bte/proof_chunking.rs: Check for potential arithmentic overflows

This commit is contained in:
Georgio Nicolas
2025-06-04 23:21:49 +02:00
parent b9339b8f0c
commit 4d09b6f2e5
2 changed files with 92 additions and 17 deletions
+86 -17
View File
@@ -28,6 +28,7 @@ const SECURITY_PARAMETER: usize = 256;
/// ceil(SECURITY_PARAMETER / PARALLEL_RUNS) in the paper
const NUM_CHALLENGE_BITS: usize = SECURITY_PARAMETER.div_ceil(PARALLEL_RUNS);
const EE: usize = 1 << NUM_CHALLENGE_BITS;
// type alias for ease of use
type FirstChallenge = Vec<Vec<Vec<u64>>>;
@@ -110,21 +111,20 @@ impl ProofOfChunking {
// define bounds for the blinding factors
let n = instance.public_keys.len();
let m = NUM_CHUNKS;
let ee = 1 << NUM_CHALLENGE_BITS;
// CHUNK_MAX corresponds to paper's B
let ss = (n * m * (CHUNK_SIZE - 1) * (ee - 1)) as u64;
let zz = (2 * (PARALLEL_RUNS as u64))
.checked_mul(ss)
.expect("overflow in Z = 2 * l * S");
// ss = (n * m * (CHUNK_SIZE - 1) * (ee - 1))
// Z = 2 * l * S
let (ss, zz): (u64, u64) = compute_ss_zz(n, m)?;
let ss_scalar = Scalar::from(ss);
// rather than generating blinding factors in [-S, Z-1] directly,
// do it via [0, Z - 1 + S + 1] and deal with the shift later.
let combined_upper_range = (zz - 1)
.checked_add(ss + 1)
.expect("overflow in Z - 1 + S + 1");
// combined_upper_range = Z - 1 + S + 1
let combined_upper_range = zz.checked_add(ss).ok_or(DkgError::ArithmeticOverflow {
info: "ProofOfChunking::construct | Z - 1 + S + 1",
})?;
let mut betas = Vec::with_capacity(PARALLEL_RUNS);
let mut bs = Vec::with_capacity(PARALLEL_RUNS);
@@ -178,12 +178,23 @@ impl ProofOfChunking {
// I think this part is more readable with a range loop
#[allow(clippy::needless_range_loop)]
for l in 0..PARALLEL_RUNS {
let mut sum = 0;
let mut sum: u64 = 0;
for (i, witness_i) in witnesses_s.iter().enumerate() {
for (j, witness_ij) in witness_i.to_chunks().chunks.iter().enumerate() {
debug_assert!(std::mem::size_of::<Chunk>() <= std::mem::size_of::<u64>());
sum += first_challenge[i][j][l] * (*witness_ij as u64)
// sum += first_challenge[i][j][l] * (*witness_ij as u64)
sum = sum
.checked_add(
first_challenge[i][j][l]
.checked_mul(*witness_ij as u64)
.ok_or(DkgError::ArithmeticOverflow {
info: "ProofOfChunking::construct | first_challenge[i][j][l] * witness_ij",
})?,
)
.ok_or(DkgError::ArithmeticOverflow {
info: "ProofOfChunking::construct | sum + (first_challenge[i][j][l] * witness_ij)",
})?;
}
}
@@ -191,7 +202,18 @@ impl ProofOfChunking {
continue 'retry_loop;
}
// shifted_blinding_factors[l] - ss restores it to "proper" [-S, Z - 1] range
let response = sum + shifted_blinding_factors[l] - ss;
// let response = sum + shifted_blinding_factors[l] - ss;
let response = sum
.checked_add(shifted_blinding_factors[l])
.ok_or(DkgError::ArithmeticOverflow {
info:
"ProofOfChunking::construct | sum + (shifted_blinding_factors[l] - ss)",
})?
.checked_sub(ss)
.ok_or(DkgError::ArithmeticUnderflow {
info: "ProofOfChunking::construct | shifted_blinding_factors[l] - ss",
})?;
if response < zz {
responses_chunks.push(response)
} else {
@@ -276,11 +298,14 @@ impl ProofOfChunking {
ensure_len!(&self.responses_r, n);
ensure_len!(&self.responses_chunks, PARALLEL_RUNS);
let ee = 1 << NUM_CHALLENGE_BITS;
// ss = (n * m * (CHUNK_SIZE - 1) * (ee - 1))
// Z = 2 * l * S
// CHUNK_MAX corresponds to paper's B
let ss = (n * m * (CHUNK_SIZE - 1) * (ee - 1)) as u64;
let zz = 2 * (PARALLEL_RUNS as u64) * ss;
let zz: u64;
match compute_ss_zz(n, m) {
Ok((_, zz_res)) => zz = zz_res,
_ => return false,
};
for response_chunk in &self.responses_chunks {
if response_chunk >= &zz {
@@ -411,7 +436,7 @@ impl ProofOfChunking {
random_oracle_builder.update(lambda_e.to_be_bytes());
let mut oracle = rand_chacha::ChaCha20Rng::from_seed(random_oracle_builder.finalize());
let range_max_excl = 1 << NUM_CHALLENGE_BITS;
let range_max_excl = EE as u64;
(0..n)
.map(|_| {
@@ -637,6 +662,50 @@ impl ProofOfChunking {
}
}
fn compute_ss_zz(n: usize, m: usize) -> Result<(u64, u64), DkgError> {
// let ss = (n * m * (CHUNK_SIZE - 1) * (ee - 1)) as u64;
// CHUNK_MAX corresponds to paper's B
let ee = EE;
let ss = n
.checked_mul(m)
.ok_or(DkgError::ArithmeticOverflow {
info: "ProofOfChunking::compute_ss_zz | n * m",
})?
.checked_mul(
CHUNK_SIZE
.checked_sub(1)
.ok_or(DkgError::ArithmeticUnderflow {
info: "ProofOfChunking::compute_ss_zz | (CHUNK_SIZE - 1)",
})?
.checked_mul(ee.checked_sub(1).ok_or(DkgError::ArithmeticUnderflow {
info: "ProofOfChunking::compute_ss_zz | (ee - 1)",
})?)
.ok_or(DkgError::ArithmeticOverflow {
info: "ProofOfChunking::compute_ss_zz | (CHUNK_SIZE - 1) * (ee - 1)",
})?,
)
.ok_or(DkgError::ArithmeticOverflow {
info: "ProofOfChunking::compute_ss_zz | ss_lhs * ss_rhs",
})? as u64;
// let zz = 2 * PARALLEL_RUNS as u64 * ss;
// Z = 2 * l * S
let zz = 2u64
.checked_mul(PARALLEL_RUNS as u64)
.ok_or(DkgError::ArithmeticOverflow {
info: "ProofOfChunking::compute_ss_zz | 2 * l",
})?
.checked_mul(ss)
.ok_or(DkgError::ArithmeticOverflow {
info: "ProofOfChunking::compute_ss_zz | (2 * l) * S",
})?;
Ok((ss, zz))
}
#[cfg(test)]
mod tests {
use super::*;
+6
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@@ -99,6 +99,12 @@ pub enum DkgError {
"The reshared dealing has different public constant coefficient than its prior variant"
)]
InvalidResharing,
#[error("Arithmetic Overflow: {info}")]
ArithmeticOverflow { info: &'static str },
#[error("Arithmetic Underflow: {info}")]
ArithmeticUnderflow { info: &'static str },
}
impl DkgError {