     }
+}
+
+impl<T: UnsignedInteger, BE: Backend> FheUintBlocksPrepared<Vec<u8>, T, BE> {
+    #[allow(dead_code)]
+    pub(crate) fn alloc<A, M>(module: &M, infos: &A) -> Self
+    where
+        A: GGSWInfos,
+        M: FheUintBlocksPreparedFactory<T, BE>,
+    {
+        module.alloc_fhe_uint_blocks_prepared_from_infos(infos)
+    }
 
     #[allow(dead_code)]
-    pub(crate) fn alloc_with(module: &Module<BE>, base2k: Base2K, k: TorusPrecision, dnum: Dnum, dsize: Dsize, rank: Rank) -> Self
+    pub(crate) fn alloc_with<M>(module: &M, base2k: Base2K, k: TorusPrecision, dnum: Dnum, dsize: Dsize, rank: Rank) -> Self
     where
-        Module<BE>: VmpPMatAlloc<BE>,
+        M: FheUintBlocksPreparedFactory<T, BE>,
     {
-        Self {
-            blocks: (0..T::WORD_SIZE)
-                .map(|_| GGSWPrepared::alloc(module, base2k, k, dnum, dsize, rank))
-                .collect(),
-            _base: 1,
-            _phantom: PhantomData,
-        }
+        module.alloc_fhe_uint_blocks_prepared(base2k, k, dnum, dsize, rank)
     }
 }
 
-impl<D: DataMut, T: UnsignedInteger + ToBits, BE: Backend> FheUintBlocksPrep<D, BE, T> {
-    #[allow(dead_code)]
-    #[cfg(test)]
-    pub(crate) fn encrypt_sk<S>(
-        &mut self,
-        module: &Module<BE>,
+#[cfg(test)]
+impl<T: UnsignedInteger + ToBits, BE: Backend> FheUintBlocksPreparedEncryptSk<T, BE> for Module<BE> where
+    Self: Sized + ModuleN + GGSWEncryptSk<BE> + GGSWPreparedFactory<BE>
+{
+}
+
+#[cfg(test)]
+pub trait FheUintBlocksPreparedEncryptSk<T: UnsignedInteger + ToBits, BE: Backend>
+where
+    Self: Sized + ModuleN + GGSWEncryptSk<BE> + GGSWPreparedFactory<BE>,
+{
+    fn fhe_uint_blocks_prepared_encrypt_sk<DM, S>(
+        &self,
+        res: &mut FheUintBlocksPrepared<DM, T, BE>,
         value: T,
-        sk: &GLWESecretPrepared<S, BE>,
+        sk: &S,
         source_xa: &mut Source,
         source_xe: &mut Source,
         scratch: &mut Scratch<BE>,
     ) where
-        S: DataRef,
-        Module<BE>: VecZnxAddScalarInplace
-            + VecZnxDftBytesOf
-            + VecZnxBigNormalize<BE>
-            + VecZnxDftApply<BE>
-            + SvpApplyDftToDftInplace<BE>
-            + VecZnxIdftApplyConsume<BE>
-            + VecZnxNormalizeTmpBytes
-            + VecZnxFillUniform
-            + VecZnxSubInplace
-            + VecZnxAddInplace
-            + VecZnxNormalizeInplace<BE>
-            + VecZnxAddNormal
-            + VecZnxNormalize<BE>
-            + VecZnxSub
-            + VmpPrepare<BE>,
+        DM: DataMut,
+        S: GLWESecretPreparedToRef<BE> + GLWEInfos,
         Scratch<BE>: ScratchTakeCore<BE>,
     {
-        #[cfg(debug_assertions)]
-        {
-            assert!(module.n().is_multiple_of(T::WORD_SIZE));
-            assert_eq!(self.n(), module.n() as u32);
-            assert_eq!(sk.n(), module.n() as u32);
-        }
+        use poulpy_hal::api::ScratchTakeBasic;
 
-        let (mut tmp_ggsw, scratch_1) = scratch.take_ggsw(self);
-        let (mut pt, scratch_2) = scratch_1.take_scalar_znx(module.n(), 1);
+        assert!(self.n().is_multiple_of(T::WORD_SIZE));
+        assert_eq!(res.n(), self.n() as u32);
+        assert_eq!(sk.n(), self.n() as u32);
+
+        let (mut tmp_ggsw, scratch_1) = scratch.take_ggsw(res);
+        let (mut pt, scratch_2) = scratch_1.take_scalar_znx(self.n(), 1);
 
         for i in 0..T::WORD_SIZE {
-
             use poulpy_hal::layouts::ZnxViewMut;
 
             pt.at_mut(0, 0)[0] = value.bit(i) as i64;
-            tmp_ggsw.encrypt_sk(&module, &pt, sk, source_xa, source_xe, scratch_2);
-            self.blocks[i].prepare(module, &tmp_ggsw, scratch_2);
+            tmp_ggsw.encrypt_sk(self, &pt, sk, source_xa, source_xe, scratch_2);
+            res.blocks[i].prepare(self, &tmp_ggsw, scratch_2);
         }
     }
-
-    /// Prepares [FheUintBits] to [FheUintBitsPrep].
-    pub fn prepare<BIT, KEY>(&mut self, module: &Module<BE>, bits: &FheUintBlocks<BIT, T>, key: &KEY, scratch: &mut Scratch<BE>)
-    where
-        BIT: DataRef,
-        KEY: FheUintPrepare<BE, FheUintBlocksPrep<D, BE, T>, FheUintBlocks<BIT, T>>,
-    {
-        key.prepare(module, self, bits, scratch);
-    }
 }
 
 #[cfg(test)]
-impl<D: DataMut, T: UnsignedInteger + ToBits> FheUintBlocksPrepDebug<D, T> {
-    pub(crate) fn prepare<BIT, KEY, BE: Backend>(
+impl<D: DataMut, T: UnsignedInteger + ToBits, BE: Backend> FheUintBlocksPrepared<D, T, BE> {
+    pub(crate) fn encrypt_sk<M, S>(
         &mut self,
-        module: &Module<BE>,
-        bits: &FheUintBlocks<BIT, T>,
-        key: &KEY,
+        module: &M,
+        value: T,
+        sk: &S,
+        source_xa: &mut Source,
+        source_xe: &mut Source,
         scratch: &mut Scratch<BE>,
     ) where
-        BIT: DataRef,
-        KEY: FheUintPrepare<BE, FheUintBlocksPrepDebug<D, T>, FheUintBlocks<BIT, T>>,
+        S: GLWESecretPreparedToRef<BE> + GLWEInfos,
+        M: FheUintBlocksPreparedEncryptSk<T, BE>,
+        Scratch<BE>: ScratchTakeCore<BE>,
     {
-        key.prepare(module, self, bits, scratch);
+        module.fhe_uint_blocks_prepared_encrypt_sk(self, value, sk, source_xa, source_xe, scratch);
     }
 }
 
-#[cfg(test)]
-impl<D: DataRef, T: UnsignedInteger + ToBits> FheUintBlocksPrepDebug<D, T> {
-    #[allow(dead_code)]
-    pub(crate) fn noise<S: DataRef, BE: Backend>(&self, module: &Module<BE>, sk: &GLWESecretPrepared<S, BE>, want: T)
-    where
-        Module<BE>: VecZnxDftBytesOf
-            + VecZnxBigBytesOf
-            + VecZnxDftApply<BE>
-            + SvpApplyDftToDftInplace<BE>
-            + VecZnxIdftApplyConsume<BE>
-            + VecZnxBigAddInplace<BE>
-            + VecZnxBigAddSmallInplace<BE>
-            + VecZnxBigNormalize<BE>
-            + VecZnxNormalizeTmpBytes
-            + VecZnxBigAlloc<BE>
-            + VecZnxDftAlloc<BE>
-            + VecZnxBigNormalizeTmpBytes
-            + VecZnxIdftApplyTmpA<BE>
-            + VecZnxAddScalarInplace
-            + VecZnxSubInplace,
-    {
-        for (i, ggsw) in self.blocks.iter().enumerate() {
-            use poulpy_hal::layouts::{ScalarZnx, ZnxViewMut};
-            let mut pt_want = ScalarZnx::alloc(self.n().into(), 1);
-            pt_want.at_mut(0, 0)[0] = want.bit(i) as i64;
-            ggsw.print_noise(module, sk, &pt_want);
-        }
-    }
-}
-
-impl<D: DataRef, T: UnsignedInteger, B: Backend> LWEInfos for FheUintBlocksPrep<D, B, T> {
+impl<D: DataRef, T: UnsignedInteger, B: Backend> LWEInfos for FheUintBlocksPrepared<D, T, B> {
     fn base2k(&self) -> poulpy_core::layouts::Base2K {
         self.blocks[0].base2k()
     }
@@ -227,46 +159,13 @@ impl<D: DataRef, T: UnsignedInteger, B: Backend> LWEInfos for FheUintBlocksPrep<
     }
 }
 
-impl<D: DataRef, T: UnsignedInteger, B: Backend> GLWEInfos for FheUintBlocksPrep<D, B, T> {
+impl<D: DataRef, T: UnsignedInteger, B: Backend> GLWEInfos for FheUintBlocksPrepared<D, T, B> {
     fn rank(&self) -> poulpy_core::layouts::Rank {
         self.blocks[0].rank()
     }
 }
 
-impl<D: DataRef, T: UnsignedInteger, B: Backend> GGSWInfos for FheUintBlocksPrep<D, B, T> {
-    fn dsize(&self) -> poulpy_core::layouts::Dsize {
-        self.blocks[0].dsize()
-    }
-
-    fn dnum(&self) -> poulpy_core::layouts::Dnum {
-        self.blocks[0].dnum()
-    }
-}
-
-#[cfg(test)]
-impl<D: DataRef, T: UnsignedInteger> LWEInfos for FheUintBlocksPrepDebug<D, T> {
-    fn base2k(&self) -> poulpy_core::layouts::Base2K {
-        self.blocks[0].base2k()
-    }
-
-    fn k(&self) -> poulpy_core::layouts::TorusPrecision {
-        self.blocks[0].k()
-    }
-
-    fn n(&self) -> poulpy_core::layouts::Degree {
-        self.blocks[0].n()
-    }
-}
-
-#[cfg(test)]
-impl<D: DataRef, T: UnsignedInteger> GLWEInfos for FheUintBlocksPrepDebug<D, T> {
-    fn rank(&self) -> poulpy_core::layouts::Rank {
-        self.blocks[0].rank()
-    }
-}
-
-#[cfg(test)]
-impl<D: DataRef, T: UnsignedInteger> GGSWInfos for FheUintBlocksPrepDebug<D, T> {
+impl<D: DataRef, T: UnsignedInteger, B: Backend> GGSWInfos for FheUintBlocksPrepared<D, T, B> {
     fn dsize(&self) -> poulpy_core::layouts::Dsize {
         self.blocks[0].dsize()
     }
diff --git a/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/mod.rs b/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/mod.rs
index 8b51045..b8054d7 100644
--- a/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/mod.rs
+++ b/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/mod.rs
@@ -2,6 +2,11 @@ mod block;
 mod block_prepared;
 mod word;
 
+#[cfg(test)]
+mod block_debug;
+#[cfg(test)]
+pub(crate) use block_debug::*;
+
 pub use block::*;
 pub use block_prepared::*;
 pub use word::*;
diff --git a/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/word.rs b/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/word.rs
index 9025b2e..1d3e218 100644
--- a/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/word.rs
+++ b/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/word.rs
@@ -1,20 +1,14 @@
 use itertools::Itertools;
 use poulpy_core::{
+    GLWECopy, GLWEDecrypt, GLWEEncryptSk, GLWEPacking, ScratchTakeCore,
     layouts::{
-        prepared::{GLWEAutomorphismKeyPrepared, GLWESecretPrepared}, GLWEInfos, GLWEPlaintextLayout, LWEInfos, TorusPrecision, GLWE
-    }, ScratchTakeCore,
+        GLWE, GLWEInfos, GLWEPlaintextLayout, GLWESecretPreparedToRef, LWEInfos, TorusPrecision,
+        prepared::GLWEAutomorphismKeyPrepared,
+    },
 };
 use poulpy_hal::{
-    api::{
-        ScratchAvailable, SvpApplyDftToDftInplace, VecZnxAddInplace, VecZnxAddNormal,
-        VecZnxAddScalarInplace, VecZnxAutomorphismInplace, VecZnxBigAddInplace, VecZnxBigAddSmallInplace,
-        VecZnxBigAutomorphismInplace, VecZnxBigNormalize, VecZnxBigNormalizeTmpBytes, VecZnxBigSubSmallNegateInplace, VecZnxCopy,
-        VecZnxDftApply, VecZnxDftBytesOf, VecZnxDftCopy, VecZnxFillUniform, VecZnxIdftApplyConsume, VecZnxIdftApplyTmpA,
-        VecZnxNegateInplace, VecZnxNormalize, VecZnxNormalizeInplace, VecZnxNormalizeTmpBytes, VecZnxRotate, VecZnxRotateInplace,
-        VecZnxRshInplace, VecZnxSub, VecZnxSubInplace, VecZnxSwitchRing, VmpApplyDftToDft, VmpApplyDftToDftAdd,
-        VmpApplyDftToDftTmpBytes,
-    },
-    layouts::{Backend, Data, DataMut, DataRef, Module, Scratch},
+    api::ModuleN,
+    layouts::{Backend, Data, DataMut, DataRef, Scratch},
     source::Source,
 };
 use std::{collections::HashMap, marker::PhantomData};
@@ -26,40 +20,15 @@ pub struct FheUintWord<D: Data, T: UnsignedInteger>(pub(crate) GLWE<D>, pub(crat
 
 impl<D: DataMut, T: UnsignedInteger> FheUintWord<D, T> {
     #[allow(dead_code)]
-    fn post_process<ATK, BE: Backend>(
+    fn post_process<ATK, M, BE: Backend>(
         &mut self,
-        module: &Module<BE>,
+        module: &M,
         mut tmp_res: Vec<GLWE<&mut [u8]>>,
         auto_keys: &HashMap<i64, GLWEAutomorphismKeyPrepared<ATK, BE>>,
         scratch: &mut Scratch<BE>,
     ) where
         ATK: DataRef,
-        Module<BE>: VecZnxSub
-            + VecZnxCopy
-            + VecZnxNegateInplace
-            + VecZnxDftBytesOf
-            + VecZnxAddInplace
-            + VmpApplyDftToDftTmpBytes
-            + VecZnxNormalizeTmpBytes
-            + VecZnxDftApply<BE>
-            + VmpApplyDftToDft<BE>
-            + VmpApplyDftToDftAdd<BE>
-            + VecZnxIdftApplyConsume<BE>
-            + VecZnxBigNormalize<BE>
-            + VecZnxNormalize<BE>
-            + VecZnxRotateInplace<BE>
-            + VecZnxNormalizeInplace<BE>
-            + VecZnxSwitchRing
-            + VecZnxBigAutomorphismInplace<BE>
-            + VecZnxRshInplace<BE>
-            + VecZnxDftCopy<BE>
-            + VecZnxIdftApplyTmpA<BE>
-            + VecZnxSubInplace
-            + VecZnxBigNormalizeTmpBytes
-            + VecZnxBigAddSmallInplace<BE>
-            + VecZnxAutomorphismInplace<BE>
-            + VecZnxBigSubSmallNegateInplace<BE>
-            + VecZnxRotate,
+        M: GLWEPacking<BE> + GLWECopy,
         Scratch<BE>: ScratchTakeCore<BE>,
     {
         // Repacks the GLWE ciphertexts bits
@@ -69,10 +38,11 @@ impl<D: DataMut, T: UnsignedInteger> FheUintWord<D, T> {
         for (i, ct) in tmp_res.iter_mut().enumerate().take(T::WORD_SIZE) {
             cts.insert(i * gap, ct);
         }
-        glwe_packing(module, &mut cts, log_gap, auto_keys, scratch);
+
+        module.glwe_pack(&mut cts, log_gap, auto_keys, scratch);
 
         // And copies the repacked ciphertext on the receiver.
-        self.0.copy(module, cts.remove(&0).unwrap())
+        module.glwe_copy(&mut self.0, cts.remove(&0).unwrap());
     }
 }
 
@@ -97,29 +67,17 @@ impl<D: DataRef, T: UnsignedInteger> GLWEInfos for FheUintWord<D, T> {
 }
 
 impl<D: DataMut, T: UnsignedInteger + ToBits> FheUintWord<D, T> {
-    pub fn encrypt_sk<S: DataRef, BE: Backend>(
+    pub fn encrypt_sk<S, M, BE: Backend>(
         &mut self,
-        module: &Module<BE>,
+        module: &M,
         data: T,
-        sk: &GLWESecretPrepared<S, BE>,
+        sk: &S,
         source_xa: &mut Source,
         source_xe: &mut Source,
         scratch: &mut Scratch<BE>,
     ) where
-        Module<BE>: VecZnxAddScalarInplace
-            + VecZnxDftBytesOf
-            + VecZnxBigNormalize<BE>
-            + VecZnxDftApply<BE>
-            + SvpApplyDftToDftInplace<BE>
-            + VecZnxIdftApplyConsume<BE>
-            + VecZnxNormalizeTmpBytes
-            + VecZnxFillUniform
-            + VecZnxSubInplace
-            + VecZnxAddInplace
-            + VecZnxNormalizeInplace<BE>
-            + VecZnxAddNormal
-            + VecZnxNormalize<BE>
-            + VecZnxSub,
+        S: GLWESecretPreparedToRef<BE> + GLWEInfos,
+        M: ModuleN + GLWEEncryptSk<BE>,
         Scratch<BE>: ScratchTakeCore<BE>,
     {
         #[cfg(debug_assertions)]
@@ -143,7 +101,7 @@ impl<D: DataMut, T: UnsignedInteger + ToBits> FheUintWord<D, T> {
             k: 1_usize.into(),
         };
 
-        let (mut pt, scratch_1) = scratch.take_glwe_pt(&pt_infos);
+        let (mut pt, scratch_1) = scratch.take_glwe_plaintext(&pt_infos);
 
         pt.encode_vec_i64(&data_bits, TorusPrecision(1));
         self.0
@@ -152,19 +110,10 @@ impl<D: DataMut, T: UnsignedInteger + ToBits> FheUintWord<D, T> {
 }
 
 impl<D: DataRef, T: UnsignedInteger + FromBits> FheUintWord<D, T> {
-    pub fn decrypt<S: DataRef, BE: Backend>(
-        &self,
-        module: &Module<BE>,
-        sk: &GLWESecretPrepared<S, BE>,
-        scratch: &mut Scratch<BE>,
-    ) -> T
+    pub fn decrypt<S, M, BE: Backend>(&self, module: &M, sk: &S, scratch: &mut Scratch<BE>) -> T
     where
-        Module<BE>: VecZnxDftApply<BE>
-            + SvpApplyDftToDftInplace<BE>
-            + VecZnxIdftApplyConsume<BE>
-            + VecZnxBigAddInplace<BE>
-            + VecZnxBigAddSmallInplace<BE>
-            + VecZnxBigNormalize<BE>,
+        S: GLWESecretPreparedToRef<BE> + GLWEInfos,
+        M: GLWEDecrypt<BE>,
         Scratch<BE>: ScratchTakeCore<BE>,
     {
         #[cfg(debug_assertions)]
@@ -182,7 +131,7 @@ impl<D: DataRef, T: UnsignedInteger + FromBits> FheUintWord<D, T> {
             k: 1_usize.into(),
         };
 
-        let (mut pt, scratch_1) = scratch.take_glwe_pt(&pt_infos);
+        let (mut pt, scratch_1) = scratch.take_glwe_plaintext(&pt_infos);
 
         self.0.decrypt(module, &mut pt, sk, scratch_1);
 
diff --git a/poulpy-schemes/src/tfhe/bdd_arithmetic/eval.rs b/poulpy-schemes/src/tfhe/bdd_arithmetic/eval.rs
index 953ee7a..2d5d086 100644
--- a/poulpy-schemes/src/tfhe/bdd_arithmetic/eval.rs
+++ b/poulpy-schemes/src/tfhe/bdd_arithmetic/eval.rs
@@ -1,13 +1,12 @@
 use itertools::Itertools;
 use poulpy_core::{
+    GLWEAdd, GLWECopy, GLWEExternalProduct, GLWESub, ScratchTakeCore,
     layouts::{
-        prepared::{GGSWPrepared, GGSWPreparedToRef}, GLWEToMut, LWEInfos, GLWE
-    }, GLWEExternalProduct, ScratchTakeCore
-};
-use poulpy_hal::{
-    api::{VecZnxAddInplace, VecZnxCopy, VecZnxNegateInplace, VecZnxSub},
-    layouts::{Backend, DataMut, DataRef, Module, Scratch, ZnxZero},
+        GLWE, LWEInfos,
+        prepared::{GGSWPrepared, GGSWPreparedToRef},
+    },
 };
+use poulpy_hal::layouts::{Backend, DataMut, DataRef, Module, Scratch, ZnxZero};
 
 use crate::tfhe::bdd_arithmetic::UnsignedInteger;
 
@@ -29,45 +28,43 @@ pub(crate) struct BitCircuit<const N: usize, const K: usize> {
 
 pub struct Circuit<C: BitCircuitInfo, const N: usize>(pub [C; N]);
 
-pub trait CircuitExecute<BE: Backend, T: UnsignedInteger>
-where
-    Self: GetBitCircuitInfo<T>,
-{
-    fn execute<O>(
+pub trait ExecuteBDDCircuit<T: UnsignedInteger, BE: Backend> {
+    fn execute_bdd_circuit<C, O>(
         &self,
-        module: &Module<BE>,
         out: &mut [GLWE<O>],
         inputs: &[&dyn GGSWPreparedToRef<BE>],
+        circuit: &C,
         scratch: &mut Scratch<BE>,
     ) where
+        C: GetBitCircuitInfo<T>,
         O: DataMut;
 }
 
-impl<C: BitCircuitInfo, const N: usize, T: UnsignedInteger, BE: Backend> CircuitExecute<BE, T> for Circuit<C, N>
+impl<T: UnsignedInteger, BE: Backend> ExecuteBDDCircuit<T, BE> for Module<BE>
 where
-    Self: GetBitCircuitInfo<T>,
-    Module<BE>: Cmux<BE> + VecZnxCopy,
+    Self: Cmux<BE> + GLWECopy,
     Scratch<BE>: ScratchTakeCore<BE>,
 {
-    fn execute<O>(
+    fn execute_bdd_circuit<C, O>(
         &self,
-        module: &Module<BE>,
         out: &mut [GLWE<O>],
         inputs: &[&dyn GGSWPreparedToRef<BE>],
+        circuit: &C,
         scratch: &mut Scratch<BE>,
     ) where
+        C: GetBitCircuitInfo<T>,
         O: DataMut,
     {
         #[cfg(debug_assertions)]
         {
-            assert_eq!(inputs.len(), self.input_size());
-            assert!(out.len() >= self.output_size());
+            assert_eq!(inputs.len(), circuit.input_size());
+            assert!(out.len() >= circuit.output_size());
         }
 
-        for (i, out_i) in out.iter_mut().enumerate().take(self.output_size()) {
-            let (nodes, levels, max_inter_state) = self.get_circuit(i);
+        for (i, out_i) in out.iter_mut().enumerate().take(circuit.output_size()) {
+            let (nodes, levels, max_inter_state) = circuit.get_circuit(i);
 
-            let (mut level, scratch_1) = scratch.take_glwe_ct_slice(max_inter_state * 2, out_i);
+            let (mut level, scratch_1) = scratch.take_glwe_slice(max_inter_state * 2, out_i);
 
             level.iter_mut().for_each(|ct| ct.data_mut().zero());
 
@@ -87,9 +84,9 @@ where
 
                 for (j, node) in nodes_lvl.iter().enumerate() {
                     if node.low_index == node.high_index {
-                        next_level[j].copy(module, prev_level[node.low_index]);
+                        self.glwe_copy(next_level[j], prev_level[node.low_index]);
                     } else {
-                        module.cmux(
+                        self.cmux(
                             next_level[j],
                             prev_level[node.high_index],
                             prev_level[node.low_index],
@@ -105,7 +102,7 @@ where
             // handle last output
             // there's always only 1 node at last level
             let node: &Node = nodes.last().unwrap();
-            module.cmux(
+            self.cmux(
                 out_i,
                 prev_level[node.high_index],
                 prev_level[node.low_index],
@@ -114,7 +111,7 @@ where
             );
         }
 
-        for out_i in out.iter_mut().skip(self.output_size()) {
+        for out_i in out.iter_mut().skip(circuit.output_size()) {
             out_i.data_mut().zero();
         }
     }
@@ -167,7 +164,8 @@ pub trait Cmux<BE: Backend> {
 
 impl<BE: Backend> Cmux<BE> for Module<BE>
 where
-    Module<BE>: GLWEExternalProduct<BE> + VecZnxSub + VecZnxCopy + VecZnxNegateInplace + VecZnxAddInplace,
+    Module<BE>: GLWEExternalProduct<BE> + GLWESub + GLWEAdd,
+    Scratch<BE>: ScratchTakeCore<BE>,
 {
     fn cmux<O, T, F, S>(&self, out: &mut GLWE<O>, t: &GLWE<T>, f: &GLWE<F>, s: &GGSWPrepared<S, BE>, scratch: &mut Scratch<BE>)
     where
@@ -177,8 +175,8 @@ where
         S: DataRef,
     {
         // let mut out: GLWECiphertext<&mut [u8]> = out.to_mut();
-        out.sub(self, t, f);
-        out.external_product_inplace(self, s, scratch);
-        out.to_mut().add_inplace(self, f);
+        self.glwe_sub(out, t, f);
+        self.glwe_external_product_inplace(out, s, scratch);
+        self.glwe_add_inplace(out, f);
     }
 }
diff --git a/poulpy-schemes/src/tfhe/bdd_arithmetic/key.rs b/poulpy-schemes/src/tfhe/bdd_arithmetic/key.rs
index e2b8453..d1c20c6 100644
--- a/poulpy-schemes/src/tfhe/bdd_arithmetic/key.rs
+++ b/poulpy-schemes/src/tfhe/bdd_arithmetic/key.rs
@@ -1,26 +1,21 @@
 #[cfg(test)]
-use crate::tfhe::bdd_arithmetic::FheUintBlocksPrepDebug;
+use crate::tfhe::bdd_arithmetic::FheUintBlocksPreparedDebug;
 use crate::tfhe::{
-    bdd_arithmetic::{FheUintBlocks, FheUintBlocksPrep, UnsignedInteger},
-    blind_rotation::{BlindRotationAlgo, BlindRotationKey, BlindRotationKeyAlloc, BlindRotationKeyEncryptSk},
+    bdd_arithmetic::{FheUintBlocks, FheUintBlocksPrepared, UnsignedInteger},
+    blind_rotation::{BlindRotationAlgo, BlindRotationKey, BlindRotationKeyFactory},
     circuit_bootstrapping::{
         CircuitBootstrappingKey, CircuitBootstrappingKeyEncryptSk, CircuitBootstrappingKeyLayout,
-        CircuitBootstrappingKeyPrepared, CirtuitBootstrappingExecute,
+        CircuitBootstrappingKeyPrepared, CircuitBootstrappingKeyPreparedFactory, CirtuitBootstrappingExecute,
     },
 };
 use poulpy_core::{
+    GLWEToLWESwitchingKeyEncryptSk, GetDistribution, LWEFromGLWE, ScratchTakeCore,
     layouts::{
-        prepared::GLWEToLWESwitchingKeyPrepared, GLWESecret, GLWEToLWEKeyLayout, GLWEToLWESwitchingKey, LWESecret
-    }, ScratchTakeCore,
+        GGSWInfos, GGSWPreparedFactory, GLWEInfos, GLWESecretToRef, GLWEToLWEKeyLayout, GLWEToLWESwitchingKey,
+        GLWEToLWESwitchingKeyPreparedFactory, LWE, LWEInfos, LWESecretToRef, prepared::GLWEToLWESwitchingKeyPrepared,
+    },
 };
 use poulpy_hal::{
-    api::{
-        ScratchAvailable, SvpApplyDftToDft, SvpApplyDftToDftInplace, SvpPPolAlloc, SvpPPolBytesOf, SvpPrepare, VecZnxAddInplace, VecZnxAddNormal, VecZnxAddScalarInplace,
-        VecZnxAutomorphism, VecZnxAutomorphismInplace, VecZnxBigAddSmallInplace, VecZnxBigNormalize, VecZnxBigNormalizeTmpBytes,
-        VecZnxDftApply, VecZnxDftBytesOf, VecZnxFillUniform, VecZnxIdftApplyConsume, VecZnxIdftApplyTmpA, VecZnxNormalize,
-        VecZnxNormalizeInplace, VecZnxNormalizeTmpBytes, VecZnxRotate, VecZnxSub, VecZnxSubInplace, VecZnxSwitchRing,
-        VmpApplyDftToDft, VmpApplyDftToDftAdd, VmpApplyDftToDftTmpBytes, VmpPrepare,
-    },
     layouts::{Backend, Data, DataMut, DataRef, Module, Scratch},
     source::Source,
 };
@@ -46,193 +41,256 @@ impl BDDKeyInfos for BDDKeyLayout {
     }
 }
 
-pub struct BDDKey<CBT, LWE, BRA>
+pub struct BDDKey<D, BRA>
 where
-    CBT: Data,
-    LWE: Data,
+    D: Data,
     BRA: BlindRotationAlgo,
 {
-    cbt: CircuitBootstrappingKey<CBT, BRA>,
-    ks: GLWEToLWESwitchingKey<LWE>,
+    cbt: CircuitBootstrappingKey<D, BRA>,
+    ks: GLWEToLWESwitchingKey<D>,
 }
 
-impl<BRA: BlindRotationAlgo> BDDKey<Vec<u8>, Vec<u8>, BRA> {
-    pub fn encrypt_sk<DLwe, DGlwe, A, BE: Backend>(
-        module: &Module<BE>,
-        sk_lwe: &LWESecret<DLwe>,
-        sk_glwe: &GLWESecret<DGlwe>,
-        infos: &A,
+impl<BRA: BlindRotationAlgo> BDDKey<Vec<u8>, BRA>
+where
+    BlindRotationKey<Vec<u8>, BRA>: BlindRotationKeyFactory<BRA>,
+{
+    pub fn alloc_from_infos<A>(infos: &A) -> Self
+    where
+        A: BDDKeyInfos,
+    {
+        Self {
+            cbt: CircuitBootstrappingKey::alloc_from_infos(&infos.cbt_infos()),
+            ks: GLWEToLWESwitchingKey::alloc_from_infos(&infos.ks_infos()),
+        }
+    }
+}
+
+pub trait BDDKeyEncryptSk<BRA: BlindRotationAlgo, BE: Backend> {
+    fn bdd_key_encrypt_sk<D, S0, S1>(
+        &self,
+        res: &mut BDDKey<D, BRA>,
+        sk_lwe: &S0,
+        sk_glwe: &S1,
         source_xa: &mut Source,
         source_xe: &mut Source,
         scratch: &mut Scratch<BE>,
-    ) -> Self
-    where
-        A: BDDKeyInfos,
-        DLwe: DataRef,
-        DGlwe: DataRef,
-        BlindRotationKey<Vec<u8>, BRA>: BlindRotationKeyAlloc + BlindRotationKeyEncryptSk<BE>,
-        Module<BE>: SvpApplyDftToDft<BE>
-            + VecZnxIdftApplyTmpA<BE>
-            + VecZnxAddScalarInplace
-            + VecZnxDftBytesOf
-            + VecZnxBigNormalize<BE>
-            + VecZnxDftApply<BE>
-            + SvpApplyDftToDftInplace<BE>
-            + VecZnxIdftApplyConsume<BE>
-            + VecZnxNormalizeTmpBytes
-            + VecZnxFillUniform
-            + VecZnxSubInplace
-            + VecZnxAddInplace
-            + VecZnxNormalizeInplace<BE>
-            + VecZnxAddNormal
-            + VecZnxNormalize<BE>
-            + VecZnxSub
-            + SvpPrepare<BE>
-            + VecZnxSwitchRing
-            + SvpPPolBytesOf
-            + SvpPPolAlloc<BE>
-            + VecZnxAutomorphism
-            + VecZnxAutomorphismInplace<BE>,
+    ) where
+        D: DataMut,
+        S0: LWESecretToRef + GetDistribution + LWEInfos,
+        S1: GLWESecretToRef + GetDistribution + GLWEInfos;
+}
+
+impl<BE: Backend, BRA: BlindRotationAlgo> BDDKeyEncryptSk<BRA, BE> for Module<BE>
+where
+    Self: CircuitBootstrappingKeyEncryptSk<BRA, BE> + GLWEToLWESwitchingKeyEncryptSk<BE>,
+    Scratch<BE>: ScratchTakeCore<BE>,
+{
+    fn bdd_key_encrypt_sk<D, S0, S1>(
+        &self,
+        res: &mut BDDKey<D, BRA>,
+        sk_lwe: &S0,
+        sk_glwe: &S1,
+        source_xa: &mut Source,
+        source_xe: &mut Source,
+        scratch: &mut Scratch<BE>,
+    ) where
+        D: DataMut,
+        S0: LWESecretToRef + GetDistribution + LWEInfos,
+        S1: GLWESecretToRef + GetDistribution + GLWEInfos,
+    {
+        res.ks
+            .encrypt_sk(self, sk_lwe, sk_glwe, source_xa, source_xe, scratch);
+        res.cbt
+            .encrypt_sk(self, sk_lwe, sk_glwe, source_xa, source_xe, scratch);
+    }
+}
+
+impl<D: DataMut, BRA: BlindRotationAlgo> BDDKey<D, BRA> {
+    pub fn encrypt_sk<S0, S1, M, BE: Backend>(
+        &mut self,
+        module: &M,
+        sk_lwe: &S0,
+        sk_glwe: &S1,
+        source_xa: &mut Source,
+        source_xe: &mut Source,
+        scratch: &mut Scratch<BE>,
+    ) where
+        S0: LWESecretToRef + GetDistribution + LWEInfos,
+        S1: GLWESecretToRef + GetDistribution + GLWEInfos,
+        M: BDDKeyEncryptSk<BRA, BE>,
         Scratch<BE>: ScratchTakeCore<BE>,
     {
-        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 {
-            cbt: CircuitBootstrappingKey::encrypt_sk(
-                module,
-                sk_lwe,
-                sk_glwe,
-                &infos.cbt_infos(),
-                source_xa,
-                source_xe,
-                scratch,
-            ),
-            ks,
-        }
+        module.bdd_key_encrypt_sk(self, sk_lwe, sk_glwe, source_xa, source_xe, scratch);
     }
 }
 
-pub struct BDDKeyPrepared<CBT, LWE, BRA, BE>
+pub struct BDDKeyPrepared<D, BRA, BE>
 where
-    CBT: Data,
-    LWE: Data,
+    D: Data,
     BRA: BlindRotationAlgo,
     BE: Backend,
 {
-    cbt: CircuitBootstrappingKeyPrepared<CBT, BRA, BE>,
-    ks: GLWEToLWESwitchingKeyPrepared<LWE, BE>,
+    pub(crate) cbt: CircuitBootstrappingKeyPrepared<D, BRA, BE>,
+    pub(crate) ks: GLWEToLWESwitchingKeyPrepared<D, BE>,
 }
 
-impl<CBT: DataMut, LWE: DataMut, BRA: BlindRotationAlgo, BE: Backend> PrepareAlloc<BE, BDDKeyPrepared<CBT, LWE, BRA, BE>>
-    for BDDKey<CBT, LWE, BRA>
+pub trait BDDKeyPreparedFactory<BRA: BlindRotationAlgo, BE: Backend>
 where
-    CircuitBootstrappingKey<CBT, BRA>: PrepareAlloc<BE, CircuitBootstrappingKeyPrepared<CBT, BRA, BE>>,
-    GLWEToLWESwitchingKey<LWE>: PrepareAlloc<BE, GLWEToLWESwitchingKeyPrepared<LWE, BE>>,
+    Self: Sized + CircuitBootstrappingKeyPreparedFactory<BRA, BE> + GLWEToLWESwitchingKeyPreparedFactory<BE>,
 {
-    fn prepare_alloc(&self, module: &Module<BE>, scratch: &mut Scratch<BE>) -> BDDKeyPrepared<CBT, LWE, BRA, BE> {
+    fn alloc_bdd_key_from_infos<A>(&self, infos: &A) -> BDDKeyPrepared<Vec<u8>, BRA, BE>
+    where
+        A: BDDKeyInfos,
+    {
         BDDKeyPrepared {
-            cbt: self.cbt.prepare_alloc(module, scratch),
-            ks: self.ks.prepare_alloc(module, scratch),
+            cbt: CircuitBootstrappingKeyPrepared::alloc_from_infos(self, &infos.cbt_infos()),
+            ks: GLWEToLWESwitchingKeyPrepared::alloc_from_infos(self, &infos.ks_infos()),
+        }
+    }
+
+    fn prepare_bdd_key_tmp_bytes<A>(&self, infos: &A) -> usize
+    where
+        A: BDDKeyInfos,
+    {
+        self.circuit_bootstrapping_key_prepare_tmp_bytes(&infos.cbt_infos())
+            .max(self.prepare_glwe_to_lwe_switching_key_tmp_bytes(&infos.ks_infos()))
+    }
+
+    fn prepare_bdd_key<DM, DR>(&self, res: &mut BDDKeyPrepared<DM, BRA, BE>, other: &BDDKey<DR, BRA>, scratch: &mut Scratch<BE>)
+    where
+        DM: DataMut,
+        DR: DataRef,
+        Scratch<BE>: ScratchTakeCore<BE>,
+    {
+        res.cbt.prepare(self, &other.cbt, scratch);
+        res.ks.prepare(self, &other.ks, scratch);
+    }
+}
+impl<BRA: BlindRotationAlgo, BE: Backend> BDDKeyPreparedFactory<BRA, BE> for Module<BE> where
+    Self: Sized + CircuitBootstrappingKeyPreparedFactory<BRA, BE> + GLWEToLWESwitchingKeyPreparedFactory<BE>
+{
+}
+
+impl<BRA: BlindRotationAlgo, BE: Backend> BDDKeyPrepared<Vec<u8>, BRA, BE> {
+    pub fn alloc_from_infos<M, A>(module: &M, infos: &A) -> Self
+    where
+        M: BDDKeyPreparedFactory<BRA, BE>,
+        A: BDDKeyInfos,
+    {
+        module.alloc_bdd_key_from_infos(infos)
+    }
+}
+
+impl<D: DataMut, BRA: BlindRotationAlgo, BE: Backend> BDDKeyPrepared<D, BRA, BE> {
+    pub fn prepare<DR, M>(&mut self, module: &M, other: &BDDKey<DR, BRA>, scratch: &mut Scratch<BE>)
+    where
+        DR: DataRef,
+        M: BDDKeyPreparedFactory<BRA, BE>,
+        Scratch<BE>: ScratchTakeCore<BE>,
+    {
+        module.prepare_bdd_key(self, other, scratch);
+    }
+}
+
+pub trait FheUintBlocksPrepare<BRA: BlindRotationAlgo, T: UnsignedInteger, BE: Backend> {
+    fn fhe_uint_blocks_prepare_tmp_bytes<R, A>(
+        &self,
+        block_size: usize,
+        extension_factor: usize,
+        res_infos: &R,
+        infos: &A,
+    ) -> usize
+    where
+        R: GGSWInfos,
+        A: BDDKeyInfos;
+    fn fhe_uint_blocks_prepare<DM, DR0, DR1>(
+        &self,
+        res: &mut FheUintBlocksPrepared<DM, T, BE>,
+        bits: &FheUintBlocks<DR0, T>,
+        key: &BDDKeyPrepared<DR1, BRA, BE>,
+        scratch: &mut Scratch<BE>,
+    ) where
+        DM: DataMut,
+        DR0: DataRef,
+        DR1: DataRef;
+}
+
+impl<BRA: BlindRotationAlgo, BE: Backend, T: UnsignedInteger> FheUintBlocksPrepare<BRA, T, BE> for Module<BE>
+where
+    Self: LWEFromGLWE<BE> + CirtuitBootstrappingExecute<BRA, BE> + GGSWPreparedFactory<BE>,
+    Scratch<BE>: ScratchTakeCore<BE>,
+{
+    fn fhe_uint_blocks_prepare_tmp_bytes<R, A>(
+        &self,
+        block_size: usize,
+        extension_factor: usize,
+        res_infos: &R,
+        bdd_infos: &A,
+    ) -> usize
+    where
+        R: GGSWInfos,
+        A: BDDKeyInfos,
+    {
+        self.circuit_bootstrapping_execute_tmp_bytes(
+            block_size,
+            extension_factor,
+            res_infos,
+            &bdd_infos.cbt_infos(),
+        )
+    }
+
+    fn fhe_uint_blocks_prepare<DM, DR0, DR1>(
+        &self,
+        res: &mut FheUintBlocksPrepared<DM, T, BE>,
+        bits: &FheUintBlocks<DR0, T>,
+        key: &BDDKeyPrepared<DR1, BRA, BE>,
+        scratch: &mut Scratch<BE>,
+    ) where
+        DM: DataMut,
+        DR0: DataRef,
+        DR1: DataRef,
+    {
+        assert_eq!(res.blocks.len(), bits.blocks.len());
+
+        let mut lwe: LWE<Vec<u8>> = LWE::alloc_from_infos(&bits.blocks[0]); //TODO: add TakeLWE
+        let (mut tmp_ggsw, scratch_1) = scratch.take_ggsw(res);
+        for (dst, src) in res.blocks.iter_mut().zip(bits.blocks.iter()) {
+            lwe.from_glwe(self, src, &key.ks, scratch_1);
+            key.cbt
+                .execute_to_constant(self, &mut tmp_ggsw, &lwe, 1, 1, scratch_1);
+            dst.prepare(self, &tmp_ggsw, scratch_1);
         }
     }
 }
 
-pub trait FheUintPrepare<BE: Backend, OUT, IN> {
-    fn prepare(&self, module: &Module<BE>, out: &mut OUT, bits: &IN, scratch: &mut Scratch<BE>);
-}
-
-impl<CBT, OUT, IN, LWE, BRA, BE, T> FheUintPrepare<BE, FheUintBlocksPrep<OUT, BE, T>, FheUintBlocks<IN, T>>
-    for BDDKeyPrepared<CBT, LWE, BRA, BE>
-where
-    T: UnsignedInteger,
-    CBT: DataRef,
-    OUT: DataMut,
-    IN: DataRef,
-    LWE: DataRef,
-    BRA: BlindRotationAlgo,
-    BE: Backend,
-    Module<BE>: VmpPrepare<BE>
-        + VecZnxRotate
-        + VecZnxDftBytesOf
-        + VmpApplyDftToDftTmpBytes
-        + VecZnxBigNormalizeTmpBytes
-        + VmpApplyDftToDft<BE>
-        + VmpApplyDftToDftAdd<BE>
-        + VecZnxDftApply<BE>
-        + VecZnxIdftApplyConsume<BE>
-        + VecZnxBigAddSmallInplace<BE>
-        + VecZnxBigNormalize<BE>
-        + VecZnxNormalize<BE>
-        + VecZnxNormalizeTmpBytes,
-    Scratch<BE>: ScratchAvailable + TakeVecZnxDft<BE> + TakeGLWE + TakeVecZnx + TakeGGSW,
-    CircuitBootstrappingKeyPrepared<CBT, BRA, BE>: CirtuitBootstrappingExecute<BE>,
-{
-    fn prepare(
-        &self,
-        module: &Module<BE>,
-        out: &mut FheUintBlocksPrep<OUT, BE, T>,
-        bits: &FheUintBlocks<IN, T>,
+impl<D: DataMut, T: UnsignedInteger, BE: Backend> FheUintBlocksPrepared<D, T, BE> {
+    pub fn prepare<BRA, M, O, K>(
+        &mut self,
+        module: &M,
+        other: &FheUintBlocks<O, T>,
+        key: &BDDKeyPrepared<K, BRA, BE>,
         scratch: &mut Scratch<BE>,
-    ) {
-        #[cfg(debug_assertions)]
-        {
-            assert_eq!(out.blocks.len(), bits.blocks.len());
-        }
-        let mut lwe: LWE<Vec<u8>> = LWE::alloc(&bits.blocks[0]); //TODO: add TakeLWE
-        let (mut tmp_ggsw, scratch_1) = scratch.take_ggsw(out);
-        for (dst, src) in out.blocks.iter_mut().zip(bits.blocks.iter()) {
-            lwe.from_glwe(module, src, &self.ks, scratch_1);
-            self.cbt
-                .execute_to_constant(module, &mut tmp_ggsw, &lwe, 1, 1, scratch_1);
-            dst.prepare(module, &tmp_ggsw, scratch_1);
-        }
+    ) where
+        BRA: BlindRotationAlgo,
+        O: DataRef,
+        K: DataRef,
+        M: FheUintBlocksPrepare<BRA, T, BE>,
+        Scratch<BE>: ScratchTakeCore<BE>,
+    {
+        module.fhe_uint_blocks_prepare(self, other, key, scratch);
     }
 }
 
 #[cfg(test)]
-impl<CBT, OUT, IN, LWE, BRA, BE, T> FheUintPrepare<BE, FheUintBlocksPrepDebug<OUT, T>, FheUintBlocks<IN, T>>
-    for BDDKeyPrepared<CBT, LWE, BRA, BE>
-where
-    T: UnsignedInteger,
-    CBT: DataRef,
-    OUT: DataMut,
-    IN: DataRef,
-    LWE: DataRef,
-    BRA: BlindRotationAlgo,
-    BE: Backend,
-    Module<BE>: VmpPrepare<BE>
-        + VecZnxRotate
-        + VecZnxDftBytesOf
-        + VmpApplyDftToDftTmpBytes
-        + VecZnxBigNormalizeTmpBytes
-        + VmpApplyDftToDft<BE>
-        + VmpApplyDftToDftAdd<BE>
-        + VecZnxDftApply<BE>
-        + VecZnxIdftApplyConsume<BE>
-        + VecZnxBigAddSmallInplace<BE>
-        + VecZnxBigNormalize<BE>
-        + VecZnxNormalize<BE>
-        + VecZnxNormalizeTmpBytes,
-    Scratch<BE>: ScratchTakeCore<BE>,
-    CircuitBootstrappingKeyPrepared<CBT, BRA, BE>: CirtuitBootstrappingExecute<BE>,
-{
-    fn prepare(
+pub(crate) trait FheUintBlockDebugPrepare<BRA: BlindRotationAlgo, T: UnsignedInteger, BE: Backend> {
+    fn fhe_uint_block_debug_prepare<DM, DR0, DR1>(
         &self,
-        module: &Module<BE>,
-        out: &mut FheUintBlocksPrepDebug<OUT, T>,
-        bits: &FheUintBlocks<IN, T>,
+        res: &mut FheUintBlocksPreparedDebug<DM, T>,
+        bits: &FheUintBlocks<DR0, T>,
+        key: &BDDKeyPrepared<DR1, BRA, BE>,
         scratch: &mut Scratch<BE>,
-    ) {
-        #[cfg(debug_assertions)]
-        {
-            assert_eq!(out.blocks.len(), bits.blocks.len());
-        }
-        let mut lwe: LWE<Vec<u8>> = LWE::alloc(&bits.blocks[0]); //TODO: add TakeLWE
-        for (dst, src) in out.blocks.iter_mut().zip(bits.blocks.iter()) {
-            lwe.from_glwe(module, src, &self.ks, scratch);
-            self.cbt
-                .execute_to_constant(module, dst, &lwe, 1, 1, scratch);
-        }
-    }
+    ) where
+        DM: DataMut,
+        DR0: DataRef,
+        DR1: DataRef;
 }
diff --git a/poulpy-schemes/src/tfhe/bdd_arithmetic/parameters.rs b/poulpy-schemes/src/tfhe/bdd_arithmetic/parameters.rs
index 90175fb..f807414 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::{
-    AutomorphismKeyLayout, Base2K, Degree, Dnum, Dsize, GGSWLayout, GLWELayout, GLWEToLWEKeyLayout, Rank, TensorKeyLayout,
-    TorusPrecision,
+    Base2K, Degree, Dnum, Dsize, GGSWLayout, GLWEAutomorphismKeyLayout, GLWELayout, GLWETensorKeyLayout, GLWEToLWEKeyLayout,
+    Rank, 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: AutomorphismKeyLayout {
+        layout_atk: GLWEAutomorphismKeyLayout {
             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: TensorKeyLayout {
+        layout_tsk: GLWETensorKeyLayout {
             n: Degree(TEST_N_GLWE),
             base2k: Base2K(TEST_BASE2K),
             k: TorusPrecision(52),
diff --git a/poulpy-schemes/src/tfhe/bdd_arithmetic/test.rs b/poulpy-schemes/src/tfhe/bdd_arithmetic/test.rs
index 1c2e69d..19155ea 100644
--- a/poulpy-schemes/src/tfhe/bdd_arithmetic/test.rs
+++ b/poulpy-schemes/src/tfhe/bdd_arithmetic/test.rs
@@ -2,43 +2,24 @@ use std::time::Instant;
 
 use poulpy_backend::FFT64Ref;
 use poulpy_core::{
-    TakeGGSW, TakeGLWEPlaintext,
-    layouts::{
-        GGSWLayout, GLWELayout, GLWESecret, LWEInfos, LWESecret,
-        prepared::{GLWESecretPrepared, PrepareAlloc},
-    },
+    GGSWNoise, GLWEDecrypt, GLWENoise, ScratchTakeCore,
+    layouts::{GGSWLayout, GLWELayout, GLWESecret, GLWESecretPreparedFactory, LWEInfos, LWESecret, prepared::GLWESecretPrepared},
 };
 use poulpy_hal::{
-    api::{
-        ModuleNew, ScratchAvailable, ScratchOwnedAlloc, ScratchOwnedBorrow, SvpApplyDftToDft, SvpApplyDftToDftInplace,
-        SvpPPolAlloc, SvpPPolBytesOf, SvpPrepare, TakeScalarZnx, TakeSlice, TakeVecZnx, TakeVecZnxBig, TakeVecZnxDft,
-        VecZnxAddInplace, VecZnxAddNormal, VecZnxAddScalarInplace, VecZnxAutomorphism, VecZnxAutomorphismInplace,
-        VecZnxBigAddInplace, VecZnxBigAddSmallInplace, VecZnxBigAlloc, VecZnxBigAutomorphismInplace, VecZnxBigBytesOf,
-        VecZnxBigNormalize, VecZnxBigNormalizeTmpBytes, VecZnxBigSubSmallNegateInplace, VecZnxCopy, VecZnxDftAddInplace,
-        VecZnxDftAlloc, VecZnxDftApply, VecZnxDftBytesOf, VecZnxDftCopy, VecZnxFillUniform, VecZnxIdftApplyConsume,
-        VecZnxIdftApplyTmpA, VecZnxNegateInplace, VecZnxNormalize, VecZnxNormalizeInplace, VecZnxNormalizeTmpBytes, VecZnxRotate,
-        VecZnxRotateInplace, VecZnxRotateInplaceTmpBytes, VecZnxRshInplace, VecZnxSub, VecZnxSubInplace, VecZnxSwitchRing,
-        VmpApplyDftToDft, VmpApplyDftToDftAdd, VmpApplyDftToDftTmpBytes, VmpPMatAlloc, VmpPrepare, ZnAddNormal, ZnFillUniform,
-        ZnNormalizeInplace,
-    },
+    api::{ModuleNew, ScratchOwnedAlloc, ScratchOwnedBorrow},
     layouts::{Backend, Module, Scratch, ScratchOwned},
-    oep::{
-        ScratchAvailableImpl, ScratchOwnedAllocImpl, ScratchOwnedBorrowImpl, TakeMatZnxImpl, TakeScalarZnxImpl, TakeSvpPPolImpl,
-        TakeVecZnxBigImpl, TakeVecZnxDftImpl, TakeVecZnxDftSliceImpl, TakeVecZnxImpl, TakeVecZnxSliceImpl,
-    },
     source::Source,
 };
 use rand::RngCore;
 
 use crate::tfhe::{
     bdd_arithmetic::{
-        Add, BDDKey, BDDKeyLayout, BDDKeyPrepared, FheUintBlocks, FheUintBlocksPrep, FheUintBlocksPrepDebug, Sub,
-        TEST_BDD_KEY_LAYOUT, TEST_BLOCK_SIZE, TEST_GGSW_INFOS, TEST_GLWE_INFOS, TEST_N_LWE,
-    },
-    blind_rotation::{
-        BlincRotationExecute, BlindRotationAlgo, BlindRotationKey, BlindRotationKeyAlloc, BlindRotationKeyEncryptSk,
-        BlindRotationKeyPrepared, CGGI,
+        Add, BDDKey, BDDKeyEncryptSk, BDDKeyLayout, BDDKeyPrepared, BDDKeyPreparedFactory, ExecuteBDDCircuit2WTo1W,
+        FheUintBlockDebugPrepare, FheUintBlocks, FheUintBlocksPrepare, FheUintBlocksPrepared, FheUintBlocksPreparedDebug,
+        FheUintBlocksPreparedEncryptSk, FheUintBlocksPreparedFactory, Sub, TEST_BDD_KEY_LAYOUT, TEST_BLOCK_SIZE, TEST_GGSW_INFOS,
+        TEST_GLWE_INFOS, TEST_N_LWE,
     },
+    blind_rotation::{BlindRotationAlgo, BlindRotationKey, BlindRotationKeyFactory, CGGI},
 };
 
 #[test]
@@ -48,64 +29,21 @@ fn test_bdd_2w_to_1w_fft64_ref() {
 
 fn test_bdd_2w_to_1w<BE: Backend, BRA: BlindRotationAlgo>()
 where
-    Module<BE>: ModuleNew<BE> + SvpPPolAlloc<BE> + SvpPrepare<BE> + VmpPMatAlloc<BE>,
+    Module<BE>: ModuleNew<BE>
+        + GLWESecretPreparedFactory<BE>
+        + GLWEDecrypt<BE>
+        + GLWENoise<BE>
+        + FheUintBlocksPreparedFactory<u32, BE>
+        + FheUintBlocksPreparedEncryptSk<u32, BE>
+        + FheUintBlockDebugPrepare<BRA, u32, BE>
+        + BDDKeyEncryptSk<BRA, BE>
+        + BDDKeyPreparedFactory<BRA, BE>
+        + GGSWNoise<BE>
+        + FheUintBlocksPrepare<BRA, u32, BE>
+        + ExecuteBDDCircuit2WTo1W<u32, BE>,
+    BlindRotationKey<Vec<u8>, BRA>: BlindRotationKeyFactory<BRA>,
     ScratchOwned<BE>: ScratchOwnedAlloc<BE> + ScratchOwnedBorrow<BE>,
-    Module<BE>: VecZnxAddScalarInplace
-        + VecZnxDftBytesOf
-        + VecZnxBigNormalize<BE>
-        + VecZnxDftApply<BE>
-        + SvpApplyDftToDftInplace<BE>
-        + VecZnxIdftApplyConsume<BE>
-        + VecZnxNormalizeTmpBytes
-        + VecZnxFillUniform
-        + VecZnxSubInplace
-        + VecZnxAddInplace
-        + VecZnxNormalizeInplace<BE>
-        + VecZnxAddNormal
-        + VecZnxNormalize<BE>
-        + VecZnxSub
-        + VmpPrepare<BE>,
-    Scratch<BE>: TakeVecZnxDft<BE> + ScratchAvailable + TakeVecZnx + TakeGGSW + TakeScalarZnx + TakeSlice,
-    Module<BE>: VecZnxCopy + VecZnxNegateInplace + VmpApplyDftToDftTmpBytes + VmpApplyDftToDft<BE> + VmpApplyDftToDftAdd<BE>,
-    Module<BE>: VecZnxBigAddInplace<BE> + VecZnxBigAddSmallInplace<BE> + VecZnxBigNormalize<BE>,
-    Scratch<BE>: TakeVecZnxDft<BE> + TakeVecZnxBig<BE> + TakeGLWEPlaintext<BE>,
-    Module<BE>: VecZnxAutomorphism
-        + VecZnxSwitchRing
-        + VecZnxBigBytesOf
-        + VecZnxIdftApplyTmpA<BE>
-        + SvpApplyDftToDft<BE>
-        + VecZnxBigAlloc<BE>
-        + VecZnxDftAlloc<BE>
-        + VecZnxBigNormalizeTmpBytes
-        + SvpPPolBytesOf
-        + VecZnxRotateInplace<BE>
-        + VecZnxBigAutomorphismInplace<BE>
-        + VecZnxRshInplace<BE>
-        + VecZnxDftCopy<BE>
-        + VecZnxAutomorphismInplace<BE>
-        + VecZnxBigSubSmallNegateInplace<BE>
-        + VecZnxRotateInplaceTmpBytes
-        + VecZnxBigBytesOf
-        + VecZnxDftAddInplace<BE>
-        + VecZnxRotate
-        + ZnFillUniform
-        + ZnAddNormal
-        + ZnNormalizeInplace<BE>,
-    BE: Backend
-        + ScratchOwnedAllocImpl<BE>
-        + ScratchOwnedBorrowImpl<BE>
-        + TakeVecZnxDftImpl<BE>
-        + ScratchAvailableImpl<BE>
-        + TakeVecZnxImpl<BE>
-        + TakeScalarZnxImpl<BE>
-        + TakeSvpPPolImpl<BE>
-        + TakeVecZnxBigImpl<BE>
-        + TakeVecZnxDftSliceImpl<BE>
-        + TakeMatZnxImpl<BE>
-        + TakeVecZnxSliceImpl<BE>,
-    BlindRotationKey<Vec<u8>, BRA>: PrepareAlloc<BE, BlindRotationKeyPrepared<Vec<u8>, BRA, BE>>,
-    BlindRotationKeyPrepared<Vec<u8>, BRA, BE>: BlincRotationExecute<BE>,
-    BlindRotationKey<Vec<u8>, BRA>: BlindRotationKeyAlloc + BlindRotationKeyEncryptSk<BE>,
+    Scratch<BE>: ScratchTakeCore<BE>,
 {
     let glwe_infos: GLWELayout = TEST_GLWE_INFOS;
     let ggsw_infos: GGSWLayout = TEST_GGSW_INFOS;
@@ -122,7 +60,8 @@ where
 
     let mut sk_glwe: GLWESecret<Vec<u8>> = GLWESecret::alloc_from_infos(&glwe_infos);
     sk_glwe.fill_ternary_prob(0.5, &mut source_xs);
-    let sk_glwe_prep: GLWESecretPrepared<Vec<u8>, BE> = sk_glwe.prepare_alloc(&module, scratch.borrow());
+    let mut sk_glwe_prep: GLWESecretPrepared<Vec<u8>, BE> = GLWESecretPrepared::alloc_from_infos(&module, &glwe_infos);
+    sk_glwe_prep.prepare(&module, &sk_glwe);
 
     let a: u32 = source.next_u32();
     let b: u32 = source.next_u32();
@@ -130,12 +69,15 @@ where
     println!("a: {a}");
     println!("b: {b}");
 
-    let mut a_enc_prep: FheUintBlocksPrep<Vec<u8>, BE, u32> = FheUintBlocksPrep::<Vec<u8>, BE, u32>::alloc(&module, &ggsw_infos);
-    let mut b_enc_prep: FheUintBlocksPrep<Vec<u8>, BE, u32> = FheUintBlocksPrep::<Vec<u8>, BE, u32>::alloc(&module, &ggsw_infos);
+    let mut a_enc_prep: FheUintBlocksPrepared<Vec<u8>, u32, BE> =
+        FheUintBlocksPrepared::<Vec<u8>, u32, BE>::alloc(&module, &ggsw_infos);
+    let mut b_enc_prep: FheUintBlocksPrepared<Vec<u8>, u32, BE> =
+        FheUintBlocksPrepared::<Vec<u8>, u32, BE>::alloc(&module, &ggsw_infos);
     let mut c_enc: FheUintBlocks<Vec<u8>, u32> = FheUintBlocks::<Vec<u8>, u32>::alloc(&module, &glwe_infos);
-    let mut c_enc_prep_debug: FheUintBlocksPrepDebug<Vec<u8>, u32> =
-        FheUintBlocksPrepDebug::<Vec<u8>, u32>::alloc(&module, &ggsw_infos);
-    let mut c_enc_prep: FheUintBlocksPrep<Vec<u8>, BE, u32> = FheUintBlocksPrep::<Vec<u8>, BE, u32>::alloc(&module, &ggsw_infos);
+    let mut c_enc_prep_debug: FheUintBlocksPreparedDebug<Vec<u8>, u32> =
+        FheUintBlocksPreparedDebug::<Vec<u8>, u32>::alloc(&module, &ggsw_infos);
+    let mut c_enc_prep: FheUintBlocksPrepared<Vec<u8>, u32, BE> =
+        FheUintBlocksPrepared::<Vec<u8>, u32, BE>::alloc(&module, &ggsw_infos);
 
     a_enc_prep.encrypt_sk(
         &module,
@@ -178,17 +120,19 @@ where
 
     let bdd_key_infos: BDDKeyLayout = TEST_BDD_KEY_LAYOUT;
 
+    let mut bdd_key: BDDKey<Vec<u8>, BRA> = BDDKey::alloc_from_infos(&bdd_key_infos);
+
     let now: Instant = Instant::now();
-    let bdd_key: BDDKey<Vec<u8>, Vec<u8>, BRA> = BDDKey::encrypt_sk(
+    bdd_key.encrypt_sk(
         &module,
         &sk_lwe,
         &sk_glwe,
-        &bdd_key_infos,
         &mut source_xa,
         &mut source_xe,
         scratch.borrow(),
     );
-    let bdd_key_prepared: BDDKeyPrepared<Vec<u8>, Vec<u8>, BRA, BE> = bdd_key.prepare_alloc(&module, scratch.borrow());
+    let mut bdd_key_prepared: BDDKeyPrepared<Vec<u8>, BRA, BE> = BDDKeyPrepared::alloc_from_infos(&module, &bdd_key_infos);
+    bdd_key_prepared.prepare(&module, &bdd_key, scratch.borrow());
     println!("BDD-KGEN: {} ms", now.elapsed().as_millis());
 
     let now: Instant = Instant::now();
diff --git a/poulpy-schemes/src/tfhe/blind_rotation/algorithms/cggi/key_prepared.rs b/poulpy-schemes/src/tfhe/blind_rotation/algorithms/cggi/key_prepared.rs
index fe3e795..bc1ab98 100644
--- a/poulpy-schemes/src/tfhe/blind_rotation/algorithms/cggi/key_prepared.rs
+++ b/poulpy-schemes/src/tfhe/blind_rotation/algorithms/cggi/key_prepared.rs
@@ -33,7 +33,14 @@ where
         }
     }
 
-    fn blind_rotation_key_prepare<DM, DR>(
+    fn blind_rotation_key_prepare_tmp_bytes<A>(&self, infos: &A) -> usize
+    where
+        A: BlindRotationKeyInfos,
+    {
+        self.ggsw_prepare_tmp_bytes(infos)
+    }
+
+    fn prepare_blind_rotation_key<DM, DR>(
         &self,
         res: &mut BlindRotationKeyPrepared<DM, CGGI, BE>,
         other: &BlindRotationKey<DR, CGGI>,
diff --git a/poulpy-schemes/src/tfhe/blind_rotation/layouts/key_prepared.rs b/poulpy-schemes/src/tfhe/blind_rotation/layouts/key_prepared.rs
index c18e71c..cf533c1 100644
--- a/poulpy-schemes/src/tfhe/blind_rotation/layouts/key_prepared.rs
+++ b/poulpy-schemes/src/tfhe/blind_rotation/layouts/key_prepared.rs
@@ -14,7 +14,11 @@ pub trait BlindRotationKeyPreparedFactory<BRA: BlindRotationAlgo, BE: Backend> {
     where
         A: BlindRotationKeyInfos;
 
-    fn blind_rotation_key_prepare<DM, DR>(
+    fn blind_rotation_key_prepare_tmp_bytes<A>(&self, infos: &A) -> usize
+    where
+        A: BlindRotationKeyInfos;
+
+    fn prepare_blind_rotation_key<DM, DR>(
         &self,
         res: &mut BlindRotationKeyPrepared<DM, BRA, BE>,
         other: &BlindRotationKey<DR, BRA>,
@@ -32,6 +36,14 @@ impl<BE: Backend, BRA: BlindRotationAlgo> BlindRotationKeyPrepared<Vec<u8>, BRA,
     {
         module.blind_rotation_key_prepared_alloc(infos)
     }
+
+    pub fn prepare_tmp_bytes<M, A>(module: &M, infos: &A) -> usize
+    where
+        A: BlindRotationKeyInfos,
+        M: BlindRotationKeyPreparedFactory<BRA, BE>,
+    {
+        module.blind_rotation_key_prepare_tmp_bytes(infos)
+    }
 }
 
 impl<D: DataMut, BRA: BlindRotationAlgo, BE: Backend> BlindRotationKeyPrepared<D, BRA, BE> {
@@ -39,7 +51,7 @@ impl<D: DataMut, BRA: BlindRotationAlgo, BE: Backend> BlindRotationKeyPrepared<D
     where
         M: BlindRotationKeyPreparedFactory<BRA, BE>,
     {
-        module.blind_rotation_key_prepare(self, other, scratch);
+        module.prepare_blind_rotation_key(self, other, scratch);
     }
 }
 
diff --git a/poulpy-schemes/src/tfhe/circuit_bootstrapping/circuit.rs b/poulpy-schemes/src/tfhe/circuit_bootstrapping/circuit.rs
index 5b3ea4d..a627e0c 100644
--- a/poulpy-schemes/src/tfhe/circuit_bootstrapping/circuit.rs
+++ b/poulpy-schemes/src/tfhe/circuit_bootstrapping/circuit.rs
@@ -18,10 +18,21 @@ use crate::tfhe::{
     blind_rotation::{
         BlindRotationAlgo, BlindRotationExecute, LookUpTableLayout, LookUpTableRotationDirection, LookupTable, LookupTableFactory,
     },
-    circuit_bootstrapping::CircuitBootstrappingKeyPrepared,
+    circuit_bootstrapping::{CircuitBootstrappingKeyInfos, CircuitBootstrappingKeyPrepared},
 };
 
 pub trait CirtuitBootstrappingExecute<BRA: BlindRotationAlgo, BE: Backend> {
+    fn circuit_bootstrapping_execute_tmp_bytes<R, A>(
+        &self,
+        block_size: usize,
+        extension_factor: usize,
+        res_infos: &R,
+        cbt_infos: &A,
+    ) -> usize
+    where
+        R: GGSWInfos,
+        A: CircuitBootstrappingKeyInfos;
+
     fn circuit_bootstrapping_execute_to_constant<R, L, D>(
         &self,
         res: &mut R,
@@ -68,6 +79,7 @@ impl<D: DataRef, BRA: BlindRotationAlgo, BE: Backend> CircuitBootstrappingKeyPre
         module.circuit_bootstrapping_execute_to_constant(res, lwe, self, log_domain, extension_factor, scratch);
     }
 
+    #[allow(clippy::too_many_arguments)]
     pub fn execute_to_exponent<R, L, M>(
         &self,
         module: &M,
@@ -107,6 +119,27 @@ where
     ScratchOwned<BE>: ScratchOwnedAlloc<BE> + ScratchOwnedBorrow<BE>,
     Scratch<BE>: ScratchTakeCore<BE>,
 {
+    fn circuit_bootstrapping_execute_tmp_bytes<R, A>(
+        &self,
+        block_size: usize,
+        extension_factor: usize,
+        res_infos: &R,
+        cbt_infos: &A,
+    ) -> usize
+    where
+        R: GGSWInfos,
+        A: CircuitBootstrappingKeyInfos,
+    {
+        self.blind_rotation_execute_tmp_bytes(
+            block_size,
+            extension_factor,
+            res_infos,
+            &cbt_infos.brk_infos(),
+        )
+        .max(self.glwe_trace_tmp_bytes(res_infos, res_infos, &cbt_infos.atk_infos()))
+        .max(self.ggsw_from_gglwe_tmp_bytes(res_infos, &cbt_infos.tsk_infos()))
+    }
+
     fn circuit_bootstrapping_execute_to_constant<R, L, D>(
         &self,
         res: &mut R,
diff --git a/poulpy-schemes/src/tfhe/circuit_bootstrapping/key_prepared.rs b/poulpy-schemes/src/tfhe/circuit_bootstrapping/key_prepared.rs
index db39a45..6adca70 100644
--- a/poulpy-schemes/src/tfhe/circuit_bootstrapping/key_prepared.rs
+++ b/poulpy-schemes/src/tfhe/circuit_bootstrapping/key_prepared.rs
@@ -75,6 +75,16 @@ where
                 .collect(),
         }
     }
+
+    fn circuit_bootstrapping_key_prepare_tmp_bytes<A>(&self, infos: &A) -> usize
+    where
+        A: CircuitBootstrappingKeyInfos,
+    {
+        self.blind_rotation_key_prepare_tmp_bytes(&infos.brk_infos())
+            .max(self.prepare_tensor_key_tmp_bytes(&infos.tsk_infos()))
+            .max(self.prepare_glwe_automorphism_key_tmp_bytes(&infos.atk_infos()))
+    }
+
     fn circuit_bootstrapping_key_prepare<DM, DR>(
         &self,
         res: &mut CircuitBootstrappingKeyPrepared<DM, BRA, BE>,
diff --git a/poulpy-schemes/src/tfhe/mod.rs b/poulpy-schemes/src/tfhe/mod.rs
index b91a937..85c84d4 100644
--- a/poulpy-schemes/src/tfhe/mod.rs
+++ b/poulpy-schemes/src/tfhe/mod.rs
@@ -1,3 +1,3 @@
-// pub mod bdd_arithmetic;
+pub mod bdd_arithmetic;
 pub mod blind_rotation;
 pub mod circuit_bootstrapping;