diff --git a/poulpy-core/examples/encryption.rs b/poulpy-core/examples/encryption.rs
index 5ee8c8e..e933fde 100644
--- a/poulpy-core/examples/encryption.rs
+++ b/poulpy-core/examples/encryption.rs
@@ -85,7 +85,7 @@ fn main() {
     module.glwe_sub_inplace(&mut pt_want, &pt_have);
 
     // Ideal vs. actual noise
-    let noise_have: f64 = pt_want.data.std(base2k.into(), 0) * (ct.k().as_u32() as f64).exp2();
+    let noise_have: f64 = pt_want.data.stats(base2k.into(), 0).std() * (ct.k().as_u32() as f64).exp2();
     let noise_want: f64 = SIGMA;
 
     // Check
diff --git a/poulpy-core/src/noise/gglwe.rs b/poulpy-core/src/noise/gglwe.rs
index c6dd278..8831517 100644
--- a/poulpy-core/src/noise/gglwe.rs
+++ b/poulpy-core/src/noise/gglwe.rs
@@ -60,7 +60,7 @@ where
 
                 self.vec_znx_sub_scalar_inplace(&mut pt.data, 0, (dsize - 1) + row_i * dsize, pt_want, col_i);
 
-                let noise_have: f64 = pt.data.std(base2k, 0).log2();
+                let noise_have: f64 = pt.data.stats(base2k, 0).std().log2();
 
                 println!("noise_have: {noise_have}");
 
diff --git a/poulpy-core/src/noise/ggsw.rs b/poulpy-core/src/noise/ggsw.rs
index 616d7c2..0c0173f 100644
--- a/poulpy-core/src/noise/ggsw.rs
+++ b/poulpy-core/src/noise/ggsw.rs
@@ -107,7 +107,7 @@ where
 
                 self.vec_znx_sub_inplace(&mut pt_have.data, 0, &pt.data, 0);
 
-                let std_pt: f64 = pt_have.data.std(base2k, 0).log2();
+                let std_pt: f64 = pt_have.data.stats(base2k, 0).std().log2();
                 let noise: f64 = max_noise(col_j);
                 assert!(std_pt <= noise, "{std_pt} > {noise}");
 
@@ -165,7 +165,7 @@ where
 
                 self.vec_znx_sub_inplace(&mut pt_have.data, 0, &pt.data, 0);
 
-                let std_pt: f64 = pt_have.data.std(base2k, 0).log2();
+                let std_pt: f64 = pt_have.data.stats(base2k, 0).std().log2();
                 println!("col: {col_j} row: {row_i}: {std_pt}");
                 pt.data.zero();
             }
diff --git a/poulpy-core/src/noise/glwe.rs b/poulpy-core/src/noise/glwe.rs
index 7c6979e..dbdeea9 100644
--- a/poulpy-core/src/noise/glwe.rs
+++ b/poulpy-core/src/noise/glwe.rs
@@ -1,6 +1,6 @@
 use poulpy_hal::{
     api::{ScratchOwnedAlloc, ScratchOwnedBorrow, VecZnxNormalizeInplace, VecZnxSubInplace},
-    layouts::{Backend, DataRef, Module, Scratch, ScratchOwned},
+    layouts::{Backend, DataRef, Module, Scratch, ScratchOwned, Stats},
 };
 
 use crate::{
@@ -10,7 +10,7 @@ use crate::{
 };
 
 impl<D: DataRef> GLWE<D> {
-    pub fn noise<M, S, P, BE: Backend>(&self, module: &M, sk_prepared: &S, pt_want: &P, scratch: &mut Scratch<BE>) -> f64
+    pub fn noise<M, S, P, BE: Backend>(&self, module: &M, sk_prepared: &S, pt_want: &P, scratch: &mut Scratch<BE>) -> Stats
     where
         M: GLWENoise<BE>,
         S: GLWESecretPreparedToRef<BE>,
@@ -30,7 +30,7 @@ impl<D: DataRef> GLWE<D> {
 }
 
 pub trait GLWENoise<BE: Backend> {
-    fn glwe_noise<R, S, P>(&self, res: &R, sk_prepared: &S, pt_want: &P, scratch: &mut Scratch<BE>) -> f64
+    fn glwe_noise<R, S, P>(&self, res: &R, sk_prepared: &S, pt_want: &P, scratch: &mut Scratch<BE>) -> Stats
     where
         R: GLWEToRef,
         S: GLWESecretPreparedToRef<BE>,
@@ -49,7 +49,7 @@ where
     ScratchOwned<BE>: ScratchOwnedAlloc<BE> + ScratchOwnedBorrow<BE>,
     Scratch<BE>: ScratchTakeCore<BE>,
 {
-    fn glwe_noise<R, S, P>(&self, res: &R, sk_prepared: &S, pt_want: &P, scratch: &mut Scratch<BE>) -> f64
+    fn glwe_noise<R, S, P>(&self, res: &R, sk_prepared: &S, pt_want: &P, scratch: &mut Scratch<BE>) -> Stats
     where
         R: GLWEToRef,
         S: GLWESecretPreparedToRef<BE>,
@@ -63,7 +63,7 @@ where
         self.glwe_decrypt(res, &mut pt_have, sk_prepared, scratch);
         self.vec_znx_sub_inplace(&mut pt_have.data, 0, &pt_want.data, 0);
         self.vec_znx_normalize_inplace(res_ref.base2k().into(), &mut pt_have.data, 0, scratch);
-        pt_have.data.std(res_ref.base2k().into(), 0).log2()
+        pt_have.data.stats(res_ref.base2k().into(), 0)
     }
 
     fn glwe_assert_noise<R, S, P>(&self, res: &R, sk_prepared: &S, pt_want: &P, max_noise: f64)
@@ -74,7 +74,10 @@ where
     {
         let res: &GLWE<&[u8]> = &res.to_ref();
         let mut scratch: ScratchOwned<BE> = ScratchOwned::alloc(self.glwe_decrypt_tmp_bytes(res));
-        let noise_have: f64 = self.glwe_noise(res, sk_prepared, pt_want, scratch.borrow());
+        let noise_have: f64 = self
+            .glwe_noise(res, sk_prepared, pt_want, scratch.borrow())
+            .std()
+            .log2();
         assert!(noise_have <= max_noise, "{noise_have} {max_noise}");
     }
 }
diff --git a/poulpy-core/src/tests/test_suite/automorphism/gglwe_atk.rs b/poulpy-core/src/tests/test_suite/automorphism/gglwe_atk.rs
index 3f2b94a..14aab05 100644
--- a/poulpy-core/src/tests/test_suite/automorphism/gglwe_atk.rs
+++ b/poulpy-core/src/tests/test_suite/automorphism/gglwe_atk.rs
@@ -159,7 +159,7 @@ where
                         col_i,
                     );
 
-                    let noise_have: f64 = pt.data.std(base2k, 0).log2();
+                    let noise_have: f64 = pt.data.stats(base2k, 0).std().log2();
                     let noise_want: f64 = log2_std_noise_gglwe_product(
                         n as f64,
                         base2k * di,
@@ -306,7 +306,7 @@ where
                         col_i,
                     );
 
-                    let noise_have: f64 = pt.data.std(base2k, 0).log2();
+                    let noise_have: f64 = pt.data.stats(base2k, 0).std().log2();
                     let noise_want: f64 = log2_std_noise_gglwe_product(
                         n as f64,
                         base2k * di,
diff --git a/poulpy-core/src/tests/test_suite/encryption/glwe_ct.rs b/poulpy-core/src/tests/test_suite/encryption/glwe_ct.rs
index 514d28d..7d4fcff 100644
--- a/poulpy-core/src/tests/test_suite/encryption/glwe_ct.rs
+++ b/poulpy-core/src/tests/test_suite/encryption/glwe_ct.rs
@@ -74,7 +74,7 @@ where
 
         module.glwe_sub_inplace(&mut pt_want, &pt_have);
 
-        let noise_have: f64 = pt_want.data.std(base2k, 0) * (ct.k().as_u32() as f64).exp2();
+        let noise_have: f64 = pt_want.data.stats(base2k, 0).std() * (ct.k().as_u32() as f64).exp2();
         let noise_want: f64 = SIGMA;
 
         assert!(noise_have <= noise_want + 0.2);
@@ -147,7 +147,7 @@ where
 
         module.glwe_sub_inplace(&mut pt_want, &pt_have);
 
-        let noise_have: f64 = pt_want.data.std(base2k, 0) * (ct.k().as_u32() as f64).exp2();
+        let noise_have: f64 = pt_want.data.stats(base2k, 0).std() * (ct.k().as_u32() as f64).exp2();
         let noise_want: f64 = SIGMA;
 
         assert!(
@@ -203,7 +203,7 @@ where
         );
         ct.decrypt(module, &mut pt, &sk_prepared, scratch.borrow());
 
-        assert!((SIGMA - pt.data.std(base2k, 0) * (k_ct as f64).exp2()) <= 0.2);
+        assert!((SIGMA - pt.data.stats(base2k, 0).std() * (k_ct as f64).exp2()) <= 0.2);
     }
 }
 
@@ -271,7 +271,7 @@ where
 
         module.glwe_sub_inplace(&mut pt_want, &pt_have);
 
-        let noise_have: f64 = pt_want.data.std(base2k, 0).log2();
+        let noise_have: f64 = pt_want.data.stats(base2k, 0).std().log2();
         let noise_want: f64 = ((((rank as f64) + 1.0) * n as f64 * 0.5 * SIGMA * SIGMA).sqrt()).log2() - (k_ct as f64);
 
         assert!(
diff --git a/poulpy-core/src/tests/test_suite/glwe_packer.rs b/poulpy-core/src/tests/test_suite/glwe_packer.rs
index 7dd5ea2..04b08ab 100644
--- a/poulpy-core/src/tests/test_suite/glwe_packer.rs
+++ b/poulpy-core/src/tests/test_suite/glwe_packer.rs
@@ -150,7 +150,7 @@ where
 
     module.glwe_sub_inplace(&mut pt, &pt_want);
 
-    let noise_have: f64 = pt.std().log2();
+    let noise_have: f64 = pt.stats().std().log2();
 
     assert!(
         noise_have < -((k_ct - base2k) as f64),
diff --git a/poulpy-core/src/tests/test_suite/trace.rs b/poulpy-core/src/tests/test_suite/trace.rs
index 7c3c653..c4db7e4 100644
--- a/poulpy-core/src/tests/test_suite/trace.rs
+++ b/poulpy-core/src/tests/test_suite/trace.rs
@@ -123,7 +123,7 @@ where
         module.vec_znx_sub_inplace(&mut pt_want.data, 0, &pt_have.data, 0);
         module.vec_znx_normalize_inplace(base2k, &mut pt_want.data, 0, scratch.borrow());
 
-        let noise_have: f64 = pt_want.std().log2();
+        let noise_have: f64 = pt_want.stats().std().log2();
 
         let mut noise_want: f64 = var_noise_gglwe_product(
             n as f64,
diff --git a/poulpy-core/src/utils.rs b/poulpy-core/src/utils.rs
index 9f9e4a0..858cd5d 100644
--- a/poulpy-core/src/utils.rs
+++ b/poulpy-core/src/utils.rs
@@ -1,5 +1,5 @@
 use crate::layouts::{GLWEPlaintext, LWEInfos, LWEPlaintext, TorusPrecision};
-use poulpy_hal::layouts::{DataMut, DataRef};
+use poulpy_hal::layouts::{DataMut, DataRef, Stats};
 use rug::Float;
 
 impl<D: DataMut> GLWEPlaintext<D> {
@@ -29,8 +29,8 @@ impl<D: DataRef> GLWEPlaintext<D> {
         self.data.decode_vec_float(self.base2k().into(), 0, data);
     }
 
-    pub fn std(&self) -> f64 {
-        self.data.std(self.base2k().into(), 0)
+    pub fn stats(&self) -> Stats {
+        self.data.stats(self.base2k().into(), 0)
     }
 }
 
diff --git a/poulpy-hal/src/layouts/mod.rs b/poulpy-hal/src/layouts/mod.rs
index cce4df4..0553665 100644
--- a/poulpy-hal/src/layouts/mod.rs
+++ b/poulpy-hal/src/layouts/mod.rs
@@ -18,6 +18,7 @@ pub use module::*;
 pub use scalar_znx::*;
 pub use scratch::*;
 pub use serialization::*;
+pub use stats::*;
 pub use svp_ppol::*;
 pub use vec_znx::*;
 pub use vec_znx_big::*;
diff --git a/poulpy-hal/src/layouts/stats.rs b/poulpy-hal/src/layouts/stats.rs
index d40ffa5..bb4f9d2 100644
--- a/poulpy-hal/src/layouts/stats.rs
+++ b/poulpy-hal/src/layouts/stats.rs
@@ -6,15 +6,33 @@ use rug::{
 
 use crate::layouts::{Backend, DataRef, VecZnx, VecZnxBig, VecZnxBigToRef, ZnxInfos};
 
+pub struct Stats {
+    max: f64,
+    std: f64,
+}
+
+impl Stats {
+    pub fn max(&self) -> f64 {
+        self.max
+    }
+
+    pub fn std(&self) -> f64 {
+        self.std
+    }
+}
+
 impl<D: DataRef> VecZnx<D> {
-    pub fn std(&self, base2k: usize, col: usize) -> f64 {
+    pub fn stats(&self, base2k: usize, col: usize) -> Stats {
         let prec: u32 = (self.size() * base2k) as u32;
         let mut data: Vec<Float> = (0..self.n()).map(|_| Float::with_val(prec, 0)).collect();
         self.decode_vec_float(base2k, col, &mut data);
         // std = sqrt(sum((xi - avg)^2) / n)
         let mut avg: Float = Float::with_val(prec, 0);
+        let mut max: Float = Float::with_val(prec, 0);
+
         data.iter().for_each(|x| {
             avg.add_assign_round(x, Round::Nearest);
+            max.max_mut(&Float::with_val(53, x.abs_ref()));
         });
         avg.div_assign_round(Float::with_val(prec, data.len()), Round::Nearest);
         data.iter_mut().for_each(|x| {
@@ -24,12 +42,15 @@ impl<D: DataRef> VecZnx<D> {
         data.iter().for_each(|x| std += x * x);
         std.div_assign_round(Float::with_val(prec, data.len()), Round::Nearest);
         std = std.sqrt();
-        std.to_f64()
+        Stats {
+            std: std.to_f64(),
+            max: max.to_f64(),
+        }
     }
 }
 
 impl<D: DataRef, B: Backend + Backend<ScalarBig = i64>> VecZnxBig<D, B> {
-    pub fn std(&self, base2k: usize, col: usize) -> f64 {
+    pub fn stats(&self, base2k: usize, col: usize) -> Stats {
         let self_ref: VecZnxBig<&[u8], B> = self.to_ref();
         let znx: VecZnx<&[u8]> = VecZnx {
             data: self_ref.data,
@@ -38,6 +59,6 @@ impl<D: DataRef, B: Backend + Backend<ScalarBig = i64>> VecZnxBig<D, B> {
             size: self_ref.size,
             max_size: self_ref.max_size,
         };
-        znx.std(base2k, col)
+        znx.stats(base2k, col)
     }
 }
diff --git a/poulpy-hal/src/reference/fft64/vec_znx_big.rs b/poulpy-hal/src/reference/fft64/vec_znx_big.rs
index 2295ee7..233eb5c 100644
--- a/poulpy-hal/src/reference/fft64/vec_znx_big.rs
+++ b/poulpy-hal/src/reference/fft64/vec_znx_big.rs
@@ -324,7 +324,7 @@ where
                     assert_eq!(a.at(col_j, limb_i), zero);
                 })
             } else {
-                let std: f64 = a.std(base2k, col_i) * k_f64;
+                let std: f64 = a.stats(base2k, col_i).std() * k_f64;
                 assert!(
                     (std - sigma * sqrt2).abs() < 0.1,
                     "std={} ~!= {}",
diff --git a/poulpy-hal/src/reference/vec_znx/shift.rs b/poulpy-hal/src/reference/vec_znx/shift.rs
index a13b982..a7366f8 100644
--- a/poulpy-hal/src/reference/vec_znx/shift.rs
+++ b/poulpy-hal/src/reference/vec_znx/shift.rs
@@ -662,8 +662,8 @@ mod tests {
                         vec_znx_normalize_inplace::<_, ZnxRef>(base2k, &mut res_ref, j, &mut carry);
                         vec_znx_normalize_inplace::<_, ZnxRef>(base2k, &mut res_test, j, &mut carry);
 
-                        assert!(res_ref.std(base2k, j).log2() - (k as f64) <= (k * base2k) as f64);
-                        assert!(res_test.std(base2k, j).log2() - (k as f64) <= (k * base2k) as f64);
+                        assert!(res_ref.stats(base2k, j).std().log2() - (k as f64) <= (k * base2k) as f64);
+                        assert!(res_test.stats(base2k, j).std().log2() - (k as f64) <= (k * base2k) as f64);
                     }
                 }
             }
diff --git a/poulpy-hal/src/test_suite/vec_znx.rs b/poulpy-hal/src/test_suite/vec_znx.rs
index f1c4e86..058d0ec 100644
--- a/poulpy-hal/src/test_suite/vec_znx.rs
+++ b/poulpy-hal/src/test_suite/vec_znx.rs
@@ -717,7 +717,7 @@ where
                     assert_eq!(a.at(col_j, limb_i), zero);
                 })
             } else {
-                let std: f64 = a.std(base2k, col_i);
+                let std: f64 = a.stats(base2k, col_i).std();
                 assert!(
                     (std - one_12_sqrt).abs() < 0.01,
                     "std={std} ~!= {one_12_sqrt}",
@@ -750,7 +750,7 @@ where
                     assert_eq!(a.at(col_j, limb_i), zero);
                 })
             } else {
-                let std: f64 = a.std(base2k, col_i) * k_f64;
+                let std: f64 = a.stats(base2k, col_i).std() * k_f64;
                 assert!((std - sigma).abs() < 0.1, "std={std} ~!= {sigma}");
             }
         })
@@ -782,7 +782,7 @@ where
                     assert_eq!(a.at(col_j, limb_i), zero);
                 })
             } else {
-                let std: f64 = a.std(base2k, col_i) * k_f64;
+                let std: f64 = a.stats(base2k, col_i).std() * k_f64;
                 assert!(
                     (std - sigma * sqrt2).abs() < 0.1,
                     "std={std} ~!= {}",
diff --git a/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/fhe_uint.rs b/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/fhe_uint.rs
index 19629f6..1d60027 100644
--- a/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/fhe_uint.rs
+++ b/poulpy-schemes/src/tfhe/bdd_arithmetic/ciphertexts/fhe_uint.rs
@@ -8,7 +8,7 @@ use poulpy_core::{
 };
 use poulpy_hal::{
     api::ModuleLogN,
-    layouts::{Backend, Data, DataMut, DataRef, Scratch},
+    layouts::{Backend, Data, DataMut, DataRef, Scratch, Stats},
     source::Source,
 };
 use std::{collections::HashMap, marker::PhantomData};
@@ -114,7 +114,7 @@ impl<D: DataMut, T: UnsignedInteger + ToBits> FheUint<D, T> {
 }
 
 impl<D: DataRef, T: UnsignedInteger + FromBits> FheUint<D, T> {
-    pub fn noise<S, M, BE: Backend>(&self, module: &M, want: u32, sk: &S, scratch: &mut Scratch<BE>) -> f64
+    pub fn noise<S, M, BE: Backend>(&self, module: &M, want: u32, sk: &S, scratch: &mut Scratch<BE>) -> Stats
     where
         S: GLWESecretPreparedToRef<BE> + GLWEInfos,
         M: ModuleLogN + GLWEDecrypt<BE> + GLWENoise<BE>,