Medium severityGHSA Advisory· Published May 13, 2026· Updated May 14, 2026
CVE-2026-44368
CVE-2026-44368
Description
PyQuorum is a cryptographic library for secret sharing and key management. Prior to 0.2.1, the mul_mod function implements multiplication via a binary expansion loop whose execution time depends on the Hamming weight of the second operand (the exponent). An attacker who can measure the time of secret‑sharing operations (e.g., via a remote service) could progressively recover the values of shares, ultimately leading to secret reconstruction. This vulnerability is fixed in 0.2.1.
Affected packages
Versions sourced from the GitHub Security Advisory.
| Package | Affected versions | Patched versions |
|---|---|---|
pyquorumPyPI | < 0.2.1 | 0.2.1 |
Affected products
1Patches
11e9ac41dd3c3fix: timing leak in mul_mod; add: KAT vectors for shamir and blakley scheme for test
9 files changed · +398 −31
pyproject.toml+1 −1 modified@@ -4,7 +4,7 @@ build-backend = "maturin" [project] name = "pyquorum" -version = "0.2.0" +version = "0.2.1" description = "Cryptographic library for secret sharing and key management, powered by Rust" license = {file = "LICENSE"} authors = [
SECURITY_ISSUES_TRACKER.md+0 −2 modified@@ -1,7 +1,5 @@ ## Known Security Issues -This library is in early development (0.x.x) and has known vulnerabilities: - - **[HIGH]** Secret key split into 4×64-bit chunks weakening 256-bit security - **[MEDIUM]** Timing leak in modular multiplication (mul_mod) - **[MEDIUM]** Gaussian elimination in Blakley scheme is not constant-time
src/rust/Cargo.lock+7 −0 modified@@ -73,6 +73,12 @@ version = "0.5.0" source = "registry+https://github.com/rust-lang/crates.io-index" checksum = "2304e00983f87ffb38b55b444b5e3b60a884b5d30c0fca7d82fe33449bbe55ea" +[[package]] +name = "lazy_static" +version = "1.5.0" +source = "registry+https://github.com/rust-lang/crates.io-index" +checksum = "bbd2bcb4c963f2ddae06a2efc7e9f3591312473c50c6685e1f298068316e66fe" + [[package]] name = "libc" version = "0.2.185" @@ -171,6 +177,7 @@ dependencies = [ name = "pyquorum_core" version = "0.1.0" dependencies = [ + "lazy_static", "pyo3", "rand", "sha2",
src/rust/Cargo.toml+2 −1 modified@@ -12,7 +12,8 @@ pyo3 = { version = "0.28.3", features = ["extension-module", "abi3-py39"] } rand = "0.8" zeroize = { version = "1.7", features = ["derive"] } sha2 = "0.10" +lazy_static = "1.5.0" [profile.release] opt-level = 3 -strip = true \ No newline at end of file +strip = true
src/rust/src/lib.rs+71 −25 modified@@ -3,12 +3,15 @@ use pyo3::prelude::*; use pyo3::types::PyBytes; use rand::rngs::OsRng; use rand::RngCore; +use lazy_static::lazy_static; use zeroize::{Zeroize, ZeroizeOnDrop}; // ── Константы ───────────────────────────────────────────────────────────── const PRIME: u128 = (1u128 << 127) - 1; const KEY_LEN: usize = 32; +const P_PRIME: u128 = 0x8000_0000_0000_0000_0000_0000_0000_0001; +const R2_MOD_P: u128 = 4; // ── Защищённый тип ──────────────────────────────────────────────────────── @@ -17,29 +20,72 @@ struct SecretKey([u8; KEY_LEN]); // ── Арифметика GF(p) ────────────────────────────────────── -fn mul_mod(a: u128, b: u128, m: u128) -> u128 { - let mut result = 0u128; - let mut base = a % m; - let mut exp = b; - while exp > 0 { - if exp & 1 == 1 { - result = (result + base) % m; - } - base = (base << 1) % m; - exp >>= 1; - } - result +// 128×128 → 256 бит без ветки. Компилируется в MUL + ADC. +#[inline(always)] +fn widening_mul(a: u128, b: u128) -> (u128, u128) { + let a_lo = a as u64 as u128; + let a_hi = (a >> 64) as u64 as u128; + let b_lo = b as u64 as u128; + let b_hi = (b >> 64) as u64 as u128; + + let ll = a_lo * b_lo; + let lh = a_lo * b_hi; + let hl = a_hi * b_lo; + let hh = a_hi * b_hi; + + let (mid, mid_carry) = lh.overflowing_add(hl); + let (lo, lo_carry) = ll.overflowing_add(mid << 64); + + let hi = hh + .wrapping_add(mid >> 64) + .wrapping_add((mid_carry as u128) << 64) + .wrapping_add(lo_carry as u128); + (lo, hi) +} + +// REDC: вход T = t_hi*2^128 + t_lo < p*R, выход T*R^{-1} mod p. +const MASK127: u128 = (1u128 << 127) - 1; + +#[inline(always)] +fn mersenne_reduce(t_lo: u128, t_hi: u128) -> u128 { + // Шаг 1: A = T >> 127, B = T mod 2^127 + // + // t_hi < 2^126 гарантировано (T < p² < 2^254, T >> 128 < 2^126), + // поэтому t_hi << 1 не переполняет u128. + let b = t_lo & MASK127; + let a = (t_lo >> 127) | (t_hi << 1); // a < p, влезает в u128 + + // Шаг 2: первая редукция; a + b < p + 2^127 = 2^128 - 1 ≤ u128::MAX + let r = a + b; + + // Шаг 3: вторая редукция; r >> 127 ∈ {0, 1} + let r = (r & MASK127) + (r >> 127); + + // Шаг 4: CT финальная вычитка (r < 2p после шага 3) + let (r2, borrow) = r.overflowing_sub(PRIME); + let mask = (borrow as u128).wrapping_neg(); // 0x00..00 или 0xFF..FF + (r & mask) | (r2 & !mask) +} + +// ── Публичный интерфейс: умножение по модулю ────────────────────────────── +// +// Заменяет старый mul_mod, сигнатура идентична — остальной код не трогаем. + +#[inline] +fn mul_mod(a: u128, b: u128) -> u128 { + let (lo, hi) = widening_mul(a, b); + mersenne_reduce(lo, hi) } fn mod_pow(mut base: u128, mut exp: u128, modulus: u128) -> u128 { let mut result = 1u128; base %= modulus; while exp > 0 { if exp & 1 == 1 { - result = mul_mod(result, base, modulus); + result = mul_mod(result, base); } exp >>= 1; - base = mul_mod(base, base, modulus); + base = mul_mod(base, base); } result } @@ -78,8 +124,8 @@ fn shamir_split_internal(secret: &[u8; KEY_LEN], k: usize, n: usize) -> Result<V let mut result = s; let mut x_pow = x; for &c in c_list { - result = (result + mul_mod(c, x_pow, PRIME)) % PRIME; - x_pow = mul_mod(x_pow, x, PRIME); + result = (result + mul_mod(c, x_pow)) % PRIME; + x_pow = mul_mod(x_pow, x); } result }; @@ -126,12 +172,12 @@ fn shamir_combine_internal(shares: &[String], k: usize) -> Result<SecretKey, Str for j in 0..k { if i == j { continue; } let xj = parsed[j].0; - num = mul_mod(num, PRIME - (xj % PRIME), PRIME); + num = mul_mod(num, PRIME - (xj % PRIME)); let diff = if xi > xj { xi - xj } else { PRIME - (xj - xi) % PRIME }; - den = mul_mod(den, diff, PRIME); + den = mul_mod(den, diff); } - let li = mul_mod(num, mod_inv(den, PRIME), PRIME); - result = (result + mul_mod(yi, li, PRIME)) % PRIME; + let li = mul_mod(num, mod_inv(den, PRIME)); + result = (result + mul_mod(yi, li)) % PRIME; } key_bytes[comp * 8..(comp + 1) * 8].copy_from_slice(&(result as u64).to_be_bytes()); } @@ -155,17 +201,17 @@ fn solve_system(mut matrix: Vec<Vec<u128>>, mut b: Vec<u128>, p: u128) -> Result b.swap(i, pivot); let inv = mod_inv(matrix[i][i], p); - for j in i..n { matrix[i][j] = mul_mod(matrix[i][j], inv, p); } - b[i] = mul_mod(b[i], inv, p); + for j in i..n { matrix[i][j] = mul_mod(matrix[i][j], inv); } + b[i] = mul_mod(b[i], inv); for k in 0..n { if k != i { let factor = matrix[k][i]; for j in i..n { - let sub = mul_mod(factor, matrix[i][j], p); + let sub = mul_mod(factor, matrix[i][j]); matrix[k][j] = (matrix[k][j] + p - sub) % p; } - let sub_b = mul_mod(factor, b[i], p); + let sub_b = mul_mod(factor, b[i]); b[k] = (b[k] + p - sub_b) % p; } } @@ -214,7 +260,7 @@ fn blakley_split_internal(secret: &[u8; KEY_LEN], k: usize, n: usize) -> Result< for point in &secret_points { let mut d = 0u128; for i in 0..k { - d = (d + mul_mod(a_coeffs[i], point[i], PRIME)) % PRIME; + d = (d + mul_mod(a_coeffs[i], point[i])) % PRIME; } d_results.push(format!("{:032x}", d)); }
tests/sharing/test_blakley.py+12 −1 modified@@ -1,4 +1,5 @@ import pytest +import json from pyquorum import BlakleyScheme, generate_key, Shares from pyquorum.exceptions import InvalidKeyError, InvalidShareError, ThresholdError @@ -10,6 +11,9 @@ def scheme_test(): def key_test(): return generate_key() +def load_vectors(): + with open("tests/vectors/blakley_vectors.json") as f: + return json.load(f) def test_split_combine_full_shares(scheme_test, key_test): shares = scheme_test.split(key_test) @@ -44,4 +48,11 @@ def test_threshold_error(): def test_not_enough_share(scheme_test, key_test): shares = scheme_test.split(key_test) with pytest.raises(InvalidShareError): - scheme_test.combine(Shares([shares.to_raw()[0]])) \ No newline at end of file + scheme_test.combine(Shares([shares.to_raw()[0]])) + +@pytest.mark.parametrize("vector", load_vectors()) +def test_kat_shamir(vector): + scheme = BlakleyScheme(int(vector['k']), int(vector['n'])) + shares = Shares(vector['shares']) + combine = scheme.combine(Shares([shares.to_raw()[i] for i in range(scheme.k)])) + assert combine.hex() == vector['secret'] \ No newline at end of file
tests/sharing/test_shamir.py+13 −1 modified@@ -1,4 +1,5 @@ import pytest +import json from pyquorum import ShamirScheme, generate_key, Shares from pyquorum.exceptions import InvalidKeyError, InvalidShareError, ThresholdError @@ -10,6 +11,10 @@ def scheme_test(): def key_test(): return generate_key() +def load_vectors(): + with open("tests/vectors/shamir_vectors.json") as f: + return json.load(f) + def test_split_combine_full_shares(scheme_test, key_test): shares = scheme_test.split(key_test) source = scheme_test.combine(shares) @@ -43,4 +48,11 @@ def test_threshold_error(): def test_not_enough_share(scheme_test, key_test): shares = scheme_test.split(key_test) with pytest.raises(InvalidShareError): - scheme_test.combine(Shares([shares.to_raw()[0]])) \ No newline at end of file + scheme_test.combine(Shares([shares.to_raw()[0]])) + +@pytest.mark.parametrize("vector", load_vectors()) +def test_kat_shamir(vector): + scheme = ShamirScheme(int(vector['k']), int(vector['n'])) + shares = Shares(vector['shares']) + combine = scheme.combine(Shares([shares.to_raw()[i] for i in range(scheme.k)])) + assert combine.hex() == vector['secret'] \ No newline at end of file
tests/vectors/blakley_vectors.json+164 −0 added@@ -0,0 +1,164 @@ +[ + { + "secret": "464e18f02606fa50e9b3f2f52bf384942cbe334c2ecb624dfc5a03e4cfd24856", + "shares": ["00000000000000003903dca01cbe9e45,0000000000000000858b8255f83aa1bf:36aabd1acad5adf64af2dae3e36e1fc6:646fd1c98bc827776f19af8b6c12b0eb:097112ede57b6ed0262e75904de54605:3933b85f72201c5c5cc5d8be1a1294dc", "0000000000000000607561d2767f151f,000000000000000004fcfd5ff6a59d3b:1bf28943c09c8c9bdc80a10e500f75be:59dd555e5666139149072fab588f738f:159ece13184fbd345b5604a979f8e122:5f1f05baaba1ee32050d41570525e9d0", "000000000000000016277e11a6d9db14,000000000000000011c696794610eb38:0b46ccb620a9795d29e4cfeae6497470:1aaa572c0b32b48727af3d29166c4308:14d70f41cb8c188b379057df2ba0df5c:15f8b934eccd5a30e9a8726aaca504a8"], + "k": "2", + "n": "3" + }, + { + "secret": "464e18f02606fa50e9b3f2f52bf384942cbe334c2ecb624dfc5a03e4cfd24856", + "shares": 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Vulnerability mechanics
Generated by null/stub on May 9, 2026. Inputs: CWE entries + fix-commit diffs from this CVE's patches. Citations validated against bundle.
References
5- github.com/advisories/GHSA-7r92-3jgr-r65qghsaADVISORY
- nvd.nist.gov/vuln/detail/CVE-2026-44368ghsaADVISORY
- github.com/svvqt/pyquorum/commit/1e9ac41dd3c305c13d7a6b7d227bf325be82d730ghsaWEB
- github.com/svvqt/pyquorum/releases/tag/v0.2.1ghsaWEB
- github.com/svvqt/pyquorum/security/advisories/GHSA-7r92-3jgr-r65qnvdWEB
News mentions
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