diff --git a/Cargo.lock b/Cargo.lock
index 8f1eec6842..58756bf061 100644
--- a/Cargo.lock
+++ b/Cargo.lock
@@ -1216,6 +1216,7 @@ dependencies = [
  "hex",
  "imhamt",
  "lazy_static",
+ "num-integer",
  "proptest",
  "quickcheck",
  "quickcheck_macros",
@@ -1303,12 +1304,14 @@ dependencies = [
  "const_format",
  "criterion",
  "cryptoxide 0.4.4",
+ "num-integer",
  "rand 0.8.5",
  "rand_chacha 0.3.1",
  "rand_core 0.6.4",
  "rayon",
  "smoke",
  "thiserror",
+ "tracing",
 ]
 
 [[package]]
@@ -4023,9 +4026,9 @@ dependencies = [
 
 [[package]]
 name = "lazy_static"
-version = "1.4.0"
+version = "1.5.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "e2abad23fbc42b3700f2f279844dc832adb2b2eb069b2df918f455c4e18cc646"
+checksum = "bbd2bcb4c963f2ddae06a2efc7e9f3591312473c50c6685e1f298068316e66fe"
 
 [[package]]
 name = "lazycell"
@@ -4739,25 +4742,24 @@ dependencies = [
 
 [[package]]
 name = "num"
-version = "0.4.1"
+version = "0.4.3"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "b05180d69e3da0e530ba2a1dae5110317e49e3b7f3d41be227dc5f92e49ee7af"
+checksum = "35bd024e8b2ff75562e5f34e7f4905839deb4b22955ef5e73d2fea1b9813cb23"
 dependencies = [
  "num-bigint",
  "num-complex",
  "num-integer",
  "num-iter",
- "num-rational 0.4.1",
+ "num-rational 0.4.2",
  "num-traits",
 ]
 
 [[package]]
 name = "num-bigint"
-version = "0.4.4"
+version = "0.4.6"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "608e7659b5c3d7cba262d894801b9ec9d00de989e8a82bd4bef91d08da45cdc0"
+checksum = "a5e44f723f1133c9deac646763579fdb3ac745e418f2a7af9cd0c431da1f20b9"
 dependencies = [
- "autocfg",
  "num-integer",
  "num-traits",
  "serde",
@@ -4765,9 +4767,9 @@ dependencies = [
 
 [[package]]
 name = "num-complex"
-version = "0.4.4"
+version = "0.4.6"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "1ba157ca0885411de85d6ca030ba7e2a83a28636056c7c699b07c8b6f7383214"
+checksum = "73f88a1307638156682bada9d7604135552957b7818057dcef22705b4d509495"
 dependencies = [
  "num-traits",
  "serde",
@@ -4786,19 +4788,18 @@ dependencies = [
 
 [[package]]
 name = "num-integer"
-version = "0.1.45"
+version = "0.1.46"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "225d3389fb3509a24c93f5c29eb6bde2586b98d9f016636dff58d7c6f7569cd9"
+checksum = "7969661fd2958a5cb096e56c8e1ad0444ac2bbcd0061bd28660485a44879858f"
 dependencies = [
- "autocfg",
  "num-traits",
 ]
 
 [[package]]
 name = "num-iter"
-version = "0.1.43"
+version = "0.1.45"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "7d03e6c028c5dc5cac6e2dec0efda81fc887605bb3d884578bb6d6bf7514e252"
+checksum = "1429034a0490724d0075ebb2bc9e875d6503c3cf69e235a8941aa757d83ef5bf"
 dependencies = [
  "autocfg",
  "num-integer",
@@ -4818,11 +4819,10 @@ dependencies = [
 
 [[package]]
 name = "num-rational"
-version = "0.4.1"
+version = "0.4.2"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "0638a1c9d0a3c0914158145bc76cff373a75a627e6ecbfb71cbe6f453a5a19b0"
+checksum = "f83d14da390562dca69fc84082e73e548e1ad308d24accdedd2720017cb37824"
 dependencies = [
- "autocfg",
  "num-bigint",
  "num-integer",
  "num-traits",
@@ -4831,9 +4831,9 @@ dependencies = [
 
 [[package]]
 name = "num-traits"
-version = "0.2.17"
+version = "0.2.19"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "39e3200413f237f41ab11ad6d161bc7239c84dcb631773ccd7de3dfe4b5c267c"
+checksum = "071dfc062690e90b734c0b2273ce72ad0ffa95f0c74596bc250dcfd960262841"
 dependencies = [
  "autocfg",
  "libm",
diff --git a/src/chain-libs/chain-impl-mockchain/Cargo.toml b/src/chain-libs/chain-impl-mockchain/Cargo.toml
index 83f4b2b74d..4523268cf1 100644
--- a/src/chain-libs/chain-impl-mockchain/Cargo.toml
+++ b/src/chain-libs/chain-impl-mockchain/Cargo.toml
@@ -32,6 +32,8 @@ criterion = { version = "0.3.0", optional = true }
 rand = "0.8"
 cryptoxide = "0.4"
 tracing.workspace = true
+num-integer = "0.1"
+
 
 [features]
 property-test-api = [
diff --git a/src/chain-libs/chain-impl-mockchain/src/vote/tally.rs b/src/chain-libs/chain-impl-mockchain/src/vote/tally.rs
index 7d6a1c2f24..32c601ee5e 100644
--- a/src/chain-libs/chain-impl-mockchain/src/vote/tally.rs
+++ b/src/chain-libs/chain-impl-mockchain/src/vote/tally.rs
@@ -4,6 +4,7 @@ use crate::{
     vote::{Choice, Options},
 };
 use chain_vote::EncryptedTally;
+use num_integer::Roots;
 use std::fmt;
 use thiserror::Error;
 
@@ -166,7 +167,11 @@ impl TallyResult {
         } else {
             let index = choice.as_byte() as usize;
 
-            self.results[index] = self.results[index].saturating_add(weight);
+            // Returns the truncated principal square root of an integer – ⌊√x⌋
+            // This is solving for r in r² = x, rounding toward zero. The result will satisfy r² ≤ x < (r+1)²
+            let weight_gammad = weight.0.sqrt();
+
+            self.results[index] = self.results[index].saturating_add(Weight(weight_gammad));
 
             Ok(())
         }
diff --git a/src/chain-libs/chain-vote/Cargo.toml b/src/chain-libs/chain-vote/Cargo.toml
index 6d31e20b84..17b6628f4e 100644
--- a/src/chain-libs/chain-vote/Cargo.toml
+++ b/src/chain-libs/chain-vote/Cargo.toml
@@ -14,6 +14,9 @@ thiserror = "1.0"
 cryptoxide = "^0.4.2"
 const_format = "0.2"
 base64 = "0.21.0"
+tracing = "0.1"
+num-integer = "0.1"
+
 
 [dev-dependencies]
 rand_chacha = "0.3"
diff --git a/src/chain-libs/chain-vote/src/tally.rs b/src/chain-libs/chain-vote/src/tally.rs
index d28543be17..644342266d 100644
--- a/src/chain-libs/chain-vote/src/tally.rs
+++ b/src/chain-libs/chain-vote/src/tally.rs
@@ -11,6 +11,8 @@ use crate::{
 use base64::{engine::general_purpose, Engine as _};
 use cryptoxide::blake2b::Blake2b;
 use cryptoxide::digest::Digest;
+use num_integer::Roots;
+
 use rand_core::{CryptoRng, RngCore};
 
 /// Secret key for opening vote
@@ -155,10 +157,15 @@ impl EncryptedTally {
     pub fn add(&mut self, ballot: &Ballot, weight: u64) {
         assert_eq!(ballot.vote().len(), self.r.len());
         assert_eq!(ballot.fingerprint(), &self.fingerprint);
+
+        // Returns the truncated principal square root of an integer – ⌊√x⌋
+        // This is solving for r in r² = x, rounding toward zero. The result will satisfy r² ≤ x < (r+1)²
+        let weight_gammad = weight.sqrt();
+
         for (ri, ci) in self.r.iter_mut().zip(ballot.vote().iter()) {
-            *ri = &*ri + &(ci * weight);
+            *ri = &*ri + &(ci * weight_gammad);
         }
-        self.max_stake += weight;
+        self.max_stake += weight_gammad;
     }
 
     /// Given a single committee member's `secret_key`, returns a partial decryption of