diff --git a/poulpy-schemes/src/tfhe/bdd_arithmetic/blind_rotation.rs b/poulpy-schemes/src/tfhe/bdd_arithmetic/blind_rotation.rs
index 77c2155..b50329c 100644
--- a/poulpy-schemes/src/tfhe/bdd_arithmetic/blind_rotation.rs
+++ b/poulpy-schemes/src/tfhe/bdd_arithmetic/blind_rotation.rs
@@ -25,16 +25,49 @@ where
         R: GLWEInfos,
         K: GGSWInfos,
     {
-        self.glwe_to_glwe_blind_rotation_tmp_bytes(res_infos, k_infos)
+        self.glwe_blind_rotation_tmp_bytes(res_infos, k_infos)
+    }
+
+    #[allow(clippy::too_many_arguments)]
+    /// res <- res * X^{((k>>bit_rsh) % 2^bit_mask) << bit_lsh}.
+    fn ggsw_blind_rotation_inplace<R, K>(
+        &self,
+        res: &mut R,
+        fhe_uint: &K,
+        sign: bool,
+        bit_rsh: usize,
+        bit_mask: usize,
+        bit_lsh: usize,
+        scratch: &mut Scratch<BE>,
+    ) where
+        R: GGSWToMut,
+        K: GetGGSWBit<BE>,
+        Scratch<BE>: ScratchTakeCore<BE>,
+    {
+        let res: &mut GGSW<&mut [u8]> = &mut res.to_mut();
+
+        for col in 0..(res.rank() + 1).into() {
+            for row in 0..res.dnum().into() {
+                self.glwe_blind_rotation_inplace(
+                    &mut res.at_mut(row, col),
+                    fhe_uint,
+                    sign,
+                    bit_rsh,
+                    bit_mask,
+                    bit_lsh,
+                    scratch,
+                );
+            }
+        }
     }
 
     #[allow(clippy::too_many_arguments)]
     /// res <- a * X^{((k>>bit_rsh) % 2^bit_mask) << bit_lsh}.
-    fn ggsw_to_ggsw_blind_rotation<R, A, K>(
+    fn ggsw_blind_rotation<R, A, K>(
         &self,
         res: &mut R,
         a: &A,
-        k: &K,
+        fhe_uint: &K,
         sign: bool,
         bit_rsh: usize,
         bit_mask: usize,
@@ -54,10 +87,10 @@ where
 
         for col in 0..(res.rank() + 1).into() {
             for row in 0..res.dnum().into() {
-                self.glwe_to_glwe_blind_rotation(
+                self.glwe_blind_rotation(
                     &mut res.at_mut(row, col),
                     &a.at(row, col),
-                    k,
+                    fhe_uint,
                     sign,
                     bit_rsh,
                     bit_mask,
@@ -73,7 +106,7 @@ where
         R: GLWEInfos,
         K: GGSWInfos,
     {
-        self.glwe_to_glwe_blind_rotation_tmp_bytes(res_infos, k_infos) + GLWE::bytes_of_from_infos(res_infos)
+        self.glwe_blind_rotation_tmp_bytes(res_infos, k_infos) + GLWE::bytes_of_from_infos(res_infos)
     }
 
     #[allow(clippy::too_many_arguments)]
@@ -81,7 +114,7 @@ where
         &self,
         res: &mut R,
         test_vector: &S,
-        k: &K,
+        fhe_uint: &K,
         sign: bool,
         bit_rsh: usize,
         bit_mask: usize,
@@ -113,10 +146,10 @@ where
                 );
                 self.vec_znx_normalize_inplace(base2k, tmp_glwe.data_mut(), col, scratch_1);
 
-                self.glwe_to_glwe_blind_rotation(
+                self.glwe_blind_rotation(
                     &mut res.at_mut(row, col),
                     &tmp_glwe,
-                    k,
+                    fhe_uint,
                     sign,
                     bit_rsh,
                     bit_mask,
@@ -139,7 +172,7 @@ pub trait GLWEBlindRotation<T: UnsignedInteger, BE: Backend>
 where
     Self: GLWECopy + GLWERotate<BE> + Cmux<BE>,
 {
-    fn glwe_to_glwe_blind_rotation_tmp_bytes<R, K>(&self, res_infos: &R, k_infos: &K) -> usize
+    fn glwe_blind_rotation_tmp_bytes<R, K>(&self, res_infos: &R, k_infos: &K) -> usize
     where
         R: GLWEInfos,
         K: GGSWInfos,
@@ -148,12 +181,10 @@ where
     }
 
     #[allow(clippy::too_many_arguments)]
-    /// res <- a * X^{sign * ((k>>bit_rsh) % 2^bit_mask) << bit_lsh}.
-    fn glwe_to_glwe_blind_rotation<R, A, K>(
+    fn glwe_blind_rotation_inplace<R, K>(
         &self,
         res: &mut R,
-        a: &A,
-        k: &K,
+        fhe_uint: &K,
         sign: bool,
         bit_rsh: usize,
         bit_mask: usize,
@@ -161,31 +192,20 @@ where
         scratch: &mut Scratch<BE>,
     ) where
         R: GLWEToMut,
-        A: GLWEToRef,
         K: GetGGSWBit<BE>,
         Scratch<BE>: ScratchTakeCore<BE>,
     {
         assert!(bit_rsh + bit_mask <= T::WORD_SIZE);
 
         let mut res: GLWE<&mut [u8]> = res.to_mut();
-        let a: &GLWE<&[u8]> = &a.to_ref();
 
         let (mut tmp_res, scratch_1) = scratch.take_glwe(&res);
 
-        // a <- a ; b <- a * X^{-2^{i + bit_lsh}}
-        match sign {
-            true => self.glwe_rotate(1 << bit_lsh, &mut res, a),
-            false => self.glwe_rotate(-1 << bit_lsh, &mut res, a),
-        }
-
-        // b <- (b - a) * GGSW(b[i]) + a
-        self.cmux_inplace(&mut res, a, &k.get_bit(bit_rsh), scratch_1);
-
         // a_is_res = true  => (a, b) = (&mut res, &mut tmp_res)
         // a_is_res = false => (a, b) = (&mut tmp_res, &mut res)
         let mut a_is_res: bool = true;
 
-        for i in 1..bit_mask {
+        for i in 0..bit_mask {
             let (a, b) = if a_is_res {
                 (&mut res, &mut tmp_res)
             } else {
@@ -199,7 +219,7 @@ where
             }
 
             // b <- (b - a) * GGSW(b[i]) + a
-            self.cmux_inplace(b, a, &k.get_bit(i + bit_rsh), scratch_1);
+            self.cmux_inplace(b, a, &fhe_uint.get_bit(i + bit_rsh), scratch_1);
 
             // ping-pong roles for next iter
             a_is_res = !a_is_res;
@@ -210,4 +230,26 @@ where
             self.glwe_copy(&mut res, &tmp_res);
         }
     }
+
+    #[allow(clippy::too_many_arguments)]
+    /// res <- a * X^{sign * ((k>>bit_rsh) % 2^bit_mask) << bit_lsh}.
+    fn glwe_blind_rotation<R, A, K>(
+        &self,
+        res: &mut R,
+        a: &A,
+        fhe_uint: &K,
+        sign: bool,
+        bit_rsh: usize,
+        bit_mask: usize,
+        bit_lsh: usize,
+        scratch: &mut Scratch<BE>,
+    ) where
+        R: GLWEToMut,
+        A: GLWEToRef,
+        K: GetGGSWBit<BE>,
+        Scratch<BE>: ScratchTakeCore<BE>,
+    {
+        self.glwe_copy(res, a);
+        self.glwe_blind_rotation_inplace(res, fhe_uint, sign, bit_rsh, bit_mask, bit_lsh, scratch);
+    }
 }
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 6448e4a..78a03de 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
@@ -101,7 +101,7 @@ where
             // How many bits to take
             let bit_size: usize = (32 - bit_start).min(digit);
 
-            module.glwe_to_glwe_blind_rotation(
+            module.glwe_blind_rotation(
                 &mut res,
                 &test_glwe,
                 &k_enc_prep,