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#![cfg_attr(docsrs, feature(doc_auto_cfg))]
#![doc = include_str!("../README.md")]
#![cfg_attr(not(feature = "std"), no_std)]
use core::ops::Deref;
#[cfg(not(feature = "std"))]
#[macro_use]
extern crate alloc;
use std_shims::{
vec::Vec,
io::{self, Read, Write},
};
use rand_core::{RngCore, CryptoRng};
use zeroize::{Zeroize, Zeroizing};
use ciphersuite::{
group::{
ff::{Field, PrimeField},
Group, GroupEncoding,
},
Ciphersuite,
};
use multiexp::{multiexp_vartime, BatchVerifier};
/// Half-aggregation from <https://eprint.iacr.org/2021/350>.
pub mod aggregate;
#[cfg(test)]
mod tests;
/// A Schnorr signature of the form (R, s) where s = r + cx.
///
/// These are intended to be strict. It is generic over Ciphersuite which is for PrimeGroups,
/// and mandates canonical encodings in its read function.
///
/// RFC 8032 has an alternative verification formula, 8R = 8s - 8cX, which is intended to handle
/// torsioned nonces/public keys. Due to this library's strict requirements, such signatures will
/// not be verifiable with this library.
#[allow(non_snake_case)]
#[derive(Clone, Copy, PartialEq, Eq, Debug, Zeroize)]
pub struct SchnorrSignature<C: Ciphersuite> {
pub R: C::G,
pub s: C::F,
}
impl<C: Ciphersuite> SchnorrSignature<C> {
/// Read a SchnorrSignature from something implementing Read.
pub fn read<R: Read>(reader: &mut R) -> io::Result<Self> {
Ok(SchnorrSignature { R: C::read_G(reader)?, s: C::read_F(reader)? })
}
/// Write a SchnorrSignature to something implementing Read.
pub fn write<W: Write>(&self, writer: &mut W) -> io::Result<()> {
writer.write_all(self.R.to_bytes().as_ref())?;
writer.write_all(self.s.to_repr().as_ref())
}
/// Serialize a SchnorrSignature, returning a `Vec<u8>`.
pub fn serialize(&self) -> Vec<u8> {
let mut buf = vec![];
self.write(&mut buf).unwrap();
buf
}
/// Sign a Schnorr signature with the given nonce for the specified challenge.
///
/// This challenge must be properly crafted, which means being binding to the public key, nonce,
/// and any message. Failure to do so will let a malicious adversary to forge signatures for
/// different keys/messages.
#[allow(clippy::needless_pass_by_value)] // Prevents further-use of this single-use value
pub fn sign(
private_key: &Zeroizing<C::F>,
nonce: Zeroizing<C::F>,
challenge: C::F,
) -> SchnorrSignature<C> {
SchnorrSignature {
// Uses deref instead of * as * returns C::F yet deref returns &C::F, preventing a copy
R: C::generator() * nonce.deref(),
s: (challenge * private_key.deref()) + nonce.deref(),
}
}
/// Return the series of pairs whose products sum to zero for a valid signature.
/// This is intended to be used with a multiexp.
pub fn batch_statements(&self, public_key: C::G, challenge: C::F) -> [(C::F, C::G); 3] {
// s = r + ca
// sG == R + cA
// R + cA - sG == 0
[
// R
(C::F::ONE, self.R),
// cA
(challenge, public_key),
// -sG
(-self.s, C::generator()),
]
}
/// Verify a Schnorr signature for the given key with the specified challenge.
///
/// This challenge must be properly crafted, which means being binding to the public key, nonce,
/// and any message. Failure to do so will let a malicious adversary to forge signatures for
/// different keys/messages.
#[must_use]
pub fn verify(&self, public_key: C::G, challenge: C::F) -> bool {
multiexp_vartime(&self.batch_statements(public_key, challenge)).is_identity().into()
}
/// Queue a signature for batch verification.
///
/// This challenge must be properly crafted, which means being binding to the public key, nonce,
/// and any message. Failure to do so will let a malicious adversary to forge signatures for
/// different keys/messages.
pub fn batch_verify<R: RngCore + CryptoRng, I: Copy + Zeroize>(
&self,
rng: &mut R,
batch: &mut BatchVerifier<I, C::G>,
id: I,
public_key: C::G,
challenge: C::F,
) {
batch.queue(rng, id, self.batch_statements(public_key, challenge));
}
}