diff --git a/poulpy-core/src/layouts/glwe_to_lwe_key.rs b/poulpy-core/src/layouts/glwe_to_lwe_key.rs
index 2541d32..65ea1cf 100644
--- a/poulpy-core/src/layouts/glwe_to_lwe_key.rs
+++ b/poulpy-core/src/layouts/glwe_to_lwe_key.rs
@@ -175,12 +175,12 @@ impl GLWEToLWEKey<Vec<u8>> {
         assert_eq!(
             infos.rank_out().0,
             1,
-            "rank_out > 1 is not supported for GLWEToLWESwitchingKey"
+            "rank_out > 1 is not supported for GLWEToLWEKey"
         );
         assert_eq!(
             infos.dsize().0,
             1,
-            "dsize > 1 is not supported for GLWEToLWESwitchingKey"
+            "dsize > 1 is not supported for GLWEToLWEKey"
         );
         Self::bytes_of(
             infos.n(),
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 db4a1de..3f9628f 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
@@ -1,9 +1,10 @@
-use itertools::Itertools;
-use poulpy_core::layouts::prepared::GGSWPreparedToRef;
+use std::marker::PhantomData;
+
+use poulpy_core::layouts::GGSWPrepared;
 use poulpy_hal::layouts::{Backend, DataMut, DataRef, Module, Scratch};
 
 use crate::tfhe::bdd_arithmetic::{
-    ExecuteBDDCircuit, FheUintBlocks, FheUintBlocksPrepared, GetBitCircuitInfo, UnsignedInteger, circuits,
+    BitSize, ExecuteBDDCircuit, FheUint, FheUintPrepared, GetBitCircuitInfo, GetGGSWBit, UnsignedInteger, circuits,
 };
 
 impl<T: UnsignedInteger, BE: Backend> ExecuteBDDCircuit2WTo1W<T, BE> for Module<BE> where Self: Sized + ExecuteBDDCircuit<T, BE> {}
@@ -15,10 +16,10 @@ where
     /// Operations Z x Z -> Z
     fn execute_bdd_circuit_2w_to_1w<R, C, A, B>(
         &self,
-        out: &mut FheUintBlocks<R, T>,
+        out: &mut FheUint<R, T>,
         circuit: &C,
-        a: &FheUintBlocksPrepared<A, T, BE>,
-        b: &FheUintBlocksPrepared<B, T, BE>,
+        a: &FheUintPrepared<A, T, BE>,
+        b: &FheUintPrepared<B, T, BE>,
         scratch: &mut Scratch<BE>,
     ) where
         C: GetBitCircuitInfo<T>,
@@ -26,20 +27,59 @@ where
         A: DataRef,
         B: DataRef,
     {
-        assert_eq!(out.blocks.len(), T::WORD_SIZE);
-        assert_eq!(b.blocks.len(), T::WORD_SIZE);
-        assert_eq!(b.blocks.len(), T::WORD_SIZE);
+        assert_eq!(out.bits.len(), T::WORD_SIZE);
+        assert_eq!(b.bits.len(), T::WORD_SIZE);
+        assert_eq!(b.bits.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();
+        let inputs: Vec<&dyn GetGGSWBit<BE>> = [a as &dyn GetGGSWBit<BE>, b as &dyn GetGGSWBit<BE>].to_vec();
+        let helper: FheUintHelper<'_, T, BE> = FheUintHelper {
+            data: inputs,
+            _phantom: PhantomData,
+        };
 
         // Evaluates out[i] = circuit[i](a, b)
-        self.execute_bdd_circuit(&mut out.blocks, &inputs, circuit, scratch);
+        self.execute_bdd_circuit(&mut out.bits, &helper, circuit, scratch);
+    }
+}
+
+struct FheUintHelper<'a, T: UnsignedInteger, BE: Backend> {
+    data: Vec<&'a dyn GetGGSWBit<BE>>,
+    _phantom: PhantomData<T>,
+}
+
+impl<'a, T: UnsignedInteger, BE: Backend> GetGGSWBit<BE> for FheUintHelper<'a, T, BE> {
+    fn get_bit(&self, bit: usize) -> GGSWPrepared<&[u8], BE> {
+        let lo: usize = bit % T::WORD_SIZE;
+        let hi: usize = bit / T::WORD_SIZE;
+        self.data[hi].get_bit(lo)
+    }
+}
+
+impl<'a, T: UnsignedInteger, BE: Backend> BitSize for FheUintHelper<'a, T, BE> {
+    fn bit_size(&self) -> usize {
+        T::WORD_SIZE * self.data.len()
+    }
+}
+
+pub struct JoinedBits<A, B> {
+    pub lo: A,
+    pub hi: B,
+    pub split: usize, // 32 in your example
+}
+
+impl<A, B, BE> GetGGSWBit<BE> for JoinedBits<A, B>
+where
+    BE: Backend,
+    A: GetGGSWBit<BE>,
+    B: GetGGSWBit<BE>,
+{
+    fn get_bit(&self, bit: usize) -> GGSWPrepared<&[u8], BE> {
+        if bit < self.split {
+            self.lo.get_bit(bit)
+        } else {
+            self.hi.get_bit(bit - self.split)
+        }
     }
 }
 
@@ -51,8 +91,8 @@ macro_rules! define_bdd_2w_to_1w_trait {
             fn $method_name<A, M, B>(
                 &mut self,
                 module: &M,
-                a: &FheUintBlocksPrepared<A, T, BE>,
-                b: &FheUintBlocksPrepared<B, T, BE>,
+                a: &FheUintPrepared<A, T, BE>,
+                b: &FheUintPrepared<B, T, BE>,
                 scratch: &mut Scratch<BE>,
             ) where
                 M: ExecuteBDDCircuit2WTo1W<T, BE>,
@@ -65,12 +105,12 @@ macro_rules! define_bdd_2w_to_1w_trait {
 #[macro_export]
 macro_rules! impl_bdd_2w_to_1w_trait {
     ($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> {
+        impl<D: DataMut, BE: Backend> $trait_name<$ty, BE> for FheUint<D, $ty> {
             fn $method_name<A, M, B>(
                 &mut self,
                 module: &M,
-                a: &FheUintBlocksPrepared<A, $ty, BE>,
-                b: &FheUintBlocksPrepared<B, $ty, BE>,
+                a: &FheUintPrepared<A, $ty, BE>,
+                b: &FheUintPrepared<B, $ty, BE>,
                 scratch: &mut Scratch<BE>,
             ) where
                 M: ExecuteBDDCircuit2WTo1W<$ty, BE>,
diff --git a/poulpy-schemes/src/tfhe/bdd_arithmetic/blind_rotation.rs b/poulpy-schemes/src/tfhe/bdd_arithmetic/blind_rotation.rs
index 1f552d7..77c2155 100644
--- a/poulpy-schemes/src/tfhe/bdd_arithmetic/blind_rotation.rs
+++ b/poulpy-schemes/src/tfhe/bdd_arithmetic/blind_rotation.rs
@@ -43,7 +43,7 @@ where
     ) where
         R: GGSWToMut,
         A: GGSWToRef,
-        K: GetGGSWBit<T, BE>,
+        K: GetGGSWBit<BE>,
         Scratch<BE>: ScratchTakeCore<BE>,
     {
         let res: &mut GGSW<&mut [u8]> = &mut res.to_mut();
@@ -90,7 +90,7 @@ where
     ) where
         R: GGSWToMut,
         S: ScalarZnxToRef,
-        K: GetGGSWBit<T, BE>,
+        K: GetGGSWBit<BE>,
         Scratch<BE>: ScratchTakeCore<BE>,
     {
         let res: &mut GGSW<&mut [u8]> = &mut res.to_mut();
@@ -162,7 +162,7 @@ where
     ) where
         R: GLWEToMut,
         A: GLWEToRef,
-        K: GetGGSWBit<T, BE>,
+        K: GetGGSWBit<BE>,
         Scratch<BE>: ScratchTakeCore<BE>,
     {
         assert!(bit_rsh + bit_mask <= T::WORD_SIZE);
diff --git a/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/word.rs b/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/fhe_uint_compressed.rs
similarity index 87%
rename from poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/word.rs
rename to poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/fhe_uint_compressed.rs
index 1d3e218..d4b180b 100644
--- a/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/word.rs
+++ b/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/fhe_uint_compressed.rs
@@ -15,10 +15,10 @@ use std::{collections::HashMap, marker::PhantomData};
 
 use crate::tfhe::bdd_arithmetic::{FromBits, ToBits, UnsignedInteger};
 
-/// A FHE ciphertext encrypting a [UnsignedInteger].
-pub struct FheUintWord<D: Data, T: UnsignedInteger>(pub(crate) GLWE<D>, pub(crate) PhantomData<T>);
+/// An FHE ciphertext encrypting the bits of an [UnsignedInteger] in compressed format (ideal for decryption/serialization).
+pub struct FheUintCompressed<D: Data, T: UnsignedInteger>(pub(crate) GLWE<D>, pub(crate) PhantomData<T>);
 
-impl<D: DataMut, T: UnsignedInteger> FheUintWord<D, T> {
+impl<D: DataMut, T: UnsignedInteger> FheUintCompressed<D, T> {
     #[allow(dead_code)]
     fn post_process<ATK, M, BE: Backend>(
         &mut self,
@@ -46,7 +46,7 @@ impl<D: DataMut, T: UnsignedInteger> FheUintWord<D, T> {
     }
 }
 
-impl<D: DataRef, T: UnsignedInteger> LWEInfos for FheUintWord<D, T> {
+impl<D: DataRef, T: UnsignedInteger> LWEInfos for FheUintCompressed<D, T> {
     fn base2k(&self) -> poulpy_core::layouts::Base2K {
         self.0.base2k()
     }
@@ -60,13 +60,13 @@ impl<D: DataRef, T: UnsignedInteger> LWEInfos for FheUintWord<D, T> {
     }
 }
 
-impl<D: DataRef, T: UnsignedInteger> GLWEInfos for FheUintWord<D, T> {
+impl<D: DataRef, T: UnsignedInteger> GLWEInfos for FheUintCompressed<D, T> {
     fn rank(&self) -> poulpy_core::layouts::Rank {
         self.0.rank()
     }
 }
 
-impl<D: DataMut, T: UnsignedInteger + ToBits> FheUintWord<D, T> {
+impl<D: DataMut, T: UnsignedInteger + ToBits> FheUintCompressed<D, T> {
     pub fn encrypt_sk<S, M, BE: Backend>(
         &mut self,
         module: &M,
@@ -109,7 +109,7 @@ impl<D: DataMut, T: UnsignedInteger + ToBits> FheUintWord<D, T> {
     }
 }
 
-impl<D: DataRef, T: UnsignedInteger + FromBits> FheUintWord<D, T> {
+impl<D: DataRef, T: UnsignedInteger + FromBits> FheUintCompressed<D, T> {
     pub fn decrypt<S, M, BE: Backend>(&self, module: &M, sk: &S, scratch: &mut Scratch<BE>) -> T
     where
         S: GLWESecretPreparedToRef<BE> + GLWEInfos,
diff --git a/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/block_prepared.rs b/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/fhe_uint_prepared.rs
similarity index 71%
rename from poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/block_prepared.rs
rename to poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/fhe_uint_prepared.rs
index a232dc2..050cff0 100644
--- a/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/block_prepared.rs
+++ b/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/fhe_uint_prepared.rs
@@ -18,31 +18,24 @@ use crate::tfhe::bdd_arithmetic::ToBits;
 use crate::tfhe::bdd_arithmetic::UnsignedInteger;
 
 /// A prepared FHE ciphertext encrypting the bits of an [UnsignedInteger].
-pub struct FheUintBlocksPrepared<D: Data, T: UnsignedInteger, B: Backend> {
-    pub(crate) blocks: Vec<GGSWPrepared<D, B>>,
-    pub(crate) _base: u8,
+pub struct FheUintPrepared<D: Data, T: UnsignedInteger, B: Backend> {
+    pub(crate) bits: Vec<GGSWPrepared<D, B>>,
     pub(crate) _phantom: PhantomData<T>,
 }
 
-impl<D: Data, T: UnsignedInteger, B: Backend> FheUintBlocksPrepared<D, T, B> {
-    pub fn blocks(&self) -> &Vec<GGSWPrepared<D, B>> {
-        &self.blocks
-    }
-}
-
 impl<T: UnsignedInteger, BE: Backend> FheUintBlocksPreparedFactory<T, BE> for Module<BE> where
     Self: Sized + GGSWPreparedFactory<BE>
 {
 }
 
-pub trait GetGGSWBit<T: UnsignedInteger, BE: Backend> {
+pub trait GetGGSWBit<BE: Backend> {
     fn get_bit(&self, bit: usize) -> GGSWPrepared<&[u8], BE>;
 }
 
-impl<D: DataRef, T: UnsignedInteger, BE: Backend> GetGGSWBit<T, BE> for FheUintBlocksPrepared<D, T, BE> {
+impl<D: DataRef, T: UnsignedInteger, BE: Backend> GetGGSWBit<BE> for FheUintPrepared<D, T, BE> {
     fn get_bit(&self, bit: usize) -> GGSWPrepared<&[u8], BE> {
-        assert!(bit <= self.blocks.len());
-        self.blocks[bit].to_ref()
+        assert!(bit <= self.bits.len());
+        self.bits[bit].to_ref()
     }
 }
 
@@ -50,10 +43,10 @@ pub trait GetGGSWBitMut<T: UnsignedInteger, BE: Backend> {
     fn get_bit(&mut self, bit: usize) -> GGSWPrepared<&mut [u8], BE>;
 }
 
-impl<D: DataMut, T: UnsignedInteger, BE: Backend> GetGGSWBitMut<T, BE> for FheUintBlocksPrepared<D, T, BE> {
+impl<D: DataMut, T: UnsignedInteger, BE: Backend> GetGGSWBitMut<T, BE> for FheUintPrepared<D, T, BE> {
     fn get_bit(&mut self, bit: usize) -> GGSWPrepared<&mut [u8], BE> {
-        assert!(bit <= self.blocks.len());
-        self.blocks[bit].to_mut()
+        assert!(bit <= self.bits.len());
+        self.bits[bit].to_mut()
     }
 }
 
@@ -61,28 +54,27 @@ pub trait FheUintBlocksPreparedFactory<T: UnsignedInteger, BE: Backend>
 where
     Self: Sized + GGSWPreparedFactory<BE>,
 {
-    fn alloc_fhe_uint_blocks_prepared(
+    fn alloc_fhe_uint_prepared(
         &self,
         base2k: Base2K,
         k: TorusPrecision,
         dnum: Dnum,
         dsize: Dsize,
         rank: Rank,
-    ) -> FheUintBlocksPrepared<Vec<u8>, T, BE> {
-        FheUintBlocksPrepared {
-            blocks: (0..T::WORD_SIZE)
+    ) -> FheUintPrepared<Vec<u8>, T, BE> {
+        FheUintPrepared {
+            bits: (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>
+    fn alloc_fhe_uint_prepared_from_infos<A>(&self, infos: &A) -> FheUintPrepared<Vec<u8>, T, BE>
     where
         A: GGSWInfos,
     {
-        self.alloc_fhe_uint_blocks_prepared(
+        self.alloc_fhe_uint_prepared(
             infos.base2k(),
             infos.k(),
             infos.dnum(),
@@ -92,20 +84,20 @@ where
     }
 }
 
-impl<T: UnsignedInteger, BE: Backend> FheUintBlocksPrepared<Vec<u8>, T, BE> {
+impl<T: UnsignedInteger, BE: Backend> FheUintPrepared<Vec<u8>, T, BE> {
     pub 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)
+        module.alloc_fhe_uint_prepared_from_infos(infos)
     }
 
     pub fn alloc_with<M>(module: &M, base2k: Base2K, k: TorusPrecision, dnum: Dnum, dsize: Dsize, rank: Rank) -> Self
     where
         M: FheUintBlocksPreparedFactory<T, BE>,
     {
-        module.alloc_fhe_uint_blocks_prepared(base2k, k, dnum, dsize, rank)
+        module.alloc_fhe_uint_prepared(base2k, k, dnum, dsize, rank)
     }
 }
 
@@ -118,9 +110,9 @@ pub trait FheUintBlocksPreparedEncryptSk<T: UnsignedInteger + ToBits, BE: Backen
 where
     Self: Sized + ModuleN + GGSWEncryptSk<BE> + GGSWPreparedFactory<BE>,
 {
-    fn fhe_uint_blocks_prepared_encrypt_sk<DM, S>(
+    fn fhe_uint_prepared_encrypt_sk<DM, S>(
         &self,
-        res: &mut FheUintBlocksPrepared<DM, T, BE>,
+        res: &mut FheUintPrepared<DM, T, BE>,
         value: T,
         sk: &S,
         source_xa: &mut Source,
@@ -145,12 +137,12 @@ where
             use poulpy_hal::layouts::ZnxViewMut;
             pt.at_mut(0, 0)[0] = value.bit(i) as i64;
             tmp_ggsw.encrypt_sk(self, &pt, sk, source_xa, source_xe, scratch_2);
-            res.blocks[i].prepare(self, &tmp_ggsw, scratch_2);
+            res.bits[i].prepare(self, &tmp_ggsw, scratch_2);
         }
     }
 }
 
-impl<D: DataMut, T: UnsignedInteger + ToBits, BE: Backend> FheUintBlocksPrepared<D, T, BE> {
+impl<D: DataMut, T: UnsignedInteger + ToBits, BE: Backend> FheUintPrepared<D, T, BE> {
     pub fn encrypt_sk<M, S>(
         &mut self,
         module: &M,
@@ -164,36 +156,36 @@ impl<D: DataMut, T: UnsignedInteger + ToBits, BE: Backend> FheUintBlocksPrepared
         M: FheUintBlocksPreparedEncryptSk<T, BE>,
         Scratch<BE>: ScratchTakeCore<BE>,
     {
-        module.fhe_uint_blocks_prepared_encrypt_sk(self, value, sk, source_xa, source_xe, scratch);
+        module.fhe_uint_prepared_encrypt_sk(self, value, sk, source_xa, source_xe, scratch);
     }
 }
 
-impl<D: DataRef, T: UnsignedInteger, B: Backend> LWEInfos for FheUintBlocksPrepared<D, T, B> {
+impl<D: DataRef, T: UnsignedInteger, B: Backend> LWEInfos for FheUintPrepared<D, T, B> {
     fn base2k(&self) -> poulpy_core::layouts::Base2K {
-        self.blocks[0].base2k()
+        self.bits[0].base2k()
     }
 
     fn k(&self) -> poulpy_core::layouts::TorusPrecision {
-        self.blocks[0].k()
+        self.bits[0].k()
     }
 
     fn n(&self) -> poulpy_core::layouts::Degree {
-        self.blocks[0].n()
+        self.bits[0].n()
     }
 }
 
-impl<D: DataRef, T: UnsignedInteger, B: Backend> GLWEInfos for FheUintBlocksPrepared<D, T, B> {
+impl<D: DataRef, T: UnsignedInteger, B: Backend> GLWEInfos for FheUintPrepared<D, T, B> {
     fn rank(&self) -> poulpy_core::layouts::Rank {
-        self.blocks[0].rank()
+        self.bits[0].rank()
     }
 }
 
-impl<D: DataRef, T: UnsignedInteger, B: Backend> GGSWInfos for FheUintBlocksPrepared<D, T, B> {
+impl<D: DataRef, T: UnsignedInteger, B: Backend> GGSWInfos for FheUintPrepared<D, T, B> {
     fn dsize(&self) -> poulpy_core::layouts::Dsize {
-        self.blocks[0].dsize()
+        self.bits[0].dsize()
     }
 
     fn dnum(&self) -> poulpy_core::layouts::Dnum {
-        self.blocks[0].dnum()
+        self.bits[0].dnum()
     }
 }
diff --git a/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/block_debug.rs b/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/fhe_uint_prepared_debug.rs
similarity index 68%
rename from poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/block_debug.rs
rename to poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/fhe_uint_prepared_debug.rs
index bf98972..890f2bf 100644
--- a/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/block_debug.rs
+++ b/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/fhe_uint_prepared_debug.rs
@@ -1,8 +1,8 @@
 use std::marker::PhantomData;
 
-use crate::tfhe::bdd_arithmetic::{BDDKeyPrepared, FheUintBlockDebugPrepare, ToBits};
+use crate::tfhe::bdd_arithmetic::{BddKeyPrepared, FheUintBlockDebugPrepare, ToBits};
 use crate::tfhe::{
-    bdd_arithmetic::{FheUintBlocks, UnsignedInteger},
+    bdd_arithmetic::{FheUint, UnsignedInteger},
     blind_rotation::BlindRotationAlgo,
     circuit_bootstrapping::CirtuitBootstrappingExecute,
 };
@@ -18,13 +18,12 @@ use poulpy_core::{
 use poulpy_hal::api::ModuleN;
 use poulpy_hal::layouts::{Backend, Data, DataMut, DataRef, Module, Scratch};
 
-pub struct FheUintBlocksPreparedDebug<D: Data, T: UnsignedInteger> {
-    pub(crate) blocks: Vec<GGSW<D>>,
-    pub(crate) _base: u8,
+pub struct FheUintPreparedDebug<D: Data, T: UnsignedInteger> {
+    pub(crate) bits: Vec<GGSW<D>>,
     pub(crate) _phantom: PhantomData<T>,
 }
 
-impl<T: UnsignedInteger> FheUintBlocksPreparedDebug<Vec<u8>, T> {
+impl<T: UnsignedInteger> FheUintPreparedDebug<Vec<u8>, T> {
     pub fn alloc_from_infos<A, M>(module: &M, infos: &A) -> Self
     where
         M: ModuleN,
@@ -45,52 +44,51 @@ impl<T: UnsignedInteger> FheUintBlocksPreparedDebug<Vec<u8>, T> {
         M: ModuleN,
     {
         Self {
-            blocks: (0..T::WORD_SIZE)
+            bits: (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> {
+impl<D: DataRef, T: UnsignedInteger> LWEInfos for FheUintPreparedDebug<D, T> {
     fn base2k(&self) -> poulpy_core::layouts::Base2K {
-        self.blocks[0].base2k()
+        self.bits[0].base2k()
     }
 
     fn k(&self) -> poulpy_core::layouts::TorusPrecision {
-        self.blocks[0].k()
+        self.bits[0].k()
     }
 
     fn n(&self) -> poulpy_core::layouts::Degree {
-        self.blocks[0].n()
+        self.bits[0].n()
     }
 }
 
-impl<D: DataRef, T: UnsignedInteger> GLWEInfos for FheUintBlocksPreparedDebug<D, T> {
+impl<D: DataRef, T: UnsignedInteger> GLWEInfos for FheUintPreparedDebug<D, T> {
     fn rank(&self) -> poulpy_core::layouts::Rank {
-        self.blocks[0].rank()
+        self.bits[0].rank()
     }
 }
 
-impl<D: DataRef, T: UnsignedInteger> GGSWInfos for FheUintBlocksPreparedDebug<D, T> {
+impl<D: DataRef, T: UnsignedInteger> GGSWInfos for FheUintPreparedDebug<D, T> {
     fn dsize(&self) -> poulpy_core::layouts::Dsize {
-        self.blocks[0].dsize()
+        self.bits[0].dsize()
     }
 
     fn dnum(&self) -> poulpy_core::layouts::Dnum {
-        self.blocks[0].dnum()
+        self.bits[0].dnum()
     }
 }
 
-impl<D: DataRef, T: UnsignedInteger + ToBits> FheUintBlocksPreparedDebug<D, T> {
+impl<D: DataRef, T: UnsignedInteger + ToBits> FheUintPreparedDebug<D, T> {
     pub fn print_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() {
+        for (i, ggsw) in self.bits.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;
@@ -104,7 +102,7 @@ impl<D: DataRef, T: UnsignedInteger + ToBits> FheUintBlocksPreparedDebug<D, T> {
         M: GGSWNoise<BE>,
         F: Fn(usize) -> f64,
     {
-        for (i, ggsw) in self.blocks.iter().enumerate() {
+        for (i, ggsw) in self.bits.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;
@@ -118,33 +116,33 @@ where
     Self: LWEFromGLWE<BE> + CirtuitBootstrappingExecute<BRA, BE> + GGSWPreparedFactory<BE>,
     Scratch<BE>: ScratchTakeCore<BE>,
 {
-    fn fhe_uint_block_debug_prepare<DM, DR0, DR1>(
+    fn fhe_uint_debug_prepare<DM, DR0, DR1>(
         &self,
-        res: &mut FheUintBlocksPreparedDebug<DM, T>,
-        bits: &FheUintBlocks<DR0, T>,
-        key: &BDDKeyPrepared<DR1, BRA, BE>,
+        res: &mut FheUintPreparedDebug<DM, T>,
+        bits: &FheUint<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());
+        assert_eq!(res.bits.len(), bits.bits.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()) {
+        let mut lwe: LWE<Vec<u8>> = LWE::alloc_from_infos(&bits.bits[0]); //TODO: add TakeLWE
+        for (dst, src) in res.bits.iter_mut().zip(bits.bits.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> {
+impl<D: DataMut, T: UnsignedInteger> FheUintPreparedDebug<D, T> {
     pub fn prepare<BRA, M, O, K, BE: Backend>(
         &mut self,
         module: &M,
-        other: &FheUintBlocks<O, T>,
-        key: &BDDKeyPrepared<K, BRA, BE>,
+        other: &FheUint<O, T>,
+        key: &BddKeyPrepared<K, BRA, BE>,
         scratch: &mut Scratch<BE>,
     ) where
         BRA: BlindRotationAlgo,
@@ -153,6 +151,6 @@ impl<D: DataMut, T: UnsignedInteger> FheUintBlocksPreparedDebug<D, T> {
         M: FheUintBlockDebugPrepare<BRA, T, BE>,
         Scratch<BE>: ScratchTakeCore<BE>,
     {
-        module.fhe_uint_block_debug_prepare(self, other, key, scratch);
+        module.fhe_uint_debug_prepare(self, other, key, scratch);
     }
 }
diff --git a/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/block.rs b/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/fheuint.rs
similarity index 80%
rename from poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/block.rs
rename to poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/fheuint.rs
index b708047..3865818 100644
--- a/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/block.rs
+++ b/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/fheuint.rs
@@ -13,50 +13,42 @@ use poulpy_hal::source::Source;
 use crate::tfhe::bdd_arithmetic::{FromBits, ToBits, UnsignedInteger};
 
 /// An FHE ciphertext encrypting the bits of an [UnsignedInteger].
-pub struct FheUintBlocks<D: Data, T: UnsignedInteger> {
-    pub(crate) blocks: Vec<GLWE<D>>,
-    pub(crate) _base: u8,
+pub struct FheUint<D: Data, T: UnsignedInteger> {
+    pub(crate) bits: Vec<GLWE<D>>,
     pub(crate) _phantom: PhantomData<T>,
 }
 
-impl<D: DataRef, T: UnsignedInteger> FheUintBlocks<D, T> {
-    pub fn blocks(&self) -> &Vec<GLWE<D>> {
-        &self.blocks
-    }
-}
-
-impl<D: DataRef, T: UnsignedInteger> LWEInfos for FheUintBlocks<D, T> {
+impl<D: DataRef, T: UnsignedInteger> LWEInfos for FheUint<D, T> {
     fn base2k(&self) -> poulpy_core::layouts::Base2K {
-        self.blocks[0].base2k()
+        self.bits[0].base2k()
     }
 
     fn k(&self) -> poulpy_core::layouts::TorusPrecision {
-        self.blocks[0].k()
+        self.bits[0].k()
     }
 
     fn n(&self) -> poulpy_core::layouts::Degree {
-        self.blocks[0].n()
+        self.bits[0].n()
     }
 }
 
-impl<D: DataRef, T: UnsignedInteger> GLWEInfos for FheUintBlocks<D, T> {
+impl<D: DataRef, T: UnsignedInteger> GLWEInfos for FheUint<D, T> {
     fn rank(&self) -> poulpy_core::layouts::Rank {
-        self.blocks[0].rank()
+        self.bits[0].rank()
     }
 }
 
-impl<D: Data, T: UnsignedInteger> FheUintBlocks<D, T> {
-    pub fn new(blocks: Vec<GLWE<D>>) -> Self {
-        assert_eq!(blocks.len(), T::WORD_SIZE);
+impl<D: Data, T: UnsignedInteger> FheUint<D, T> {
+    pub fn new(bits: Vec<GLWE<D>>) -> Self {
+        assert_eq!(bits.len(), T::WORD_SIZE);
         Self {
-            blocks,
-            _base: 1,
+            bits,
             _phantom: PhantomData,
         }
     }
 }
 
-impl<T: UnsignedInteger> FheUintBlocks<Vec<u8>, T> {
+impl<T: UnsignedInteger> FheUint<Vec<u8>, T> {
     pub fn alloc_from_infos<A, BE: Backend>(module: &Module<BE>, infos: &A) -> Self
     where
         A: GLWEInfos,
@@ -66,16 +58,15 @@ impl<T: UnsignedInteger> FheUintBlocks<Vec<u8>, T> {
 
     pub fn alloc<BE: Backend>(module: &Module<BE>, base2k: Base2K, k: TorusPrecision, rank: Rank) -> Self {
         Self {
-            blocks: (0..T::WORD_SIZE)
+            bits: (0..T::WORD_SIZE)
                 .map(|_| GLWE::alloc(module.n().into(), base2k, k, rank))
                 .collect(),
-            _base: 1,
             _phantom: PhantomData,
         }
     }
 }
 
-impl<D: DataMut, T: UnsignedInteger + ToBits> FheUintBlocks<D, T> {
+impl<D: DataMut, T: UnsignedInteger + ToBits> FheUint<D, T> {
     pub fn encrypt_sk<S, BE: Backend>(
         &mut self,
         module: &Module<BE>,
@@ -110,12 +101,12 @@ impl<D: DataMut, T: UnsignedInteger + ToBits> FheUintBlocks<D, T> {
 
         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.bits[i].encrypt_sk(module, &pt, sk, source_xa, source_xe, scratch_1);
         }
     }
 }
 
-impl<D: DataRef, T: UnsignedInteger + FromBits + ToBits> FheUintBlocks<D, T> {
+impl<D: DataRef, T: UnsignedInteger + FromBits + ToBits> FheUint<D, T> {
     pub fn decrypt<S, BE: Backend>(&self, module: &Module<BE>, sk: &S, scratch: &mut Scratch<BE>) -> T
     where
         Module<BE>: GLWEDecrypt<BE>,
@@ -143,7 +134,7 @@ impl<D: DataRef, T: UnsignedInteger + FromBits + ToBits> FheUintBlocks<D, T> {
         let scale: f64 = 4.0 / ((1 << base2k) as f64);
 
         for (i, bit) in bits.iter_mut().enumerate().take(T::WORD_SIZE) {
-            self.blocks[i].decrypt(module, &mut pt, sk, scratch_1);
+            self.bits[i].decrypt(module, &mut pt, sk, scratch_1);
             let value: i64 = pt.decode_coeff_i64(base2k.into(), 0);
             *bit = ((value as f64) * scale).round() as u8;
         }
@@ -177,7 +168,7 @@ impl<D: DataRef, T: UnsignedInteger + FromBits + ToBits> FheUintBlocks<D, T> {
 
         for (i, noise_i) in noise.iter_mut().enumerate().take(T::WORD_SIZE) {
             pt_want.encode_coeff_i64(want.bit(i) as i64, TorusPrecision(2), 0);
-            *noise_i = self.blocks[i].noise(module, sk, &pt_want, scratch_1);
+            *noise_i = self.bits[i].noise(module, sk, &pt_want, scratch_1);
         }
 
         noise
diff --git a/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/mod.rs b/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/mod.rs
index 9dcc018..22f5043 100644
--- a/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/mod.rs
+++ b/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/mod.rs
@@ -1,11 +1,11 @@
-mod block;
-mod block_prepared;
-mod word;
+mod fhe_uint_compressed;
+mod fhe_uint_prepared;
+mod fheuint;
 
-mod block_debug;
+mod fhe_uint_prepared_debug;
 
-pub use block_debug::*;
+pub use fhe_uint_prepared_debug::*;
 
-pub use block::*;
-pub use block_prepared::*;
-pub use word::*;
+pub use fhe_uint_compressed::*;
+pub use fhe_uint_prepared::*;
+pub use fheuint::*;
diff --git a/poulpy-schemes/src/tfhe/bdd_arithmetic/eval.rs b/poulpy-schemes/src/tfhe/bdd_arithmetic/eval.rs
index 360c49a..2244eca 100644
--- a/poulpy-schemes/src/tfhe/bdd_arithmetic/eval.rs
+++ b/poulpy-schemes/src/tfhe/bdd_arithmetic/eval.rs
@@ -7,7 +7,7 @@ use poulpy_core::{
 };
 use poulpy_hal::layouts::{Backend, DataMut, Module, Scratch, ZnxZero};
 
-use crate::tfhe::bdd_arithmetic::UnsignedInteger;
+use crate::tfhe::bdd_arithmetic::{GetGGSWBit, UnsignedInteger};
 
 pub trait BitCircuitInfo {
     fn info(&self) -> (&[Node], usize);
@@ -27,35 +27,31 @@ pub(crate) struct BitCircuit<const N: usize> {
 pub struct Circuit<C: BitCircuitInfo, const N: usize>(pub [C; N]);
 
 pub trait ExecuteBDDCircuit<T: UnsignedInteger, BE: Backend> {
-    fn execute_bdd_circuit<C, O>(
-        &self,
-        out: &mut [GLWE<O>],
-        inputs: &[&dyn GGSWPreparedToRef<BE>],
-        circuit: &C,
-        scratch: &mut Scratch<BE>,
-    ) where
+    fn execute_bdd_circuit<C, G, O>(&self, out: &mut [GLWE<O>], inputs: &G, circuit: &C, scratch: &mut Scratch<BE>)
+    where
+        G: GetGGSWBit<BE> + BitSize,
         C: GetBitCircuitInfo<T>,
         O: DataMut;
 }
 
+pub trait BitSize {
+    fn bit_size(&self) -> usize;
+}
+
 impl<T: UnsignedInteger, BE: Backend> ExecuteBDDCircuit<T, BE> for Module<BE>
 where
     Self: Cmux<BE> + GLWECopy,
     Scratch<BE>: ScratchTakeCore<BE>,
 {
-    fn execute_bdd_circuit<C, O>(
-        &self,
-        out: &mut [GLWE<O>],
-        inputs: &[&dyn GGSWPreparedToRef<BE>],
-        circuit: &C,
-        scratch: &mut Scratch<BE>,
-    ) where
+    fn execute_bdd_circuit<C, G, O>(&self, out: &mut [GLWE<O>], inputs: &G, circuit: &C, scratch: &mut Scratch<BE>)
+    where
+        G: GetGGSWBit<BE> + BitSize,
         C: GetBitCircuitInfo<T>,
         O: DataMut,
     {
         #[cfg(debug_assertions)]
         {
-            assert_eq!(inputs.len(), circuit.input_size());
+            assert_eq!(inputs.bit_size(), circuit.input_size());
             assert!(out.len() >= circuit.output_size());
         }
 
@@ -86,7 +82,7 @@ where
                                 next_level[j],
                                 prev_level[*hi_idx],
                                 prev_level[*lo_idx],
-                                &inputs[*in_idx].to_ref(),
+                                &inputs.get_bit(*in_idx),
                                 scratch_1,
                             );
                         }
@@ -106,7 +102,7 @@ where
                         out_i,
                         prev_level[*hi_idx],
                         prev_level[*lo_idx],
-                        &inputs[*in_idx].to_ref(),
+                        &inputs.get_bit(*in_idx),
                         scratch_1,
                     );
                 }
diff --git a/poulpy-schemes/src/tfhe/bdd_arithmetic/key.rs b/poulpy-schemes/src/tfhe/bdd_arithmetic/key.rs
index 6a541cf..8ca9659 100644
--- a/poulpy-schemes/src/tfhe/bdd_arithmetic/key.rs
+++ b/poulpy-schemes/src/tfhe/bdd_arithmetic/key.rs
@@ -1,6 +1,6 @@
-use crate::tfhe::bdd_arithmetic::FheUintBlocksPreparedDebug;
+use crate::tfhe::bdd_arithmetic::FheUintPreparedDebug;
 use crate::tfhe::{
-    bdd_arithmetic::{FheUintBlocks, FheUintBlocksPrepared, UnsignedInteger},
+    bdd_arithmetic::{FheUint, FheUintPrepared, UnsignedInteger},
     blind_rotation::{BlindRotationAlgo, BlindRotationKey, BlindRotationKeyFactory},
     circuit_bootstrapping::{
         CircuitBootstrappingKey, CircuitBootstrappingKeyEncryptSk, CircuitBootstrappingKeyLayout,
@@ -123,7 +123,7 @@ impl<D: DataMut, BRA: BlindRotationAlgo> BDDKey<D, BRA> {
     }
 }
 
-pub struct BDDKeyPrepared<D, BRA, BE>
+pub struct BddKeyPrepared<D, BRA, BE>
 where
     D: Data,
     BRA: BlindRotationAlgo,
@@ -137,11 +137,11 @@ pub trait BDDKeyPreparedFactory<BRA: BlindRotationAlgo, BE: Backend>
 where
     Self: Sized + CircuitBootstrappingKeyPreparedFactory<BRA, BE> + GLWEToLWEKeyPreparedFactory<BE>,
 {
-    fn alloc_bdd_key_from_infos<A>(&self, infos: &A) -> BDDKeyPrepared<Vec<u8>, BRA, BE>
+    fn alloc_bdd_key_from_infos<A>(&self, infos: &A) -> BddKeyPrepared<Vec<u8>, BRA, BE>
     where
         A: BDDKeyInfos,
     {
-        BDDKeyPrepared {
+        BddKeyPrepared {
             cbt: CircuitBootstrappingKeyPrepared::alloc_from_infos(self, &infos.cbt_infos()),
             ks: GLWEToLWEKeyPrepared::alloc_from_infos(self, &infos.ks_infos()),
         }
@@ -155,7 +155,7 @@ where
             .max(self.prepare_glwe_to_lwe_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>)
+    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,
@@ -170,7 +170,7 @@ impl<BRA: BlindRotationAlgo, BE: Backend> BDDKeyPreparedFactory<BRA, BE> for Mod
 {
 }
 
-impl<BRA: BlindRotationAlgo, BE: Backend> BDDKeyPrepared<Vec<u8>, BRA, 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>,
@@ -180,7 +180,7 @@ impl<BRA: BlindRotationAlgo, BE: Backend> BDDKeyPrepared<Vec<u8>, BRA, BE> {
     }
 }
 
-impl<D: DataMut, BRA: BlindRotationAlgo, BE: Backend> BDDKeyPrepared<D, BRA, BE> {
+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,
@@ -192,21 +192,15 @@ impl<D: DataMut, BRA: BlindRotationAlgo, BE: Backend> BDDKeyPrepared<D, BRA, BE>
 }
 
 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
+    fn fhe_uint_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>(
+    fn fhe_uint_prepare<DM, DR0, DR1>(
         &self,
-        res: &mut FheUintBlocksPrepared<DM, T, BE>,
-        bits: &FheUintBlocks<DR0, T>,
-        key: &BDDKeyPrepared<DR1, BRA, BE>,
+        res: &mut FheUintPrepared<DM, T, BE>,
+        bits: &FheUint<DR0, T>,
+        key: &BddKeyPrepared<DR1, BRA, BE>,
         scratch: &mut Scratch<BE>,
     ) where
         DM: DataMut,
@@ -219,13 +213,7 @@ 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
+    fn fhe_uint_prepare_tmp_bytes<R, A>(&self, block_size: usize, extension_factor: usize, res_infos: &R, bdd_infos: &A) -> usize
     where
         R: GGSWInfos,
         A: BDDKeyInfos,
@@ -238,22 +226,22 @@ where
         )
     }
 
-    fn fhe_uint_blocks_prepare<DM, DR0, DR1>(
+    fn fhe_uint_prepare<DM, DR0, DR1>(
         &self,
-        res: &mut FheUintBlocksPrepared<DM, T, BE>,
-        bits: &FheUintBlocks<DR0, T>,
-        key: &BDDKeyPrepared<DR1, BRA, BE>,
+        res: &mut FheUintPrepared<DM, T, BE>,
+        bits: &FheUint<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());
+        assert_eq!(res.bits.len(), bits.bits.len());
 
-        let mut lwe: LWE<Vec<u8>> = LWE::alloc_from_infos(&bits.blocks[0]); //TODO: add TakeLWE
+        let mut lwe: LWE<Vec<u8>> = LWE::alloc_from_infos(&bits.bits[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()) {
+        for (dst, src) in res.bits.iter_mut().zip(bits.bits.iter()) {
             lwe.from_glwe(self, src, &key.ks, scratch_1);
             key.cbt
                 .execute_to_constant(self, &mut tmp_ggsw, &lwe, 1, 1, scratch_1);
@@ -262,12 +250,12 @@ where
     }
 }
 
-impl<D: DataMut, T: UnsignedInteger, BE: Backend> FheUintBlocksPrepared<D, T, BE> {
+impl<D: DataMut, T: UnsignedInteger, BE: Backend> FheUintPrepared<D, T, BE> {
     pub fn prepare<BRA, M, O, K>(
         &mut self,
         module: &M,
-        other: &FheUintBlocks<O, T>,
-        key: &BDDKeyPrepared<K, BRA, BE>,
+        other: &FheUint<O, T>,
+        key: &BddKeyPrepared<K, BRA, BE>,
         scratch: &mut Scratch<BE>,
     ) where
         BRA: BlindRotationAlgo,
@@ -276,16 +264,16 @@ impl<D: DataMut, T: UnsignedInteger, BE: Backend> FheUintBlocksPrepared<D, T, BE
         M: FheUintBlocksPrepare<BRA, T, BE>,
         Scratch<BE>: ScratchTakeCore<BE>,
     {
-        module.fhe_uint_blocks_prepare(self, other, key, scratch);
+        module.fhe_uint_prepare(self, other, key, scratch);
     }
 }
 
 pub trait FheUintBlockDebugPrepare<BRA: BlindRotationAlgo, T: UnsignedInteger, BE: Backend> {
-    fn fhe_uint_block_debug_prepare<DM, DR0, DR1>(
+    fn fhe_uint_debug_prepare<DM, DR0, DR1>(
         &self,
-        res: &mut FheUintBlocksPreparedDebug<DM, T>,
-        bits: &FheUintBlocks<DR0, T>,
-        key: &BDDKeyPrepared<DR1, BRA, BE>,
+        res: &mut FheUintPreparedDebug<DM, T>,
+        bits: &FheUint<DR0, T>,
+        key: &BddKeyPrepared<DR1, BRA, BE>,
         scratch: &mut Scratch<BE>,
     ) where
         DM: DataMut,
diff --git a/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/add.rs b/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/add.rs
index 2b568f6..1f50766 100644
--- a/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/add.rs
+++ b/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/add.rs
@@ -11,8 +11,8 @@ use rand::RngCore;
 
 use crate::tfhe::{
     bdd_arithmetic::{
-        Add, BDDKeyEncryptSk, BDDKeyPreparedFactory, ExecuteBDDCircuit2WTo1W, FheUintBlockDebugPrepare, FheUintBlocks,
-        FheUintBlocksPrepare, FheUintBlocksPrepared, FheUintBlocksPreparedEncryptSk, FheUintBlocksPreparedFactory,
+        Add, BDDKeyEncryptSk, BDDKeyPreparedFactory, ExecuteBDDCircuit2WTo1W, FheUint, FheUintBlockDebugPrepare,
+        FheUintBlocksPrepare, FheUintBlocksPreparedEncryptSk, FheUintBlocksPreparedFactory, FheUintPrepared,
         tests::test_suite::{TEST_GGSW_INFOS, TEST_GLWE_INFOS},
     },
     blind_rotation::{BlindRotationAlgo, BlindRotationKey, BlindRotationKeyFactory},
@@ -55,11 +55,9 @@ where
     let mut sk_glwe_prep: GLWESecretPrepared<Vec<u8>, BE> = GLWESecretPrepared::alloc_from_infos(&module, &glwe_infos);
     sk_glwe_prep.prepare(&module, &sk_glwe);
 
-    let mut res: FheUintBlocks<Vec<u8>, u32> = FheUintBlocks::<Vec<u8>, u32>::alloc_from_infos(&module, &glwe_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 res: FheUint<Vec<u8>, u32> = FheUint::<Vec<u8>, u32>::alloc_from_infos(&module, &glwe_infos);
+    let mut a_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<Vec<u8>, u32, BE>::alloc(&module, &ggsw_infos);
+    let mut b_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<Vec<u8>, u32, BE>::alloc(&module, &ggsw_infos);
 
     let a: u32 = source.next_u32();
     let b: u32 = source.next_u32();
diff --git a/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/and.rs b/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/and.rs
index 41936e0..aa91e01 100644
--- a/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/and.rs
+++ b/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/and.rs
@@ -11,8 +11,8 @@ use rand::RngCore;
 
 use crate::tfhe::{
     bdd_arithmetic::{
-        And, BDDKeyEncryptSk, BDDKeyPreparedFactory, ExecuteBDDCircuit2WTo1W, FheUintBlockDebugPrepare, FheUintBlocks,
-        FheUintBlocksPrepare, FheUintBlocksPrepared, FheUintBlocksPreparedEncryptSk, FheUintBlocksPreparedFactory,
+        And, BDDKeyEncryptSk, BDDKeyPreparedFactory, ExecuteBDDCircuit2WTo1W, FheUint, FheUintBlockDebugPrepare,
+        FheUintBlocksPrepare, FheUintBlocksPreparedEncryptSk, FheUintBlocksPreparedFactory, FheUintPrepared,
         tests::test_suite::{TEST_GGSW_INFOS, TEST_GLWE_INFOS},
     },
     blind_rotation::{BlindRotationAlgo, BlindRotationKey, BlindRotationKeyFactory},
@@ -55,11 +55,9 @@ where
     let mut sk_glwe_prep: GLWESecretPrepared<Vec<u8>, BE> = GLWESecretPrepared::alloc_from_infos(&module, &glwe_infos);
     sk_glwe_prep.prepare(&module, &sk_glwe);
 
-    let mut res: FheUintBlocks<Vec<u8>, u32> = FheUintBlocks::<Vec<u8>, u32>::alloc_from_infos(&module, &glwe_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 res: FheUint<Vec<u8>, u32> = FheUint::<Vec<u8>, u32>::alloc_from_infos(&module, &glwe_infos);
+    let mut a_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<Vec<u8>, u32, BE>::alloc(&module, &ggsw_infos);
+    let mut b_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<Vec<u8>, u32, BE>::alloc(&module, &ggsw_infos);
 
     let a: u32 = source.next_u32();
     let b: u32 = source.next_u32();
diff --git a/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/ggsw_blind_rotations.rs b/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/ggsw_blind_rotations.rs
index db68180..45f9197 100644
--- a/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/ggsw_blind_rotations.rs
+++ b/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/ggsw_blind_rotations.rs
@@ -12,7 +12,7 @@ use poulpy_hal::{
 };
 use rand::RngCore;
 
-use crate::tfhe::bdd_arithmetic::{FheUintBlocksPrepared, GGSWBlindRotation};
+use crate::tfhe::bdd_arithmetic::{FheUintPrepared, GGSWBlindRotation};
 
 pub fn test_scalar_to_ggsw_blind_rotation<BE: Backend>()
 where
@@ -80,8 +80,7 @@ where
 
     // println!("k: {k}");
 
-    let mut k_enc_prep: FheUintBlocksPrepared<Vec<u8>, u32, BE> =
-        FheUintBlocksPrepared::<Vec<u8>, u32, BE>::alloc(&module, &ggsw_k_infos);
+    let mut k_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<Vec<u8>, u32, BE>::alloc(&module, &ggsw_k_infos);
     k_enc_prep.encrypt_sk(
         &module,
         k,
diff --git a/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/glwe_blind_rotation.rs b/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/glwe_blind_rotation.rs
index fce0259..6448e4a 100644
--- a/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/glwe_blind_rotation.rs
+++ b/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/glwe_blind_rotation.rs
@@ -12,7 +12,7 @@ use poulpy_hal::{
 };
 use rand::RngCore;
 
-use crate::tfhe::bdd_arithmetic::{FheUintBlocksPrepared, GLWEBlindRotation};
+use crate::tfhe::bdd_arithmetic::{FheUintPrepared, GLWEBlindRotation};
 
 pub fn test_glwe_to_glwe_blind_rotation<BE: Backend>()
 where
@@ -72,8 +72,7 @@ where
 
     let k: u32 = source.next_u32();
 
-    let mut k_enc_prep: FheUintBlocksPrepared<Vec<u8>, u32, BE> =
-        FheUintBlocksPrepared::<Vec<u8>, u32, BE>::alloc(&module, &ggsw_infos);
+    let mut k_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<Vec<u8>, u32, BE>::alloc(&module, &ggsw_infos);
     k_enc_prep.encrypt_sk(
         &module,
         k,
diff --git a/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/or.rs b/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/or.rs
index 779a82e..a13b8cb 100644
--- a/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/or.rs
+++ b/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/or.rs
@@ -11,8 +11,8 @@ use rand::RngCore;
 
 use crate::tfhe::{
     bdd_arithmetic::{
-        BDDKeyEncryptSk, BDDKeyPreparedFactory, ExecuteBDDCircuit2WTo1W, FheUintBlockDebugPrepare, FheUintBlocks,
-        FheUintBlocksPrepare, FheUintBlocksPrepared, FheUintBlocksPreparedEncryptSk, FheUintBlocksPreparedFactory, Or,
+        BDDKeyEncryptSk, BDDKeyPreparedFactory, ExecuteBDDCircuit2WTo1W, FheUint, FheUintBlockDebugPrepare, FheUintBlocksPrepare,
+        FheUintBlocksPreparedEncryptSk, FheUintBlocksPreparedFactory, FheUintPrepared, Or,
         tests::test_suite::{TEST_GGSW_INFOS, TEST_GLWE_INFOS},
     },
     blind_rotation::{BlindRotationAlgo, BlindRotationKey, BlindRotationKeyFactory},
@@ -55,11 +55,9 @@ where
     let mut sk_glwe_prep: GLWESecretPrepared<Vec<u8>, BE> = GLWESecretPrepared::alloc_from_infos(&module, &glwe_infos);
     sk_glwe_prep.prepare(&module, &sk_glwe);
 
-    let mut res: FheUintBlocks<Vec<u8>, u32> = FheUintBlocks::<Vec<u8>, u32>::alloc_from_infos(&module, &glwe_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 res: FheUint<Vec<u8>, u32> = FheUint::<Vec<u8>, u32>::alloc_from_infos(&module, &glwe_infos);
+    let mut a_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<Vec<u8>, u32, BE>::alloc(&module, &ggsw_infos);
+    let mut b_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<Vec<u8>, u32, BE>::alloc(&module, &ggsw_infos);
 
     let a: u32 = source.next_u32();
     let b: u32 = source.next_u32();
diff --git a/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/prepare.rs b/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/prepare.rs
index 3fcab1b..8cdf932 100644
--- a/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/prepare.rs
+++ b/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/prepare.rs
@@ -11,9 +11,9 @@ use rand::RngCore;
 
 use crate::tfhe::{
     bdd_arithmetic::{
-        BDDKey, BDDKeyEncryptSk, BDDKeyLayout, BDDKeyPrepared, BDDKeyPreparedFactory, ExecuteBDDCircuit2WTo1W,
-        FheUintBlockDebugPrepare, FheUintBlocks, FheUintBlocksPrepare, FheUintBlocksPreparedDebug,
-        FheUintBlocksPreparedEncryptSk, FheUintBlocksPreparedFactory,
+        BDDKey, BDDKeyEncryptSk, BDDKeyLayout, BDDKeyPreparedFactory, BddKeyPrepared, ExecuteBDDCircuit2WTo1W, FheUint,
+        FheUintBlockDebugPrepare, FheUintBlocksPrepare, FheUintBlocksPreparedEncryptSk, FheUintBlocksPreparedFactory,
+        FheUintPreparedDebug,
         tests::test_suite::{TEST_BASE2K, TEST_BDD_KEY_LAYOUT, TEST_BLOCK_SIZE, TEST_GGSW_INFOS, TEST_GLWE_INFOS, TEST_N_LWE},
     },
     blind_rotation::{BlindRotationAlgo, BlindRotationKey, BlindRotationKeyFactory},
@@ -79,12 +79,12 @@ where
         &mut source_xe,
         scratch.borrow(),
     );
-    let mut bdd_key_prepared: BDDKeyPrepared<Vec<u8>, BRA, BE> = BDDKeyPrepared::alloc_from_infos(&module, &bdd_key_infos);
+    let mut bdd_key_prepared: BddKeyPrepared<Vec<u8>, BRA, BE> = BddKeyPrepared::alloc_from_infos(&module, &bdd_key_infos);
     source.fill_bytes(&mut scratch.borrow().data);
     bdd_key_prepared.prepare(&module, &bdd_key, scratch.borrow());
 
     // GLWE(value)
-    let mut c_enc: FheUintBlocks<Vec<u8>, u32> = FheUintBlocks::alloc_from_infos(&module, &glwe_infos);
+    let mut c_enc: FheUint<Vec<u8>, u32> = FheUint::alloc_from_infos(&module, &glwe_infos);
     let value: u32 = source.next_u32();
     c_enc.encrypt_sk(
         &module,
@@ -96,8 +96,8 @@ where
     );
 
     // GGSW(0)
-    let mut c_enc_prep_debug: FheUintBlocksPreparedDebug<Vec<u8>, u32> =
-        FheUintBlocksPreparedDebug::<Vec<u8>, u32>::alloc_from_infos(&module, &ggsw_infos);
+    let mut c_enc_prep_debug: FheUintPreparedDebug<Vec<u8>, u32> =
+        FheUintPreparedDebug::<Vec<u8>, u32>::alloc_from_infos(&module, &ggsw_infos);
 
     // GGSW(value)
     c_enc_prep_debug.prepare(&module, &c_enc, &bdd_key_prepared, scratch.borrow());
diff --git a/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/sll.rs b/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/sll.rs
index 3378d05..f0bc716 100644
--- a/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/sll.rs
+++ b/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/sll.rs
@@ -11,8 +11,8 @@ use rand::RngCore;
 
 use crate::tfhe::{
     bdd_arithmetic::{
-        BDDKeyEncryptSk, BDDKeyPreparedFactory, ExecuteBDDCircuit2WTo1W, FheUintBlockDebugPrepare, FheUintBlocks,
-        FheUintBlocksPrepare, FheUintBlocksPrepared, FheUintBlocksPreparedEncryptSk, FheUintBlocksPreparedFactory, Sll,
+        BDDKeyEncryptSk, BDDKeyPreparedFactory, ExecuteBDDCircuit2WTo1W, FheUint, FheUintBlockDebugPrepare, FheUintBlocksPrepare,
+        FheUintBlocksPreparedEncryptSk, FheUintBlocksPreparedFactory, FheUintPrepared, Sll,
         tests::test_suite::{TEST_GGSW_INFOS, TEST_GLWE_INFOS},
     },
     blind_rotation::{BlindRotationAlgo, BlindRotationKey, BlindRotationKeyFactory},
@@ -55,11 +55,9 @@ where
     let mut sk_glwe_prep: GLWESecretPrepared<Vec<u8>, BE> = GLWESecretPrepared::alloc_from_infos(&module, &glwe_infos);
     sk_glwe_prep.prepare(&module, &sk_glwe);
 
-    let mut res: FheUintBlocks<Vec<u8>, u32> = FheUintBlocks::<Vec<u8>, u32>::alloc_from_infos(&module, &glwe_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 res: FheUint<Vec<u8>, u32> = FheUint::<Vec<u8>, u32>::alloc_from_infos(&module, &glwe_infos);
+    let mut a_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<Vec<u8>, u32, BE>::alloc(&module, &ggsw_infos);
+    let mut b_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<Vec<u8>, u32, BE>::alloc(&module, &ggsw_infos);
 
     let a: u32 = source.next_u32();
     let b: u32 = source.next_u32() & 15;
diff --git a/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/slt.rs b/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/slt.rs
index 9ae2203..3512bd6 100644
--- a/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/slt.rs
+++ b/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/slt.rs
@@ -11,8 +11,8 @@ use rand::RngCore;
 
 use crate::tfhe::{
     bdd_arithmetic::{
-        BDDKeyEncryptSk, BDDKeyPreparedFactory, ExecuteBDDCircuit2WTo1W, FheUintBlockDebugPrepare, FheUintBlocks,
-        FheUintBlocksPrepare, FheUintBlocksPrepared, FheUintBlocksPreparedEncryptSk, FheUintBlocksPreparedFactory, Slt,
+        BDDKeyEncryptSk, BDDKeyPreparedFactory, ExecuteBDDCircuit2WTo1W, FheUint, FheUintBlockDebugPrepare, FheUintBlocksPrepare,
+        FheUintBlocksPreparedEncryptSk, FheUintBlocksPreparedFactory, FheUintPrepared, Slt,
         tests::test_suite::{TEST_GGSW_INFOS, TEST_GLWE_INFOS},
     },
     blind_rotation::{BlindRotationAlgo, BlindRotationKey, BlindRotationKeyFactory},
@@ -55,11 +55,9 @@ where
     let mut sk_glwe_prep: GLWESecretPrepared<Vec<u8>, BE> = GLWESecretPrepared::alloc_from_infos(&module, &glwe_infos);
     sk_glwe_prep.prepare(&module, &sk_glwe);
 
-    let mut res: FheUintBlocks<Vec<u8>, u32> = FheUintBlocks::<Vec<u8>, u32>::alloc_from_infos(&module, &glwe_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 res: FheUint<Vec<u8>, u32> = FheUint::<Vec<u8>, u32>::alloc_from_infos(&module, &glwe_infos);
+    let mut a_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<Vec<u8>, u32, BE>::alloc(&module, &ggsw_infos);
+    let mut b_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<Vec<u8>, u32, BE>::alloc(&module, &ggsw_infos);
 
     let a: u32 = source.next_u32();
     let b: u32 = source.next_u32();
diff --git a/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/sltu.rs b/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/sltu.rs
index 4ffc2b3..9f24d7d 100644
--- a/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/sltu.rs
+++ b/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/sltu.rs
@@ -11,8 +11,8 @@ use rand::RngCore;
 
 use crate::tfhe::{
     bdd_arithmetic::{
-        BDDKeyEncryptSk, BDDKeyPreparedFactory, ExecuteBDDCircuit2WTo1W, FheUintBlockDebugPrepare, FheUintBlocks,
-        FheUintBlocksPrepare, FheUintBlocksPrepared, FheUintBlocksPreparedEncryptSk, FheUintBlocksPreparedFactory, Sltu,
+        BDDKeyEncryptSk, BDDKeyPreparedFactory, ExecuteBDDCircuit2WTo1W, FheUint, FheUintBlockDebugPrepare, FheUintBlocksPrepare,
+        FheUintBlocksPreparedEncryptSk, FheUintBlocksPreparedFactory, FheUintPrepared, Sltu,
         tests::test_suite::{TEST_GGSW_INFOS, TEST_GLWE_INFOS},
     },
     blind_rotation::{BlindRotationAlgo, BlindRotationKey, BlindRotationKeyFactory},
@@ -55,11 +55,9 @@ where
     let mut sk_glwe_prep: GLWESecretPrepared<Vec<u8>, BE> = GLWESecretPrepared::alloc_from_infos(&module, &glwe_infos);
     sk_glwe_prep.prepare(&module, &sk_glwe);
 
-    let mut res: FheUintBlocks<Vec<u8>, u32> = FheUintBlocks::<Vec<u8>, u32>::alloc_from_infos(&module, &glwe_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 res: FheUint<Vec<u8>, u32> = FheUint::<Vec<u8>, u32>::alloc_from_infos(&module, &glwe_infos);
+    let mut a_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<Vec<u8>, u32, BE>::alloc(&module, &ggsw_infos);
+    let mut b_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<Vec<u8>, u32, BE>::alloc(&module, &ggsw_infos);
 
     let a: u32 = source.next_u32();
     let b: u32 = source.next_u32();
diff --git a/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/sra.rs b/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/sra.rs
index 554a57e..ee435eb 100644
--- a/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/sra.rs
+++ b/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/sra.rs
@@ -11,8 +11,8 @@ use rand::RngCore;
 
 use crate::tfhe::{
     bdd_arithmetic::{
-        BDDKeyEncryptSk, BDDKeyPreparedFactory, ExecuteBDDCircuit2WTo1W, FheUintBlockDebugPrepare, FheUintBlocks,
-        FheUintBlocksPrepare, FheUintBlocksPrepared, FheUintBlocksPreparedEncryptSk, FheUintBlocksPreparedFactory, Sra,
+        BDDKeyEncryptSk, BDDKeyPreparedFactory, ExecuteBDDCircuit2WTo1W, FheUint, FheUintBlockDebugPrepare, FheUintBlocksPrepare,
+        FheUintBlocksPreparedEncryptSk, FheUintBlocksPreparedFactory, FheUintPrepared, Sra,
         tests::test_suite::{TEST_GGSW_INFOS, TEST_GLWE_INFOS},
     },
     blind_rotation::{BlindRotationAlgo, BlindRotationKey, BlindRotationKeyFactory},
@@ -55,11 +55,9 @@ where
     let mut sk_glwe_prep: GLWESecretPrepared<Vec<u8>, BE> = GLWESecretPrepared::alloc_from_infos(&module, &glwe_infos);
     sk_glwe_prep.prepare(&module, &sk_glwe);
 
-    let mut res: FheUintBlocks<Vec<u8>, u32> = FheUintBlocks::<Vec<u8>, u32>::alloc_from_infos(&module, &glwe_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 res: FheUint<Vec<u8>, u32> = FheUint::<Vec<u8>, u32>::alloc_from_infos(&module, &glwe_infos);
+    let mut a_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<Vec<u8>, u32, BE>::alloc(&module, &ggsw_infos);
+    let mut b_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<Vec<u8>, u32, BE>::alloc(&module, &ggsw_infos);
 
     let a: u32 = source.next_u32();
     let b: u32 = source.next_u32() & 15;
diff --git a/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/srl.rs b/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/srl.rs
index b79ec56..9d50aad 100644
--- a/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/srl.rs
+++ b/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/srl.rs
@@ -11,8 +11,8 @@ use rand::RngCore;
 
 use crate::tfhe::{
     bdd_arithmetic::{
-        BDDKeyEncryptSk, BDDKeyPreparedFactory, ExecuteBDDCircuit2WTo1W, FheUintBlockDebugPrepare, FheUintBlocks,
-        FheUintBlocksPrepare, FheUintBlocksPrepared, FheUintBlocksPreparedEncryptSk, FheUintBlocksPreparedFactory, Srl,
+        BDDKeyEncryptSk, BDDKeyPreparedFactory, ExecuteBDDCircuit2WTo1W, FheUint, FheUintBlockDebugPrepare, FheUintBlocksPrepare,
+        FheUintBlocksPreparedEncryptSk, FheUintBlocksPreparedFactory, FheUintPrepared, Srl,
         tests::test_suite::{TEST_GGSW_INFOS, TEST_GLWE_INFOS},
     },
     blind_rotation::{BlindRotationAlgo, BlindRotationKey, BlindRotationKeyFactory},
@@ -55,11 +55,9 @@ where
     let mut sk_glwe_prep: GLWESecretPrepared<Vec<u8>, BE> = GLWESecretPrepared::alloc_from_infos(&module, &glwe_infos);
     sk_glwe_prep.prepare(&module, &sk_glwe);
 
-    let mut res: FheUintBlocks<Vec<u8>, u32> = FheUintBlocks::<Vec<u8>, u32>::alloc_from_infos(&module, &glwe_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 res: FheUint<Vec<u8>, u32> = FheUint::<Vec<u8>, u32>::alloc_from_infos(&module, &glwe_infos);
+    let mut a_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<Vec<u8>, u32, BE>::alloc(&module, &ggsw_infos);
+    let mut b_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<Vec<u8>, u32, BE>::alloc(&module, &ggsw_infos);
 
     let a: u32 = source.next_u32();
     let b: u32 = source.next_u32() & 15;
diff --git a/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/sub.rs b/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/sub.rs
index 159e414..56dc5e9 100644
--- a/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/sub.rs
+++ b/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/sub.rs
@@ -11,8 +11,8 @@ use rand::RngCore;
 
 use crate::tfhe::{
     bdd_arithmetic::{
-        BDDKeyEncryptSk, BDDKeyPreparedFactory, ExecuteBDDCircuit2WTo1W, FheUintBlockDebugPrepare, FheUintBlocks,
-        FheUintBlocksPrepare, FheUintBlocksPrepared, FheUintBlocksPreparedEncryptSk, FheUintBlocksPreparedFactory, Sub,
+        BDDKeyEncryptSk, BDDKeyPreparedFactory, ExecuteBDDCircuit2WTo1W, FheUint, FheUintBlockDebugPrepare, FheUintBlocksPrepare,
+        FheUintBlocksPreparedEncryptSk, FheUintBlocksPreparedFactory, FheUintPrepared, Sub,
         tests::test_suite::{TEST_GGSW_INFOS, TEST_GLWE_INFOS},
     },
     blind_rotation::{BlindRotationAlgo, BlindRotationKey, BlindRotationKeyFactory},
@@ -55,11 +55,9 @@ where
     let mut sk_glwe_prep: GLWESecretPrepared<Vec<u8>, BE> = GLWESecretPrepared::alloc_from_infos(&module, &glwe_infos);
     sk_glwe_prep.prepare(&module, &sk_glwe);
 
-    let mut res: FheUintBlocks<Vec<u8>, u32> = FheUintBlocks::<Vec<u8>, u32>::alloc_from_infos(&module, &glwe_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 res: FheUint<Vec<u8>, u32> = FheUint::<Vec<u8>, u32>::alloc_from_infos(&module, &glwe_infos);
+    let mut a_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<Vec<u8>, u32, BE>::alloc(&module, &ggsw_infos);
+    let mut b_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<Vec<u8>, u32, BE>::alloc(&module, &ggsw_infos);
 
     let a: u32 = source.next_u32();
     let b: u32 = source.next_u32();
diff --git a/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/xor.rs b/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/xor.rs
index 1f1f8ef..5c99736 100644
--- a/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/xor.rs
+++ b/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/xor.rs
@@ -11,8 +11,8 @@ use rand::RngCore;
 
 use crate::tfhe::{
     bdd_arithmetic::{
-        BDDKeyEncryptSk, BDDKeyPreparedFactory, ExecuteBDDCircuit2WTo1W, FheUintBlockDebugPrepare, FheUintBlocks,
-        FheUintBlocksPrepare, FheUintBlocksPrepared, FheUintBlocksPreparedEncryptSk, FheUintBlocksPreparedFactory, Xor,
+        BDDKeyEncryptSk, BDDKeyPreparedFactory, ExecuteBDDCircuit2WTo1W, FheUint, FheUintBlockDebugPrepare, FheUintBlocksPrepare,
+        FheUintBlocksPreparedEncryptSk, FheUintBlocksPreparedFactory, FheUintPrepared, Xor,
         tests::test_suite::{TEST_GGSW_INFOS, TEST_GLWE_INFOS},
     },
     blind_rotation::{BlindRotationAlgo, BlindRotationKey, BlindRotationKeyFactory},
@@ -55,11 +55,9 @@ where
     let mut sk_glwe_prep: GLWESecretPrepared<Vec<u8>, BE> = GLWESecretPrepared::alloc_from_infos(&module, &glwe_infos);
     sk_glwe_prep.prepare(&module, &sk_glwe);
 
-    let mut res: FheUintBlocks<Vec<u8>, u32> = FheUintBlocks::<Vec<u8>, u32>::alloc_from_infos(&module, &glwe_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 res: FheUint<Vec<u8>, u32> = FheUint::<Vec<u8>, u32>::alloc_from_infos(&module, &glwe_infos);
+    let mut a_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<Vec<u8>, u32, BE>::alloc(&module, &ggsw_infos);
+    let mut b_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<Vec<u8>, u32, BE>::alloc(&module, &ggsw_infos);
 
     let a: u32 = source.next_u32();
     let b: u32 = source.next_u32();