diff --git a/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/fhe_uint_prepared.rs b/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/fhe_uint_prepared.rs
index 3068581..c8036ea 100644
--- a/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/fhe_uint_prepared.rs
+++ b/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/fhe_uint_prepared.rs
@@ -85,7 +85,7 @@ where
 }
 
 impl<T: UnsignedInteger, BE: Backend> FheUintPrepared<Vec<u8>, T, BE> {
-    pub fn alloc<A, M>(module: &M, infos: &A) -> Self
+    pub fn alloc_from_infos<A, M>(module: &M, infos: &A) -> Self
     where
         A: GGSWInfos,
         M: FheUintBlocksPreparedFactory<T, BE>,
@@ -93,7 +93,7 @@ impl<T: UnsignedInteger, BE: Backend> FheUintPrepared<Vec<u8>, T, BE> {
         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
+    pub fn alloc<M>(module: &M, base2k: Base2K, k: TorusPrecision, dnum: Dnum, dsize: Dsize, rank: Rank) -> Self
     where
         M: FheUintBlocksPreparedFactory<T, BE>,
     {
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 beff7fd..cd709d9 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
@@ -51,8 +51,8 @@ where
     let mut scratch: ScratchOwned<BE> = ScratchOwned::alloc(1 << 22);
 
     let mut res: FheUint<Vec<u8>, u32> = FheUint::<Vec<u8>, u32>::alloc_from_infos(&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 mut a_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<Vec<u8>, u32, BE>::alloc_from_infos(module, &ggsw_infos);
+    let mut b_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<Vec<u8>, u32, BE>::alloc_from_infos(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 5bb8ffc..0acd1a5 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
@@ -51,8 +51,8 @@ where
     let mut scratch: ScratchOwned<BE> = ScratchOwned::alloc(1 << 22);
 
     let mut res: FheUint<Vec<u8>, u32> = FheUint::<Vec<u8>, u32>::alloc_from_infos(&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 mut a_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<Vec<u8>, u32, BE>::alloc_from_infos(module, &ggsw_infos);
+    let mut b_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<Vec<u8>, u32, BE>::alloc_from_infos(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 5f7ae02..3f8effc 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
@@ -78,7 +78,7 @@ where
 
     // println!("k: {k}");
 
-    let mut k_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<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_from_infos(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 c7d503f..6bb4553 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
@@ -71,7 +71,7 @@ where
 
     let k: u32 = source.next_u32();
 
-    let mut k_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<Vec<u8>, u32, BE>::alloc(module, &ggsw_infos);
+    let mut k_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<Vec<u8>, u32, BE>::alloc_from_infos(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 e76cc2f..b7be001 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
@@ -51,8 +51,8 @@ where
     let mut scratch: ScratchOwned<BE> = ScratchOwned::alloc(1 << 22);
 
     let mut res: FheUint<Vec<u8>, u32> = FheUint::<Vec<u8>, u32>::alloc_from_infos(&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 mut a_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<Vec<u8>, u32, BE>::alloc_from_infos(module, &ggsw_infos);
+    let mut b_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<Vec<u8>, u32, BE>::alloc_from_infos(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/sll.rs b/poulpy-schemes/src/tfhe/bdd_arithmetic/tests/test_suite/sll.rs
index 951d55c..b947cf5 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
@@ -51,8 +51,8 @@ where
     let mut scratch: ScratchOwned<BE> = ScratchOwned::alloc(1 << 22);
 
     let mut res: FheUint<Vec<u8>, u32> = FheUint::<Vec<u8>, u32>::alloc_from_infos(&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 mut a_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<Vec<u8>, u32, BE>::alloc_from_infos(module, &ggsw_infos);
+    let mut b_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<Vec<u8>, u32, BE>::alloc_from_infos(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 3abcb26..13d9170 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
@@ -51,8 +51,8 @@ where
     let mut scratch: ScratchOwned<BE> = ScratchOwned::alloc(1 << 22);
 
     let mut res: FheUint<Vec<u8>, u32> = FheUint::<Vec<u8>, u32>::alloc_from_infos(&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 mut a_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<Vec<u8>, u32, BE>::alloc_from_infos(module, &ggsw_infos);
+    let mut b_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<Vec<u8>, u32, BE>::alloc_from_infos(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 b7e7cf3..908ad4a 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
@@ -51,8 +51,8 @@ where
     let mut scratch: ScratchOwned<BE> = ScratchOwned::alloc(1 << 22);
 
     let mut res: FheUint<Vec<u8>, u32> = FheUint::<Vec<u8>, u32>::alloc_from_infos(&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 mut a_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<Vec<u8>, u32, BE>::alloc_from_infos(module, &ggsw_infos);
+    let mut b_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<Vec<u8>, u32, BE>::alloc_from_infos(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 6d50bec..a1c04a7 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
@@ -51,8 +51,8 @@ where
     let mut scratch: ScratchOwned<BE> = ScratchOwned::alloc(1 << 22);
 
     let mut res: FheUint<Vec<u8>, u32> = FheUint::<Vec<u8>, u32>::alloc_from_infos(&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 mut a_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<Vec<u8>, u32, BE>::alloc_from_infos(module, &ggsw_infos);
+    let mut b_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<Vec<u8>, u32, BE>::alloc_from_infos(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 0ddcad8..23a6bb1 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
@@ -51,8 +51,8 @@ where
     let mut scratch: ScratchOwned<BE> = ScratchOwned::alloc(1 << 22);
 
     let mut res: FheUint<Vec<u8>, u32> = FheUint::<Vec<u8>, u32>::alloc_from_infos(&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 mut a_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<Vec<u8>, u32, BE>::alloc_from_infos(module, &ggsw_infos);
+    let mut b_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<Vec<u8>, u32, BE>::alloc_from_infos(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 1b96d9f..a7174b7 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
@@ -51,8 +51,8 @@ where
     let mut scratch: ScratchOwned<BE> = ScratchOwned::alloc(1 << 22);
 
     let mut res: FheUint<Vec<u8>, u32> = FheUint::<Vec<u8>, u32>::alloc_from_infos(&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 mut a_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<Vec<u8>, u32, BE>::alloc_from_infos(module, &ggsw_infos);
+    let mut b_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<Vec<u8>, u32, BE>::alloc_from_infos(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 82a0854..c9cd937 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
@@ -51,8 +51,8 @@ where
     let mut scratch: ScratchOwned<BE> = ScratchOwned::alloc(1 << 22);
 
     let mut res: FheUint<Vec<u8>, u32> = FheUint::<Vec<u8>, u32>::alloc_from_infos(&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 mut a_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<Vec<u8>, u32, BE>::alloc_from_infos(module, &ggsw_infos);
+    let mut b_enc_prep: FheUintPrepared<Vec<u8>, u32, BE> = FheUintPrepared::<Vec<u8>, u32, BE>::alloc_from_infos(module, &ggsw_infos);
 
     let a: u32 = source.next_u32();
     let b: u32 = source.next_u32();