From 2a6db2a98023e4843e53a289e8f8e39850cef4a9 Mon Sep 17 00:00:00 2001 From: Brian Lawrence Date: Fri, 27 Sep 2024 21:01:01 -0700 Subject: [PATCH] Schnorr sigs, initial commit --- .gitignore | 1 + Cargo.lock | 594 ++++++++++++++++++++++++++++++++++++++++++++++++++++ Cargo.toml | 9 + src/main.rs | 122 +++++++++++ 4 files changed, 726 insertions(+) create mode 100644 .gitignore create mode 100644 Cargo.lock create mode 100644 Cargo.toml create mode 100644 src/main.rs diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..ea8c4bf --- /dev/null +++ b/.gitignore @@ -0,0 +1 @@ +/target diff --git a/Cargo.lock b/Cargo.lock new file mode 100644 index 0000000..b41887c --- /dev/null +++ b/Cargo.lock @@ -0,0 +1,594 @@ +# This file is automatically @generated by Cargo. +# It is not intended for manual editing. +version = 3 + +[[package]] +name = "ahash" +version = "0.8.11" +source = "registry+https://github.com/rust-lang/crates.io-index" +checksum = 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plonky2::plonk::config::Hasher; +use plonky2::field::types::PrimeField64; +use rand; +use rand::Rng; + +const BIG_GROUP_GEN: GoldilocksField = GoldilocksField(14293326489335486720); + +struct SchnorrSigner { + PRIME_GROUP_GEN: GoldilocksField, + PRIME_GROUP_ORDER: u64, +} + +struct SchnorrSecretKey { + sk: u64, +} + +struct SchnorrPublicKey { + pk: GoldilocksField, +} + +struct SchnorrSignature { + s: u64, + e: u64, +} + +impl SchnorrSigner{ + fn new() -> Self { + let quotient_order: u64 = (1 << 48) - (1 << 32); + let PRIME_GROUP_GEN: GoldilocksField = Self::pow(BIG_GROUP_GEN, quotient_order); + let PRIME_GROUP_ORDER: u64 = (1 << 32) + 1; + SchnorrSigner{PRIME_GROUP_GEN, PRIME_GROUP_ORDER} + } + + fn pow(x: GoldilocksField, a: u64) -> GoldilocksField { + let mut a_copy = a; + let mut res = GoldilocksField(1); + let mut x_pow_2n = x.clone(); + while (a_copy > 0) { + if (a_copy % 2 != 0) { + res *= x_pow_2n; + } + a_copy /= 2; + x_pow_2n *= x_pow_2n; + } + res + } + + fn keygen(&self, sk: SchnorrSecretKey) -> SchnorrPublicKey { + let pk: GoldilocksField = Self::pow(self.PRIME_GROUP_GEN, sk.sk); + SchnorrPublicKey{pk: pk} + } + + fn hash_insecure(&self, r: &GoldilocksField, msg: &Vec) -> u64 { + let poseidon_input: Vec = std::iter::once(r) + .chain(msg.iter()) + .copied() + .collect(); + + println!("Running hash on concatenated elts: {:?}", poseidon_input); + let h = PoseidonHash::hash_no_pad(&poseidon_input); + h.elements[0].to_canonical_u64() % self.PRIME_GROUP_ORDER + } + + fn rand_group_multiplier(&self, rng: &mut rand::rngs::ThreadRng) -> u64 { + let group_order: u64 = (1 << 16) + 1; + rng.gen_range(0..group_order) + } + + fn sign(&self, msg: &Vec, sk: SchnorrSecretKey, rng: &mut rand::rngs::ThreadRng) -> SchnorrSignature { + let k: u64 = self.rand_group_multiplier(rng); + let r: GoldilocksField = Self::pow(self.PRIME_GROUP_GEN, k); + let e: u64 = self.hash_insecure(&r, msg); + assert!(k < self.PRIME_GROUP_ORDER); + assert!(sk < self.PRIME_GROUP_ORDER); + assert!(e < self.PRIME_GROUP_ORDER); + let mut s128: u128 = ((k as u128) + (sk.sk as u128) * (e as u128)); + s128 %= (self.PRIME_GROUP_ORDER as u128); + let s: u64 = s128 as u64; + SchnorrSignature{e, s} + } + + fn verify(&self, sig: SchnorrSignature, msg: &Vec, pk: SchnorrPublicKey) -> bool { + let r: GoldilocksField = Self::pow(self.PRIME_GROUP_GEN, sig.s) + * Self::pow(pk.pk, sig.e); + let e_v: u64 = self.hash_insecure(&r, msg); + e_v == sig.e + } +} + +fn main() { + println!("Hello, world!"); + + let mut rng: rand::rngs::ThreadRng = rand::thread_rng(); + + type F = GoldilocksField; + + let x = F::from_noncanonical_i64(3); + let h = PoseidonHash::hash_no_pad(&[x]); + println!("Hash is {:?}", h); +} + +#[cfg(test)] +mod tests { + use plonky2::field::goldilocks_field::GoldilocksField; + + use crate::SchnorrSigner; + + #[test] + fn test_pow() { + let g = GoldilocksField(3); + let res = GoldilocksField(16305451354880172407); + assert_eq!(res, SchnorrSigner::pow(g, 1234567)); + } + + #[test] + fn test_sig() { + println!("NOT IMPLEMENTED"); + } +} \ No newline at end of file