Brian Lawrence
6 months ago
commit
2a6db2a980
4 changed files with 726 additions and 0 deletions
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+1 -0.gitignore
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+594 -0Cargo.lock
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+9 -0Cargo.toml
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+122 -0src/main.rs
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checksum = "1465873a3dfdaa8ae7cb14b4383657caab0b3e8a0aa9ae8e04b044854c8dfce2" |
||||
|
dependencies = [ |
||||
|
"crossbeam-deque", |
||||
|
"crossbeam-utils", |
||||
|
] |
||||
|
|
||||
|
[[package]] |
||||
|
name = "sch" |
||||
|
version = "0.1.0" |
||||
|
dependencies = [ |
||||
|
"anyhow", |
||||
|
"plonky2", |
||||
|
"rand", |
||||
|
] |
||||
|
|
||||
|
[[package]] |
||||
|
name = "serde" |
||||
|
version = "1.0.210" |
||||
|
source = "registry+https://github.com/rust-lang/crates.io-index" |
||||
|
checksum = "c8e3592472072e6e22e0a54d5904d9febf8508f65fb8552499a1abc7d1078c3a" |
||||
|
dependencies = [ |
||||
|
"serde_derive", |
||||
|
] |
||||
|
|
||||
|
[[package]] |
||||
|
name = "serde_derive" |
||||
|
version = "1.0.210" |
||||
|
source = "registry+https://github.com/rust-lang/crates.io-index" |
||||
|
checksum = "243902eda00fad750862fc144cea25caca5e20d615af0a81bee94ca738f1df1f" |
||||
|
dependencies = [ |
||||
|
"proc-macro2", |
||||
|
"quote", |
||||
|
"syn 2.0.79", |
||||
|
] |
||||
|
|
||||
|
[[package]] |
||||
|
name = "static_assertions" |
||||
|
version = "1.1.0" |
||||
|
source = "registry+https://github.com/rust-lang/crates.io-index" |
||||
|
checksum = "a2eb9349b6444b326872e140eb1cf5e7c522154d69e7a0ffb0fb81c06b37543f" |
||||
|
|
||||
|
[[package]] |
||||
|
name = "syn" |
||||
|
version = "1.0.109" |
||||
|
source = "registry+https://github.com/rust-lang/crates.io-index" |
||||
|
checksum = "72b64191b275b66ffe2469e8af2c1cfe3bafa67b529ead792a6d0160888b4237" |
||||
|
dependencies = [ |
||||
|
"proc-macro2", |
||||
|
"quote", |
||||
|
"unicode-ident", |
||||
|
] |
||||
|
|
||||
|
[[package]] |
||||
|
name = "syn" |
||||
|
version = "2.0.79" |
||||
|
source = "registry+https://github.com/rust-lang/crates.io-index" |
||||
|
checksum = "89132cd0bf050864e1d38dc3bbc07a0eb8e7530af26344d3d2bbbef83499f590" |
||||
|
dependencies = [ |
||||
|
"proc-macro2", |
||||
|
"quote", |
||||
|
"unicode-ident", |
||||
|
] |
||||
|
|
||||
|
[[package]] |
||||
|
name = "tiny-keccak" |
||||
|
version = "2.0.2" |
||||
|
source = "registry+https://github.com/rust-lang/crates.io-index" |
||||
|
checksum = "2c9d3793400a45f954c52e73d068316d76b6f4e36977e3fcebb13a2721e80237" |
||||
|
dependencies = [ |
||||
|
"crunchy", |
||||
|
] |
||||
|
|
||||
|
[[package]] |
||||
|
name = "uint" |
||||
|
version = "0.9.5" |
||||
|
source = "registry+https://github.com/rust-lang/crates.io-index" |
||||
|
checksum = "76f64bba2c53b04fcab63c01a7d7427eadc821e3bc48c34dc9ba29c501164b52" |
||||
|
dependencies = [ |
||||
|
"byteorder", |
||||
|
"crunchy", |
||||
|
"hex", |
||||
|
"static_assertions", |
||||
|
] |
||||
|
|
||||
|
[[package]] |
||||
|
name = "unicode-ident" |
||||
|
version = "1.0.13" |
||||
|
source = "registry+https://github.com/rust-lang/crates.io-index" |
||||
|
checksum = "e91b56cd4cadaeb79bbf1a5645f6b4f8dc5bde8834ad5894a8db35fda9efa1fe" |
||||
|
|
||||
|
[[package]] |
||||
|
name = "unroll" |
||||
|
version = "0.1.5" |
||||
|
source = "registry+https://github.com/rust-lang/crates.io-index" |
||||
|
checksum = "5ad948c1cb799b1a70f836077721a92a35ac177d4daddf4c20a633786d4cf618" |
||||
|
dependencies = [ |
||||
|
"quote", |
||||
|
"syn 1.0.109", |
||||
|
] |
||||
|
|
||||
|
[[package]] |
||||
|
name = "version_check" |
||||
|
version = "0.9.5" |
||||
|
source = "registry+https://github.com/rust-lang/crates.io-index" |
||||
|
checksum = "0b928f33d975fc6ad9f86c8f283853ad26bdd5b10b7f1542aa2fa15e2289105a" |
||||
|
|
||||
|
[[package]] |
||||
|
name = "wasi" |
||||
|
version = "0.11.0+wasi-snapshot-preview1" |
||||
|
source = "registry+https://github.com/rust-lang/crates.io-index" |
||||
|
checksum = "9c8d87e72b64a3b4db28d11ce29237c246188f4f51057d65a7eab63b7987e423" |
||||
|
|
||||
|
[[package]] |
||||
|
name = "wasm-bindgen" |
||||
|
version = "0.2.93" |
||||
|
source = "registry+https://github.com/rust-lang/crates.io-index" |
||||
|
checksum = "a82edfc16a6c469f5f44dc7b571814045d60404b55a0ee849f9bcfa2e63dd9b5" |
||||
|
dependencies = [ |
||||
|
"cfg-if", |
||||
|
"once_cell", |
||||
|
"wasm-bindgen-macro", |
||||
|
] |
||||
|
|
||||
|
[[package]] |
||||
|
name = "wasm-bindgen-backend" |
||||
|
version = "0.2.93" |
||||
|
source = "registry+https://github.com/rust-lang/crates.io-index" |
||||
|
checksum = "9de396da306523044d3302746f1208fa71d7532227f15e347e2d93e4145dd77b" |
||||
|
dependencies = [ |
||||
|
"bumpalo", |
||||
|
"log", |
||||
|
"once_cell", |
||||
|
"proc-macro2", |
||||
|
"quote", |
||||
|
"syn 2.0.79", |
||||
|
"wasm-bindgen-shared", |
||||
|
] |
||||
|
|
||||
|
[[package]] |
||||
|
name = "wasm-bindgen-macro" |
||||
|
version = "0.2.93" |
||||
|
source = "registry+https://github.com/rust-lang/crates.io-index" |
||||
|
checksum = "585c4c91a46b072c92e908d99cb1dcdf95c5218eeb6f3bf1efa991ee7a68cccf" |
||||
|
dependencies = [ |
||||
|
"quote", |
||||
|
"wasm-bindgen-macro-support", |
||||
|
] |
||||
|
|
||||
|
[[package]] |
||||
|
name = "wasm-bindgen-macro-support" |
||||
|
version = "0.2.93" |
||||
|
source = "registry+https://github.com/rust-lang/crates.io-index" |
||||
|
checksum = "afc340c74d9005395cf9dd098506f7f44e38f2b4a21c6aaacf9a105ea5e1e836" |
||||
|
dependencies = [ |
||||
|
"proc-macro2", |
||||
|
"quote", |
||||
|
"syn 2.0.79", |
||||
|
"wasm-bindgen-backend", |
||||
|
"wasm-bindgen-shared", |
||||
|
] |
||||
|
|
||||
|
[[package]] |
||||
|
name = "wasm-bindgen-shared" |
||||
|
version = "0.2.93" |
||||
|
source = "registry+https://github.com/rust-lang/crates.io-index" |
||||
|
checksum = "c62a0a307cb4a311d3a07867860911ca130c3494e8c2719593806c08bc5d0484" |
||||
|
|
||||
|
[[package]] |
||||
|
name = "web-time" |
||||
|
version = "1.1.0" |
||||
|
source = "registry+https://github.com/rust-lang/crates.io-index" |
||||
|
checksum = "5a6580f308b1fad9207618087a65c04e7a10bc77e02c8e84e9b00dd4b12fa0bb" |
||||
|
dependencies = [ |
||||
|
"js-sys", |
||||
|
"wasm-bindgen", |
||||
|
] |
||||
|
|
||||
|
[[package]] |
||||
|
name = "zerocopy" |
||||
|
version = "0.7.35" |
||||
|
source = "registry+https://github.com/rust-lang/crates.io-index" |
||||
|
checksum = "1b9b4fd18abc82b8136838da5d50bae7bdea537c574d8dc1a34ed098d6c166f0" |
||||
|
dependencies = [ |
||||
|
"byteorder", |
||||
|
"zerocopy-derive", |
||||
|
] |
||||
|
|
||||
|
[[package]] |
||||
|
name = "zerocopy-derive" |
||||
|
version = "0.7.35" |
||||
|
source = "registry+https://github.com/rust-lang/crates.io-index" |
||||
|
checksum = "fa4f8080344d4671fb4e831a13ad1e68092748387dfc4f55e356242fae12ce3e" |
||||
|
dependencies = [ |
||||
|
"proc-macro2", |
||||
|
"quote", |
||||
|
"syn 2.0.79", |
||||
|
] |
||||
@ -0,0 +1,9 @@ |
|||||
|
[package] |
||||
|
name = "sch" |
||||
|
version = "0.1.0" |
||||
|
edition = "2021" |
||||
|
|
||||
|
[dependencies] |
||||
|
plonky2 = { git = "https://github.com/mir-protocol/plonky2" } |
||||
|
anyhow = "1.0.56" |
||||
|
rand = "0.8.5" |
||||
@ -0,0 +1,122 @@ |
|||||
|
use plonky2::hash::poseidon::PoseidonHash;
|
||||
|
use plonky2::field::goldilocks_field::GoldilocksField;
|
||||
|
use plonky2::field::types::Field;
|
||||
|
use 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<GoldilocksField>) -> u64 {
|
||||
|
let poseidon_input: Vec<GoldilocksField> = 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<GoldilocksField>, 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<GoldilocksField>, 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");
|
||||
|
}
|
||||
|
}
|
||||