Merge GroupWithMapToCurve into Group (#219)

* Merge `GroupWithMapToCurve` into `Group`

* Remove `hash_to_curve`

* Ristretto improvements

* P-256 improvements
This commit is contained in:
daxpedda
2021-08-01 17:48:56 -07:00
committed by GitHub
parent a169d8a1c5
commit 10a38bc58b
10 changed files with 136 additions and 195 deletions
+189
View File
@@ -0,0 +1,189 @@
// Copyright (c) Facebook, Inc. and its affiliates.
//
// This source code is licensed under the MIT license found in the
// LICENSE file in the root directory of this source tree.
use crate::errors::{InternalPakeError, ProtocolError};
use crate::hash::Hash;
use crate::serialization::i2osp;
use digest::{BlockInput, Digest};
use generic_array::typenum::Unsigned;
// Computes ceil(x / y)
fn div_ceil(x: usize, y: usize) -> usize {
let additive = (x % y != 0) as usize;
x / y + additive
}
fn xor(x: &[u8], y: &[u8]) -> Result<Vec<u8>, InternalPakeError> {
if x.len() != y.len() {
return Err(InternalPakeError::HashToCurveError);
}
Ok(x.iter().zip(y).map(|(&x1, &x2)| x1 ^ x2).collect())
}
/// Corresponds to the expand_message_xmd() function defined in
/// <https://www.ietf.org/archive/id/draft-irtf-cfrg-hash-to-curve-10.txt>
pub fn expand_message_xmd<H: Hash>(
msg: &[u8],
dst: &[u8],
len_in_bytes: usize,
) -> Result<Vec<u8>, ProtocolError> {
let b_in_bytes = <H as Digest>::OutputSize::to_usize();
let r_in_bytes = <H as BlockInput>::BlockSize::to_usize();
let ell = div_ceil(len_in_bytes, b_in_bytes);
if ell > 255 {
return Err(InternalPakeError::HashToCurveError.into());
}
let dst_prime = [dst, &i2osp(dst.len(), 1)?].concat();
let z_pad = i2osp(0, r_in_bytes)?;
let l_i_b_str = i2osp(len_in_bytes, 2)?;
let msg_prime = [&z_pad, msg, &l_i_b_str, &i2osp(0, 1)?, &dst_prime].concat();
let mut b: Vec<Vec<u8>> = vec![H::digest(&msg_prime).to_vec()]; // b[0]
let mut h = H::new();
h.update(&b[0]);
h.update(&i2osp(1, 1)?);
h.update(&dst_prime);
b.push(h.finalize_reset().to_vec()); // b[1]
let mut uniform_bytes: Vec<u8> = Vec::new();
uniform_bytes.extend_from_slice(&b[1]);
for i in 2..(ell + 1) {
h.update(xor(&b[0], &b[i - 1])?);
h.update(&i2osp(i, 1)?);
h.update(&dst_prime);
b.push(h.finalize_reset().to_vec()); // b[i]
uniform_bytes.extend_from_slice(&b[i]);
}
Ok(uniform_bytes[..len_in_bytes].to_vec())
}
#[cfg(test)]
mod tests {
struct Params {
msg: &'static str,
len_in_bytes: usize,
uniform_bytes: &'static str,
}
#[test]
fn test_expand_message_xmd() {
// Test vectors taken from Section K.1 of https://www.ietf.org/archive/id/draft-irtf-cfrg-hash-to-curve-10.txt
let test_vectors: Vec<Params> = vec![
Params {
msg: "",
len_in_bytes: 0x20,
uniform_bytes: "f659819a6473c1835b25ea59e3d38914c98b374f0970b7e4c\
92181df928fca88",
},
Params {
msg: "abc",
len_in_bytes: 0x20,
uniform_bytes: "1c38f7c211ef233367b2420d04798fa4698080a8901021a79\
5a1151775fe4da7",
},
Params {
msg: "abcdef0123456789",
len_in_bytes: 0x20,
uniform_bytes: "8f7e7b66791f0da0dbb5ec7c22ec637f79758c0a48170bfb7c4611bd304ece89",
},
Params {
msg: "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq\
qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq\
qqqqqqqqqqqqqqqqqqqqqqqqq",
len_in_bytes: 0x20,
uniform_bytes: "72d5aa5ec810370d1f0013c0df2f1d65699494ee2a39f72e\
1716b1b964e1c642",
},
Params {
msg: "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
len_in_bytes: 0x20,
uniform_bytes: "3b8e704fc48336aca4c2a12195b720882f2162a4b7b13a9c\
350db46f429b771b",
},
Params {
msg: "",
len_in_bytes: 0x80,
uniform_bytes: "8bcffd1a3cae24cf9cd7ab85628fd111bb17e3739d3b53f8\
9580d217aa79526f1708354a76a402d3569d6a9d19ef3de4d0b991\
e4f54b9f20dcde9b95a66824cbdf6c1a963a1913d43fd7ac443a02\
fc5d9d8d77e2071b86ab114a9f34150954a7531da568a1ea8c7608\
61c0cde2005afc2c114042ee7b5848f5303f0611cf297f",
},
Params {
msg: "abc",
len_in_bytes: 0x80,
uniform_bytes: "fe994ec51bdaa821598047b3121c149b364b178606d5e72b\
fbb713933acc29c186f316baecf7ea22212f2496ef3f785a27e84a\
40d8b299cec56032763eceeff4c61bd1fe65ed81decafff4a31d01\
98619c0aa0c6c51fca15520789925e813dcfd318b542f879944127\
1f4db9ee3b8092a7a2e8d5b75b73e28fb1ab6b4573c192",
},
Params {
msg: "abcdef0123456789",
len_in_bytes: 0x80,
uniform_bytes: "c9ec7941811b1e19ce98e21db28d22259354d4d0643e3011\
75e2f474e030d32694e9dd5520dde93f3600d8edad94e5c3649030\
88a7228cc9eff685d7eaac50d5a5a8229d083b51de4ccc3733917f\
4b9535a819b445814890b7029b5de805bf62b33a4dc7e24acdf2c9\
24e9fe50d55a6b832c8c84c7f82474b34e48c6d43867be",
},
Params {
msg: "q128_qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq\
qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq\
qqqqqqqqqqqqqqqqqqqqqqqqq",
len_in_bytes: 0x80,
uniform_bytes: "48e256ddba722053ba462b2b93351fc966026e6d6db49318\
9798181c5f3feea377b5a6f1d8368d7453faef715f9aecb078cd40\
2cbd548c0e179c4ed1e4c7e5b048e0a39d31817b5b24f50db58bb3\
720fe96ba53db947842120a068816ac05c159bb5266c63658b4f00\
0cbf87b1209a225def8ef1dca917bcda79a1e42acd8069",
},
Params {
msg: "a512_aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
len_in_bytes: 0x80,
uniform_bytes: "396962db47f749ec3b5042ce2452b619607f27fd3939ece2\
746a7614fb83a1d097f554df3927b084e55de92c7871430d6b95c2\
a13896d8a33bc48587b1f66d21b128a1a8240d5b0c26dfe795a1a8\
42a0807bb148b77c2ef82ed4b6c9f7fcb732e7f94466c8b51e52bf\
378fba044a31f5cb44583a892f5969dcd73b3fa128816e",
},
];
let dst = "QUUX-V01-CS02-with-expander";
for tv in test_vectors {
let uniform_bytes = super::expand_message_xmd::<sha2::Sha256>(
tv.msg.as_bytes(),
dst.as_bytes(),
tv.len_in_bytes,
)
.unwrap();
assert_eq!(tv.uniform_bytes, hex::encode(uniform_bytes));
}
}
}
+21 -14
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@@ -6,14 +6,14 @@
//! Defines the Group trait to specify the underlying prime order group used in
//! OPAQUE's OPRF
mod expand;
#[cfg(feature = "p256")]
pub(crate) mod p256;
mod ristretto;
use crate::errors::InternalPakeError;
use crate::errors::{InternalPakeError, ProtocolError};
use crate::hash::Hash;
use generic_array::{ArrayLength, GenericArray};
use rand::{CryptoRng, RngCore};
use std::ops::Mul;
use zeroize::Zeroize;
@@ -21,6 +21,24 @@ use zeroize::Zeroize;
/// A prime-order subgroup of a base field (EC, prime-order field ...). This
/// subgroup is noted additively — as in the draft RFC — in this trait.
pub trait Group: Copy + Sized + for<'a> Mul<&'a <Self as Group>::Scalar, Output = Self> {
/// The ciphersuite identifier as dictated by
/// <https://www.ietf.org/archive/id/draft-irtf-cfrg-voprf-05.txt>
const SUITE_ID: usize;
/// transforms a password and domain separation tag (DST) into a curve point
fn map_to_curve<H: Hash>(msg: &[u8], dst: &[u8]) -> Result<Self, ProtocolError>;
/// Hashes a slice of pseudo-random bytes to a scalar
fn hash_to_scalar<H: Hash>(input: &[u8], dst: &[u8]) -> Result<Self::Scalar, ProtocolError>;
/// Generates the contextString parameter as defined in
/// <https://www.ietf.org/archive/id/draft-irtf-cfrg-voprf-05.txt>
fn get_context_string(mode: u8) -> Result<Vec<u8>, ProtocolError> {
use crate::serialization::i2osp;
Ok([i2osp(mode as usize, 1)?, i2osp(Self::SUITE_ID, 2)?].concat())
}
/// The type of base field scalars
type Scalar: Zeroize + Copy;
/// The byte length necessary to represent scalars
@@ -45,17 +63,6 @@ pub trait Group: Copy + Sized + for<'a> Mul<&'a <Self as Group>::Scalar, Output
/// Serializes the `self` group element
fn to_arr(&self) -> GenericArray<u8, Self::ElemLen>;
/// Hashes points presumed to be uniformly random to the curve. The
/// impl is allowed to perform additional hashes if it needs to, but this
/// may not be necessary as this function is going to be called with the
/// output of a kdf.
type UniformBytesLen: ArrayLength<u8>;
/// Hashes a slice of pseudo-random bytes of the correct length to a curve point
fn hash_to_curve(
uniform_bytes: &GenericArray<u8, Self::UniformBytesLen>,
) -> Result<Self, InternalPakeError>;
/// Get the base point for the group
fn base_point() -> Self;
+61 -42
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@@ -8,10 +8,10 @@
clippy::declare_interior_mutable_const
)]
use std::ops::Mul;
use std::str::FromStr;
use generic_array::typenum::{U32, U33, U96};
use super::Group;
use crate::errors::{InternalPakeError, ProtocolError};
use crate::hash::Hash;
use generic_array::typenum::{U32, U33};
use generic_array::{ArrayLength, GenericArray};
use num_bigint::{BigInt, Sign};
use num_integer::Integer;
@@ -24,11 +24,8 @@ use p256_::elliptic_curve::subtle::ConstantTimeEq;
use p256_::elliptic_curve::Field;
use p256_::{AffinePoint, EncodedPoint, ProjectivePoint};
use rand::{CryptoRng, RngCore};
use std::ops::{Add, Div, Neg, Sub};
use crate::errors::InternalPakeError;
use super::Group;
use std::ops::{Add, Div, Mul, Neg, Sub};
use std::str::FromStr;
// https://datatracker.ietf.org/doc/html/draft-irtf-cfrg-hash-to-curve-11#section-8.2
// `p: 2^256 - 2^224 + 2^192 + 2^96 - 1`
@@ -54,7 +51,7 @@ pub const L: usize = 48;
const Z: Lazy<BigInt> = Lazy::new(|| BigInt::from(-10));
// https://nvlpubs.nist.gov/nistpubs/FIPS/NIST.FIPS.186-4.pdf#[{%22num%22:211,%22gen%22:0},{%22name%22:%22XYZ%22},70,700,0]
// P-256 `n` is defined as `115792089210356248762697446949407573529996955224135760342 422259061068512044369`
pub const R: Lazy<BigInt> = Lazy::new(|| {
pub const N: Lazy<BigInt> = Lazy::new(|| {
BigInt::from_str(
"115792089210356248762697446949407573529996955224135760342422259061068512044369",
)
@@ -63,10 +60,57 @@ pub const R: Lazy<BigInt> = Lazy::new(|| {
#[cfg(feature = "p256")]
impl Group for ProjectivePoint {
const SUITE_ID: usize = 0x0003;
// Implements the `hash_to_curve()` function from
// https://datatracker.ietf.org/doc/html/draft-irtf-cfrg-hash-to-curve-11#section-3
fn map_to_curve<H: Hash>(msg: &[u8], dst: &[u8]) -> Result<Self, ProtocolError> {
// https://datatracker.ietf.org/doc/html/draft-irtf-cfrg-hash-to-curve-11#section-3
// `hash_to_curve` calls `hash_to_field` with a `count` of `2`
// https://datatracker.ietf.org/doc/html/draft-irtf-cfrg-hash-to-curve-11#section-5.3
// `hash_to_field` calls `expand_message` with a `len_in_bytes` of `count * L`
let uniform_bytes =
super::expand::expand_message_xmd::<H>(msg, dst, 2 * crate::group::p256::L)?;
// map to curve
let (q0x, q0y) = map_to_curve_simple_swu(&uniform_bytes[..L], &A, &B, &P, &Z);
let (q1x, q1y) = map_to_curve_simple_swu(&uniform_bytes[L..], &A, &B, &P, &Z);
// convert to `p256` types
let p0 = AffinePoint::from_encoded_point(&EncodedPoint::from_affine_coordinates(
&q0x, &q0y, false,
))
.ok_or(InternalPakeError::PointError)?
.to_curve();
let p1 = AffinePoint::from_encoded_point(&EncodedPoint::from_affine_coordinates(
&q1x, &q1y, false,
))
.ok_or(InternalPakeError::PointError)?;
Ok(p0 + p1)
}
// Implements the `HashToScalar()` function from
// https://www.ietf.org/archive/id/draft-irtf-cfrg-voprf-07.html#section-4.3
fn hash_to_scalar<H: Hash>(input: &[u8], dst: &[u8]) -> Result<Self::Scalar, ProtocolError> {
// https://datatracker.ietf.org/doc/html/draft-irtf-cfrg-hash-to-curve-11#section-5.3
// `HashToScalar` is `hash_to_field`
let uniform_bytes =
super::expand::expand_message_xmd::<H>(input, dst, crate::group::p256::L)?;
let mut bytes = BigInt::from_bytes_be(Sign::Plus, &uniform_bytes)
.mod_floor(&crate::group::p256::N)
.to_bytes_be()
.1;
bytes.resize(32, 0);
Ok(p256_::Scalar::from_bytes_reduced(GenericArray::from_slice(
&bytes,
)))
}
type ElemLen = U33;
type Scalar = p256_::Scalar;
type ScalarLen = U32;
type UniformBytesLen = U96;
fn from_scalar_slice(
scalar_bits: &GenericArray<u8, Self::ScalarLen>,
@@ -95,32 +139,7 @@ impl Group for ProjectivePoint {
fn to_arr(&self) -> GenericArray<u8, Self::ElemLen> {
let mut bytes = self.to_affine().to_encoded_point(true).as_bytes().to_vec();
bytes.resize(33, 0);
GenericArray::clone_from_slice(&bytes)
}
fn hash_to_curve(
uniform_bytes: &GenericArray<u8, Self::UniformBytesLen>,
) -> Result<Self, InternalPakeError> {
// extract points
let u0 = BigInt::from_bytes_be(Sign::Plus, &uniform_bytes[0..L]);
let u1 = BigInt::from_bytes_be(Sign::Plus, &uniform_bytes[L..L * 2]);
// map to curve
let (q0x, q0y) = map_to_curve_simple_swu(&u0, &A, &B, &P, &Z);
let (q1x, q1y) = map_to_curve_simple_swu(&u1, &A, &B, &P, &Z);
// convert to `p256` types
let p0 = AffinePoint::from_encoded_point(&EncodedPoint::from_affine_coordinates(
&q0x, &q0y, false,
))
.ok_or(InternalPakeError::PointError)?
.to_curve();
let p1 = AffinePoint::from_encoded_point(&EncodedPoint::from_affine_coordinates(
&q1x, &q1y, false,
))
.ok_or(InternalPakeError::PointError)?;
Ok(p0 + p1)
*GenericArray::from_slice(&bytes)
}
fn base_point() -> Self {
@@ -143,7 +162,7 @@ impl Group for ProjectivePoint {
/// <https://datatracker.ietf.org/doc/html/draft-irtf-cfrg-hash-to-curve-11#appendix-F.2>
#[allow(clippy::many_single_char_names)]
fn map_to_curve_simple_swu<N: ArrayLength<u8>>(
u: &BigInt,
u: &[u8],
a: &BigInt,
b: &BigInt,
p: &BigInt,
@@ -318,7 +337,7 @@ fn map_to_curve_simple_swu<N: ArrayLength<u8>>(
let a = f.element(a);
let b = f.element(b);
let z = f.element(z);
let u = f.element(u);
let u = f.element(&BigInt::from_bytes_be(Sign::Plus, u));
// Constants:
// 1. c1 = -B / A
@@ -463,7 +482,7 @@ mod tests {
let dst = "QUUX-V01-CS02-with-P256_XMD:SHA-256_SSWU_RO_";
for tv in test_vectors {
let uniform_bytes = crate::map_to_curve::expand_message_xmd::<sha2::Sha256>(
let uniform_bytes = super::super::expand::expand_message_xmd::<sha2::Sha256>(
tv.msg.as_bytes(),
dst.as_bytes(),
96,
@@ -476,8 +495,8 @@ mod tests {
assert_eq!(BigInt::parse_bytes(tv.u0.as_bytes(), 16).unwrap(), u0);
assert_eq!(BigInt::parse_bytes(tv.u1.as_bytes(), 16).unwrap(), u1);
let (q0x, q0y) = super::map_to_curve_simple_swu(&u0, &A, &B, &P, &Z);
let (q1x, q1y) = super::map_to_curve_simple_swu(&u1, &A, &B, &P, &Z);
let (q0x, q0y) = super::map_to_curve_simple_swu(&u0.to_bytes_be().1, &A, &B, &P, &Z);
let (q1x, q1y) = super::map_to_curve_simple_swu(&u1.to_bytes_be().1, &A, &B, &P, &Z);
assert_eq!(tv.q0x, hex::encode(q0x));
assert_eq!(tv.q0y, hex::encode(q0y));
+38 -31
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@@ -3,34 +3,56 @@
// This source code is licensed under the MIT license found in the
// LICENSE file in the root directory of this source tree.
use crate::errors::InternalPakeError;
use super::Group;
use crate::errors::{InternalPakeError, ProtocolError};
use crate::hash::Hash;
use curve25519_dalek::{
constants::RISTRETTO_BASEPOINT_POINT,
ristretto::{CompressedRistretto, RistrettoPoint},
scalar::Scalar,
traits::Identity,
};
use generic_array::{
typenum::{U32, U64},
GenericArray,
};
use std::convert::TryInto;
use generic_array::{typenum::U32, GenericArray};
use rand::{CryptoRng, RngCore};
use super::Group;
use std::convert::TryInto;
use subtle::ConstantTimeEq;
/// The implementation of such a subgroup for Ristretto
impl Group for RistrettoPoint {
const SUITE_ID: usize = 0x0001;
// Implements the `hash_to_ristretto255()` function from
// https://www.ietf.org/archive/id/draft-irtf-cfrg-hash-to-curve-10.txt
fn map_to_curve<H: Hash>(msg: &[u8], dst: &[u8]) -> Result<Self, ProtocolError> {
let uniform_bytes = super::expand::expand_message_xmd::<H>(msg, dst, 64)?;
Ok(RistrettoPoint::from_uniform_bytes(
uniform_bytes
.as_slice()
.try_into()
.map_err(|_| InternalPakeError::HashToCurveError)?,
))
}
// Implements the `HashToScalar()` function from
// https://www.ietf.org/archive/id/draft-irtf-cfrg-voprf-07.html#section-4.1
fn hash_to_scalar<H: Hash>(input: &[u8], dst: &[u8]) -> Result<Self::Scalar, ProtocolError> {
let uniform_bytes = super::expand::expand_message_xmd::<H>(input, dst, 64)?;
Ok(Scalar::from_bytes_mod_order_wide(
uniform_bytes
.as_slice()
.try_into()
.map_err(|_| InternalPakeError::HashToCurveError)?,
))
}
type Scalar = Scalar;
type ScalarLen = U32;
fn from_scalar_slice(
scalar_bits: &GenericArray<u8, Self::ScalarLen>,
) -> Result<Self::Scalar, InternalPakeError> {
let mut bits = [0u8; 32];
bits.copy_from_slice(scalar_bits);
Ok(Scalar::from_bytes_mod_order(bits))
Ok(Scalar::from_bytes_mod_order(*scalar_bits.as_ref()))
}
fn random_nonzero_scalar<R: RngCore + CryptoRng>(rng: &mut R) -> Self::Scalar {
loop {
@@ -74,21 +96,7 @@ impl Group for RistrettoPoint {
}
// serialization of a group element
fn to_arr(&self) -> GenericArray<u8, Self::ElemLen> {
let c = self.compress();
*GenericArray::from_slice(c.as_bytes())
}
type UniformBytesLen = U64;
fn hash_to_curve(
uniform_bytes: &GenericArray<u8, Self::UniformBytesLen>,
) -> Result<Self, InternalPakeError> {
// https://caniuse.rs/features/array_gt_32_impls
let bits: [u8; 64] = {
let mut bytes = [0u8; 64];
bytes.copy_from_slice(uniform_bytes);
bytes
};
Ok(RistrettoPoint::from_uniform_bytes(&bits))
self.compress().to_bytes().into()
}
fn base_point() -> Self {
@@ -96,8 +104,7 @@ impl Group for RistrettoPoint {
}
fn mult_by_slice(&self, scalar: &GenericArray<u8, Self::ScalarLen>) -> Self {
let arr: [u8; 32] = scalar.as_slice().try_into().expect("Wrong length");
self * Scalar::from_bits(arr)
self * Scalar::from_bits(*scalar.as_ref())
}
/// Returns if the group element is equal to the identity (1)
@@ -106,6 +113,6 @@ impl Group for RistrettoPoint {
}
fn ct_equal(&self, other: &Self) -> bool {
constant_time_eq::constant_time_eq(&self.to_arr(), &other.to_arr())
ConstantTimeEq::ct_eq(self, other).into()
}
}