Use U448 for Ed448 instead of U512

This commit is contained in:
Luke Parker
2023-05-09 04:12:13 -04:00
parent 219adc7657
commit 029b6c53a1
5 changed files with 52 additions and 75 deletions

View File

@@ -1,18 +1,16 @@
use zeroize::{DefaultIsZeroes, Zeroize};
use crypto_bigint::{
U512, U1024,
U448, U896,
modular::constant_mod::{ResidueParams, Residue},
};
const MODULUS_PADDED_STR: &str = concat!(
"00000000000000",
"00",
const MODULUS_STR: &str = concat!(
"fffffffffffffffffffffffffffffffffffffffffffffffffffffffe",
"ffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
);
impl_modulus!(FieldModulus, U512, MODULUS_PADDED_STR);
impl_modulus!(FieldModulus, U448, MODULUS_STR);
pub(crate) type ResidueType = Residue<FieldModulus, { FieldModulus::LIMBS }>;
/// Ed448 field element.
@@ -21,30 +19,18 @@ pub struct FieldElement(pub(crate) ResidueType);
impl DefaultIsZeroes for FieldElement {}
const MODULUS_STR: &str = concat!(
"fffffffffffffffffffffffffffffffffffffffffffffffffffffffe",
"ffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
);
// 2**448 - 2**224 - 1
pub(crate) const MODULUS: U512 = U512::from_be_hex(concat!(
"00000000000000",
"00",
"fffffffffffffffffffffffffffffffffffffffffffffffffffffffe",
"ffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
));
pub(crate) const MODULUS: U448 = U448::from_be_hex(MODULUS_STR);
const WIDE_MODULUS: U1024 = U1024::from_be_hex(concat!(
"0000000000000000000000000000000000000000000000000000000000000000",
"0000000000000000000000000000000000000000000000000000000000000000",
"00000000000000",
"00",
const WIDE_MODULUS: U896 = U896::from_be_hex(concat!(
"00000000000000000000000000000000000000000000000000000000",
"00000000000000000000000000000000000000000000000000000000",
"fffffffffffffffffffffffffffffffffffffffffffffffffffffffe",
"ffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
));
pub(crate) const Q_4: FieldElement = FieldElement(ResidueType::new(
&MODULUS.saturating_add(&U512::ONE).wrapping_div(&U512::from_u8(4)),
&MODULUS.saturating_add(&U448::ONE).wrapping_div(&U448::from_u8(4)),
));
field!(
@@ -56,8 +42,8 @@ field!(
448,
7,
concat!(
"3100000000000000000000000000000000000000000000000000000000000000",
"0000000000000000000000000000000000000000000000000000000000000000",
"31000000000000000000000000000000000000000000000000000000",
"00000000000000000000000000000000000000000000000000000000",
),
);