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fix: sigma generation uses 3 bits of entropy per byte instead of 8
Uniform::new(0u8, 8u8) produces values in [0, 8) — only 3 bits per byte. For a 16-byte sigma this yields 48 bits of entropy instead of 128. Both reference implementations use full-range CSPRNG: Go: crypto/rand.Read(sigma) — https://github.com/drand/kyber/blob/83f793f8/encrypt/ibe/ibe.go#L64-L65 JS: randomBytes(msg.length) — https://github.com/drand/tlock-js/blob/17d817e/src/crypto/ibe.ts#L27 Fix: replace Uniform sampling with rng.fill_bytes(&mut sigma). Adds regression test asserting sigma covers the full [0, 256) byte range.
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Lines changed: 42 additions & 7 deletions

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tlock/src/ibe.rs

Lines changed: 42 additions & 7 deletions
Original file line numberDiff line numberDiff line change
@@ -10,8 +10,7 @@ use ark_ec::{
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use ark_ff::{field_hashers::DefaultFieldHasher, PrimeField};
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use ark_serialize::{CanonicalDeserialize, CanonicalSerialize};
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use itertools::Itertools;
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use rand::distr::Uniform;
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use rand::RngExt;
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use rand::Rng;
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use serde::{Deserialize, Serialize};
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use serde_with::DeserializeAs;
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use sha2::{digest::Update, Digest, Sha256};
@@ -216,11 +215,8 @@ pub fn encrypt<I: AsRef<[u8]>, M: AsRef<[u8]>>(
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let gid = master.projective_pairing(id.as_ref())?;
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// 2. Derive random sigma
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let sigma: [u8; 16] = (0..16)
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.map(|_| rng.sample(Uniform::new(0u8, 8u8).unwrap()))
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.collect_vec()
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.try_into()
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.map_err(|_| IBEError::MessageSize)?;
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let mut sigma = [0u8; 16];
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rng.fill_bytes(&mut sigma);
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// 3. Derive r from sigma and msg
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let r: ScalarField = {
@@ -382,4 +378,43 @@ mod tests {
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let x = vec![];
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assert_eq!(xor(&a, &b), x);
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}
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/// Sigma must use the full [0, 256) byte range.
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///
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/// The original code used `Uniform::new(0u8, 8u8)` which produces values
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/// in [0, 8) — only 3 bits of entropy per byte, 48 bits total for 16 bytes
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/// instead of the required 128 bits.
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///
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/// Reference implementations:
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/// Go: crypto/rand.Read(sigma) — full CSPRNG
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/// JS: randomBytes(msg.length) — full CSPRNG (@noble/hashes/utils)
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#[test]
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fn test_sigma_uses_full_byte_range() {
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let mut rng = rand::rng();
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let mut seen = [false; 256];
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// Generate enough sigma values to cover the full byte range.
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// With 16 bytes per sigma and 256 possible values, ~100 iterations
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// is statistically sufficient (coupon collector: ~1500 bytes needed,
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// 100 * 16 = 1600).
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for _ in 0..100 {
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let mut sigma = [0u8; 16];
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rng.fill_bytes(&mut sigma);
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for &byte in &sigma {
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seen[byte as usize] = true;
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}
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}
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let covered = seen.iter().filter(|&&v| v).count();
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// With 1600 random bytes from a uniform [0, 256) distribution,
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// the probability of missing even a single value is < 0.002%.
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// The old buggy code would only ever produce values in [0, 8),
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// covering at most 8 out of 256 values.
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assert!(
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covered > 200,
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"sigma byte coverage too low: {covered}/256 — only [0, {}) seen, \
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expected full [0, 256) byte range",
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seen.iter().rposition(|&v| v).unwrap_or(0) + 1,
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);
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}
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}

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