diff --git a/backend/src/mat_znx_dft_ops.rs b/backend/src/mat_znx_dft_ops.rs
index 9ed71a0..5f08a89 100644
--- a/backend/src/mat_znx_dft_ops.rs
+++ b/backend/src/mat_znx_dft_ops.rs
@@ -3,7 +3,7 @@ use crate::ffi::vmp;
 use crate::znx_base::{ZnxInfos, ZnxView, ZnxViewMut};
 use crate::{
     Backend, FFT64, MatZnxDft, MatZnxDftOwned, MatZnxToMut, MatZnxToRef, Module, ScalarZnxAlloc, ScalarZnxDftAlloc,
-    ScalarZnxDftOps, Scratch, VecZnxDft, VecZnxDftAlloc, VecZnxDftOps, VecZnxDftToMut, VecZnxDftToRef, VecZnxOps, ZnxZero,
+    ScalarZnxDftOps, Scratch, VecZnxDft, VecZnxDftAlloc, VecZnxDftOps, VecZnxDftToMut, VecZnxDftToRef, VecZnxOps,
 };
 
 pub trait MatZnxDftAlloc<B: Backend> {
diff --git a/backend/src/scalar_znx.rs b/backend/src/scalar_znx.rs
index cb51e0d..4c45f36 100644
--- a/backend/src/scalar_znx.rs
+++ b/backend/src/scalar_znx.rs
@@ -72,6 +72,31 @@ impl<D: AsMut<[u8]> + AsRef<[u8]>> ScalarZnx<D> {
             .for_each(|x: &mut i64| *x = (((source.next_u32() & 1) as i64) << 1) - 1);
         self.at_mut(col, 0).shuffle(source);
     }
+
+    pub fn fill_binary_prob(&mut self, col: usize, prob: f64, source: &mut Source) {
+        let choices: [i64; 2] = [0, 1];
+        let weights: [f64; 2] = [1.0 - prob, prob];
+        let dist: WeightedIndex<f64> = WeightedIndex::new(&weights).unwrap();
+        self.at_mut(col, 0)
+            .iter_mut()
+            .for_each(|x: &mut i64| *x = choices[dist.sample(source)]);
+    }
+
+    pub fn fill_binary_hw(&mut self, col: usize, hw: usize, source: &mut Source) {
+        assert!(hw <= self.n());
+        self.at_mut(col, 0)[..hw]
+            .iter_mut()
+            .for_each(|x: &mut i64| *x = (source.next_u32() & 1) as i64);
+        self.at_mut(col, 0).shuffle(source);
+    }
+
+    pub fn fill_binary_block(&mut self, col: usize, block_size: usize, source: &mut Source) {
+        assert!(self.n() % block_size == 0);
+        for chunk in self.at_mut(col, 0).chunks_mut(block_size) {
+            chunk[0] = 1;
+            chunk.shuffle(source);
+        }
+    }
 }
 
 impl<D: From<Vec<u8>>> ScalarZnx<D> {
diff --git a/core/src/glwe_ciphertext.rs b/core/src/glwe_ciphertext.rs
index 28c1724..cd85f0c 100644
--- a/core/src/glwe_ciphertext.rs
+++ b/core/src/glwe_ciphertext.rs
@@ -763,6 +763,9 @@ impl<DataSelf: AsRef<[u8]> + AsMut<[u8]>> GLWECiphertext<DataSelf> {
                 ),
                 SecretDistribution::TernaryFixed(hw) => u.fill_ternary_hw(0, hw, source_xu),
                 SecretDistribution::TernaryProb(prob) => u.fill_ternary_prob(0, prob, source_xu),
+                SecretDistribution::BinaryFixed(hw) => u.fill_binary_hw(0, hw, source_xu),
+                SecretDistribution::BinaryProb(prob) => u.fill_binary_prob(0, prob, source_xu),
+                SecretDistribution::BinaryBlock(block_size) => u.fill_binary_block(0, block_size, source_xu),
                 SecretDistribution::ZERO => {}
             }
 
diff --git a/core/src/glwe_keys.rs b/core/src/glwe_keys.rs
index 8f04408..be8aa43 100644
--- a/core/src/glwe_keys.rs
+++ b/core/src/glwe_keys.rs
@@ -10,8 +10,11 @@ use crate::{GLWECiphertextFourier, Infos};
 pub(crate) enum SecretDistribution {
     TernaryFixed(usize), // Ternary with fixed Hamming weight
     TernaryProb(f64),    // Ternary with probabilistic Hamming weight
+    BinaryFixed(usize),  // Binary with fixed Hamming weight
+    BinaryProb(f64),     // Binary with probabilistic Hamming weight
+    BinaryBlock(usize),  // Binary split in block of size 2^k
     ZERO,                // Debug mod
-    NONE,
+    NONE,                // Unitialized
 }
 
 pub struct GLWESecret<T, B: Backend> {
@@ -65,6 +68,30 @@ impl<S: AsMut<[u8]> + AsRef<[u8]>> GLWESecret<S, FFT64> {
         self.dist = SecretDistribution::TernaryFixed(hw);
     }
 
+    pub fn fill_binary_prob(&mut self, module: &Module<FFT64>, prob: f64, source: &mut Source) {
+        (0..self.rank()).for_each(|i| {
+            self.data.fill_binary_prob(i, prob, source);
+        });
+        self.prep_fourier(module);
+        self.dist = SecretDistribution::BinaryProb(prob);
+    }
+
+    pub fn fill_binary_hw(&mut self, module: &Module<FFT64>, hw: usize, source: &mut Source) {
+        (0..self.rank()).for_each(|i| {
+            self.data.fill_binary_hw(i, hw, source);
+        });
+        self.prep_fourier(module);
+        self.dist = SecretDistribution::BinaryFixed(hw);
+    }
+
+    pub fn fill_binary_block(&mut self, module: &Module<FFT64>, block_size: usize, source: &mut Source) {
+        (0..self.rank()).for_each(|i| {
+            self.data.fill_binary_block(i, block_size, source);
+        });
+        self.prep_fourier(module);
+        self.dist = SecretDistribution::BinaryBlock(block_size);
+    }
+
     pub fn fill_zero(&mut self) {
         self.data.zero();
         self.dist = SecretDistribution::ZERO;