Files
serai/crypto/ed448/src/field.rs
Luke Parker 334873b6a5 Use crypto-bigint's reduction in ed448
Achieves feasible performance in the ed448 which makes it potentially viable
for real world usage.

Accordingly prepares a new release, updating the README.
2023-04-19 03:35:57 -04:00

67 lines
1.9 KiB
Rust

use zeroize::Zeroize;
use crypto_bigint::{U512, U1024};
/// Ed448 field element.
#[derive(Clone, Copy, PartialEq, Eq, Default, Debug, Zeroize)]
pub struct FieldElement(pub(crate) U512);
const MODULUS_PADDED_STR: &str = concat!(
"00000000000000",
"00",
"fffffffffffffffffffffffffffffffffffffffffffffffffffffffe",
"ffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
);
const MODULUS_STR: &str = concat!(
"fffffffffffffffffffffffffffffffffffffffffffffffffffffffe",
"ffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
);
// 2**448 - 2**224 - 1
pub(crate) const MODULUS: FieldElement = FieldElement(U512::from_be_hex(concat!(
"00000000000000",
"00",
"fffffffffffffffffffffffffffffffffffffffffffffffffffffffe",
"ffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
)));
const WIDE_MODULUS: U1024 = U1024::from_be_hex(concat!(
"0000000000000000000000000000000000000000000000000000000000000000",
"0000000000000000000000000000000000000000000000000000000000000000",
"00000000000000",
"00",
"fffffffffffffffffffffffffffffffffffffffffffffffffffffffe",
"ffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
));
pub(crate) const Q_4: FieldElement =
FieldElement(MODULUS.0.saturating_add(&U512::ONE).wrapping_div(&U512::from_u8(4)));
field!(
FieldElement,
MODULUS_PADDED_STR,
MODULUS_STR,
MODULUS,
WIDE_MODULUS,
448,
concat!(
"00000000000000000000000000000000000000000000000000000080ffffffff",
"ffffffffffffffffffffffffffffffffffffffffffffff7f0000000000000000",
),
7,
concat!(
"fefffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffff",
"ffffffffffffffffffffffffffffffffffffffffffffffff0000000000000000",
),
concat!(
"3100000000000000000000000000000000000000000000000000000000000000",
"0000000000000000000000000000000000000000000000000000000000000000",
),
);
#[test]
fn test_field() {
ff_group_tests::prime_field::test_prime_field_bits::<_, FieldElement>(&mut rand_core::OsRng);
}