diff --git a/rlwe/src/elem_rgsw.rs b/rlwe/src/elem_rgsw.rs
index eab378a..75f468f 100644
--- a/rlwe/src/elem_rgsw.rs
+++ b/rlwe/src/elem_rgsw.rs
@@ -1,12 +1,14 @@
 use base2k::{
-    Backend, FFT64, MatZnxDft, MatZnxDftAlloc, MatZnxDftOps, MatZnxDftToMut, MatZnxDftToRef, Module, ScalarZnx, ScalarZnxDft,
-    ScalarZnxDftToRef, ScalarZnxToRef, Scratch, VecZnxAlloc, VecZnxDft, VecZnxDftAlloc, VecZnxDftOps, VecZnxDftToMut, VecZnxOps,
+    Backend, FFT64, MatZnxDft, MatZnxDftAlloc, MatZnxDftOps, MatZnxDftScratch, MatZnxDftToMut, MatZnxDftToRef, Module, ScalarZnx,
+    ScalarZnxDft, ScalarZnxDftToRef, ScalarZnxToRef, Scratch, VecZnx, VecZnxAlloc, VecZnxBig, VecZnxBigOps, VecZnxBigScratch,
+    VecZnxDft, VecZnxDftAlloc, VecZnxDftOps, VecZnxDftToMut, VecZnxDftToRef, VecZnxOps, VecZnxToMut, VecZnxToRef, ZnxInfos,
     ZnxZero,
 };
 use sampling::source::Source;
 
 use crate::{
     elem::Infos,
+    elem_grlwe::GRLWECt,
     elem_rlwe::{RLWECt, RLWECtDft, RLWEPt, encrypt_rlwe_sk},
     keys::SecretKeyDft,
     utils::derive_size,
@@ -69,20 +71,42 @@ impl RGSWCt<Vec<u8>, FFT64> {
             + module.bytes_of_vec_znx(1, size)
             + module.bytes_of_vec_znx_dft(2, size)
     }
+
+    pub fn mul_rlwe_scratch_space(module: &Module<FFT64>, res_size: usize, a_size: usize, rgsw_size: usize) -> usize {
+        module.bytes_of_vec_znx_dft(2, rgsw_size)
+            + ((module.bytes_of_vec_znx_dft(2, a_size) + module.vmp_apply_tmp_bytes(res_size, a_size, a_size, 2, 2, rgsw_size))
+                | module.vec_znx_big_normalize_tmp_bytes())
+    }
+
+    pub fn mul_rlwe_inplace_scratch_space(module: &Module<FFT64>, res_size: usize, rgsw_size: usize) -> usize {
+        Self::mul_rlwe_scratch_space(module, res_size, res_size, rgsw_size)
+    }
 }
 
 impl<C> RGSWCt<C, FFT64>
 where
     MatZnxDft<C, FFT64>: MatZnxDftToRef<FFT64>,
 {
-    pub fn get_row(&self, module: &Module<FFT64>, row_i: usize, col_j: usize, res: &mut RLWECtDft<C, FFT64>)
+    pub fn get_row<R>(&self, module: &Module<FFT64>, row_i: usize, col_j: usize, res: &mut RLWECtDft<R, FFT64>)
     where
-        VecZnxDft<C, FFT64>: VecZnxDftToMut<FFT64>,
+        VecZnxDft<R, FFT64>: VecZnxDftToMut<FFT64>,
     {
         module.vmp_extract_row(res, self, row_i, col_j);
     }
 }
 
+impl<C> RGSWCt<C, FFT64>
+where
+    MatZnxDft<C, FFT64>: MatZnxDftToMut<FFT64>,
+{
+    pub fn set_row<R>(&mut self, module: &Module<FFT64>, row_i: usize, col_j: usize, a: &RLWECtDft<R, FFT64>)
+    where
+        VecZnxDft<R, FFT64>: VecZnxDftToRef<FFT64>,
+    {
+        module.vmp_prepare_row(self, row_i, col_j, a);
+    }
+}
+
 pub fn encrypt_rgsw_sk<C, P, S>(
     module: &Module<FFT64>,
     ct: &mut RGSWCt<C, FFT64>,
@@ -168,4 +192,237 @@ impl<C> RGSWCt<C, FFT64> {
             module, self, pt, sk_dft, source_xa, source_xe, sigma, bound, scratch,
         )
     }
+
+    pub fn mul_rlwe<R, A>(&self, module: &Module<FFT64>, res: &mut RLWECt<R>, a: &RLWECt<A>, scratch: &mut Scratch)
+    where
+        MatZnxDft<C, FFT64>: MatZnxDftToRef<FFT64>,
+        VecZnx<R>: VecZnxToMut,
+        VecZnx<A>: VecZnxToRef,
+    {
+        let log_base2k: usize = self.log_base2k();
+
+        #[cfg(debug_assertions)]
+        {
+            assert_eq!(res.log_base2k(), log_base2k);
+            assert_eq!(a.log_base2k(), log_base2k);
+            assert_eq!(self.n(), module.n());
+            assert_eq!(res.n(), module.n());
+            assert_eq!(a.n(), module.n());
+        }
+
+        let (mut res_dft, scratch1) = scratch.tmp_vec_znx_dft(module, 2, self.size()); // Todo optimise
+
+        {
+            let (mut a_dft, scratch2) = scratch1.tmp_vec_znx_dft(module, 2, a.size());
+            module.vec_znx_dft(&mut a_dft, 0, a, 0);
+            module.vec_znx_dft(&mut a_dft, 1, a, 1);
+            module.vmp_apply(&mut res_dft, &a_dft, self, scratch2);
+        }
+
+        let res_big: VecZnxBig<&mut [u8], FFT64> = module.vec_znx_idft_consume(res_dft);
+
+        module.vec_znx_big_normalize(log_base2k, res, 0, &res_big, 0, scratch1);
+        module.vec_znx_big_normalize(log_base2k, res, 1, &res_big, 1, scratch1);
+    }
+
+    pub fn mul_rlwe_inplace<R>(&self, module: &Module<FFT64>, res: &mut RLWECt<R>, scratch: &mut Scratch)
+    where
+        MatZnxDft<C, FFT64>: MatZnxDftToRef<FFT64> + ZnxInfos,
+        VecZnx<R>: VecZnxToMut + VecZnxToRef,
+    {
+        unsafe {
+            let res_ptr: *mut RLWECt<R> = res as *mut RLWECt<R>; // This is ok because [Self::mul_rlwe] only updates res at the end.
+            self.mul_rlwe(&module, &mut *res_ptr, &*res_ptr, scratch);
+        }
+    }
+
+    pub fn mul_rlwe_dft<R, A>(
+        &self,
+        module: &Module<FFT64>,
+        res: &mut RLWECtDft<R, FFT64>,
+        a: &RLWECtDft<A, FFT64>,
+        scratch: &mut Scratch,
+    ) where
+        MatZnxDft<C, FFT64>: MatZnxDftToRef<FFT64> + ZnxInfos,
+        VecZnxDft<R, FFT64>: VecZnxDftToMut<FFT64> + VecZnxDftToRef<FFT64> + ZnxInfos,
+        VecZnxDft<A, FFT64>: VecZnxDftToRef<FFT64> + ZnxInfos,
+    {
+        let log_base2k: usize = self.log_base2k();
+
+        #[cfg(debug_assertions)]
+        {
+            assert_eq!(res.log_base2k(), log_base2k);
+            assert_eq!(self.n(), module.n());
+            assert_eq!(res.n(), module.n());
+        }
+
+        let (a_data, scratch_1) = scratch.tmp_vec_znx(module, 2, a.size());
+
+        let mut a_idft: RLWECt<&mut [u8]> = RLWECt::<&mut [u8]> {
+            data: a_data,
+            log_base2k: a.log_base2k(),
+            log_k: a.log_k(),
+        };
+
+        a.idft(module, &mut a_idft, scratch_1);
+
+        let (res_data, scratch_2) = scratch_1.tmp_vec_znx(module, 2, res.size());
+
+        let mut res_idft: RLWECt<&mut [u8]> = RLWECt::<&mut [u8]> {
+            data: res_data,
+            log_base2k: res.log_base2k(),
+            log_k: res.log_k(),
+        };
+
+        self.mul_rlwe(module, &mut res_idft, &a_idft, scratch_2);
+
+        module.vec_znx_dft(res, 0, &res_idft, 0);
+        module.vec_znx_dft(res, 1, &res_idft, 1);
+    }
+
+    pub fn mul_rlwe_dft_inplace<R>(&self, module: &Module<FFT64>, res: &mut RLWECtDft<R, FFT64>, scratch: &mut Scratch)
+    where
+        MatZnxDft<C, FFT64>: MatZnxDftToRef<FFT64> + ZnxInfos,
+        VecZnxDft<R, FFT64>: VecZnxDftToMut<FFT64> + VecZnxDftToRef<FFT64> + ZnxInfos,
+    {
+        let log_base2k: usize = self.log_base2k();
+
+        #[cfg(debug_assertions)]
+        {
+            assert_eq!(res.log_base2k(), log_base2k);
+            assert_eq!(self.n(), module.n());
+            assert_eq!(res.n(), module.n());
+        }
+
+        let (res_data, scratch_1) = scratch.tmp_vec_znx(module, 2, res.size());
+
+        let mut res_idft: RLWECt<&mut [u8]> = RLWECt::<&mut [u8]> {
+            data: res_data,
+            log_base2k: res.log_base2k(),
+            log_k: res.log_k(),
+        };
+
+        res.idft(module, &mut res_idft, scratch_1);
+
+        self.mul_rlwe_inplace(module, &mut res_idft, scratch_1);
+
+        module.vec_znx_dft(res, 0, &res_idft, 0);
+        module.vec_znx_dft(res, 1, &res_idft, 1);
+    }
+
+    pub fn mul_grlwe<R, A>(
+        &self,
+        module: &Module<FFT64>,
+        res: &mut GRLWECt<R, FFT64>,
+        a: &GRLWECt<A, FFT64>,
+        scratch: &mut Scratch,
+    ) where
+        MatZnxDft<C, FFT64>: MatZnxDftToRef<FFT64> + ZnxInfos,
+        MatZnxDft<R, FFT64>: MatZnxDftToMut<FFT64> + MatZnxDftToRef<FFT64> + ZnxInfos,
+        MatZnxDft<A, FFT64>: MatZnxDftToRef<FFT64> + ZnxInfos,
+    {
+        let (tmp_row_data, scratch1) = scratch.tmp_vec_znx_dft(module, 2, a.size());
+
+        let mut tmp_row: RLWECtDft<&mut [u8], FFT64> = RLWECtDft::<&mut [u8], FFT64> {
+            data: tmp_row_data,
+            log_base2k: a.log_base2k(),
+            log_k: a.log_k(),
+        };
+
+        let min_rows: usize = res.rows().min(a.rows());
+
+        (0..min_rows).for_each(|row_i| {
+            a.get_row(module, row_i, &mut tmp_row);
+            self.mul_rlwe_dft_inplace(module, &mut tmp_row, scratch1);
+            res.set_row(module, row_i, &tmp_row);
+        });
+
+        tmp_row.data.zero();
+
+        (min_rows..res.rows()).for_each(|row_i| {
+            res.set_row(module, row_i, &tmp_row);
+        })
+    }
+
+    pub fn mul_grlwe_inplace<R>(&self, module: &Module<FFT64>, res: &mut GRLWECt<R, FFT64>, scratch: &mut Scratch)
+    where
+        MatZnxDft<C, FFT64>: MatZnxDftToRef<FFT64> + ZnxInfos,
+        MatZnxDft<R, FFT64>: MatZnxDftToMut<FFT64> + MatZnxDftToRef<FFT64> + ZnxInfos,
+    {
+        let (tmp_row_data, scratch1) = scratch.tmp_vec_znx_dft(module, 2, res.size());
+
+        let mut tmp_row: RLWECtDft<&mut [u8], FFT64> = RLWECtDft::<&mut [u8], FFT64> {
+            data: tmp_row_data,
+            log_base2k: res.log_base2k(),
+            log_k: res.log_k(),
+        };
+
+        (0..res.rows()).for_each(|row_i| {
+            res.get_row(module, row_i, &mut tmp_row);
+            self.mul_rlwe_dft_inplace(module, &mut tmp_row, scratch1);
+            res.set_row(module, row_i, &tmp_row);
+        });
+    }
+
+    pub fn mul_rgsw<R, A>(&self, module: &Module<FFT64>, res: &mut RGSWCt<R, FFT64>, a: &RGSWCt<A, FFT64>, scratch: &mut Scratch)
+    where
+        MatZnxDft<C, FFT64>: MatZnxDftToRef<FFT64> + ZnxInfos,
+        MatZnxDft<R, FFT64>: MatZnxDftToMut<FFT64> + MatZnxDftToRef<FFT64> + ZnxInfos,
+        MatZnxDft<A, FFT64>: MatZnxDftToRef<FFT64> + ZnxInfos,
+    {
+        let (tmp_row_data, scratch1) = scratch.tmp_vec_znx_dft(module, 2, a.size());
+
+        let mut tmp_row: RLWECtDft<&mut [u8], FFT64> = RLWECtDft::<&mut [u8], FFT64> {
+            data: tmp_row_data,
+            log_base2k: a.log_base2k(),
+            log_k: a.log_k(),
+        };
+
+        let min_rows: usize = res.rows().min(a.rows());
+
+        (0..min_rows).for_each(|row_i| {
+            a.get_row(module, row_i, 0, &mut tmp_row);
+            self.mul_rlwe_dft_inplace(module, &mut tmp_row, scratch1);
+            res.set_row(module, row_i, 0, &tmp_row);
+        });
+
+        (0..min_rows).for_each(|row_i| {
+            a.get_row(module, row_i, 1, &mut tmp_row);
+            self.mul_rlwe_dft_inplace(module, &mut tmp_row, scratch1);
+            res.set_row(module, row_i, 1, &tmp_row);
+        });
+
+        tmp_row.data.zero();
+
+        (min_rows..res.rows()).for_each(|row_i| {
+            res.set_row(module, row_i, 0, &tmp_row);
+            res.set_row(module, row_i, 1, &tmp_row);
+        })
+    }
+
+    pub fn mul_rgsw_inplace<R>(&self, module: &Module<FFT64>, res: &mut RGSWCt<R, FFT64>, scratch: &mut Scratch)
+    where
+        MatZnxDft<C, FFT64>: MatZnxDftToRef<FFT64> + ZnxInfos,
+        MatZnxDft<R, FFT64>: MatZnxDftToMut<FFT64> + MatZnxDftToRef<FFT64> + ZnxInfos,
+    {
+        let (tmp_row_data, scratch1) = scratch.tmp_vec_znx_dft(module, 2, res.size());
+
+        let mut tmp_row: RLWECtDft<&mut [u8], FFT64> = RLWECtDft::<&mut [u8], FFT64> {
+            data: tmp_row_data,
+            log_base2k: res.log_base2k(),
+            log_k: res.log_k(),
+        };
+
+        (0..res.rows()).for_each(|row_i| {
+            res.get_row(module, row_i, 0, &mut tmp_row);
+            self.mul_rlwe_dft_inplace(module, &mut tmp_row, scratch1);
+            res.set_row(module, row_i, 0, &tmp_row);
+        });
+
+        (0..res.rows()).for_each(|row_i| {
+            res.get_row(module, row_i, 1, &mut tmp_row);
+            self.mul_rlwe_dft_inplace(module, &mut tmp_row, scratch1);
+            res.set_row(module, row_i, 1, &tmp_row);
+        });
+    }
 }