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Update BLS12-381

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This commit is contained in:
Pratyush Mishra
2020-11-28 14:58:25 -08:00
parent 0445d45c07
commit b0565ad0c5
6 changed files with 98 additions and 416 deletions
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4
bls12_381/src/fields/fq.rs
View File

@@ -111,5 +111,5 @@ impl FpParameters for FqParameters {
]);
}
pub const FQ_ONE: Fq = field_new!(Fq, FqParameters::R);
pub const FQ_ZERO: Fq = field_new!(Fq, BigInteger([0, 0, 0, 0, 0, 0]));
pub const FQ_ONE: Fq = field_new!(Fq, "1");
pub const FQ_ZERO: Fq = field_new!(Fq, "0");

195
bls12_381/src/fields/fq12.rs
View File

@@ -1,5 +1,5 @@
use crate::*;
use ark_ff::{biginteger::BigInteger384, field_new, fields::*};
use ark_ff::{field_new, fields::*};
pub type Fq12 = Fp12<Fq12Parameters>;
@@ -11,183 +11,66 @@ impl Fp12Parameters for Fq12Parameters {
const NONRESIDUE: Fq6 = field_new!(Fq6, FQ2_ZERO, FQ2_ONE, FQ2_ZERO);
#[rustfmt::skip]
const FROBENIUS_COEFF_FP12_C1: &'static [Fq2] = &[
// Fq2(u + 1)**(((q^0) - 1) / 6)
FQ2_ONE,
// Fq2(u + 1)**(((q^1) - 1) / 6)
// Fp2::NONRESIDUE^(((q^0) - 1) / 6)
field_new!(Fq2,
field_new!(Fq, BigInteger384([
0x7089552b319d465,
0xc6695f92b50a8313,
0x97e83cccd117228f,
0xa35baecab2dc29ee,
0x1ce393ea5daace4d,
0x8f2220fb0fb66eb,
])),
field_new!(Fq, BigInteger384([
0xb2f66aad4ce5d646,
0x5842a06bfc497cec,
0xcf4895d42599d394,
0xc11b9cba40a8e8d0,
0x2e3813cbe5a0de89,
0x110eefda88847faf,
])),
field_new!(Fq, "1"),
field_new!(Fq, "0"),
),
// Fq2(u + 1)**(((q^2) - 1) / 6)
// Fp2::NONRESIDUE^(((q^1) - 1) / 6)
field_new!(Fq2,
field_new!(Fq, BigInteger384([
0xecfb361b798dba3a,
0xc100ddb891865a2c,
0xec08ff1232bda8e,
0xd5c13cc6f1ca4721,
0x47222a47bf7b5c04,
0x110f184e51c5f59,
])),
FQ_ZERO,
field_new!(Fq, "3850754370037169011952147076051364057158807420970682438676050522613628423219637725072182697113062777891589506424760"),
field_new!(Fq, "151655185184498381465642749684540099398075398968325446656007613510403227271200139370504932015952886146304766135027"),
),
// Fq2(u + 1)**(((q^3) - 1) / 6)
// Fp2::NONRESIDUE^(((q^2) - 1) / 6)
field_new!(Fq2,
field_new!(Fq, BigInteger384([
0x3e2f585da55c9ad1,
0x4294213d86c18183,
0x382844c88b623732,
0x92ad2afd19103e18,
0x1d794e4fac7cf0b9,
0xbd592fc7d825ec8,
])),
field_new!(Fq, BigInteger384([
0x7bcfa7a25aa30fda,
0xdc17dec12a927e7c,
0x2f088dd86b4ebef1,
0xd1ca2087da74d4a7,
0x2da2596696cebc1d,
0xe2b7eedbbfd87d2,
])),
field_new!(Fq, "793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620351"),
field_new!(Fq, "0"),
),
// Fq2(u + 1)**(((q^4) - 1) / 6)
// Fp2::NONRESIDUE^(((q^3) - 1) / 6)
field_new!(Fq2,
field_new!(Fq, BigInteger384([
0x30f1361b798a64e8,
0xf3b8ddab7ece5a2a,
0x16a8ca3ac61577f7,
0xc26a2ff874fd029b,
0x3636b76660701c6e,
0x51ba4ab241b6160,
])),
FQ_ZERO,
field_new!(Fq, "2973677408986561043442465346520108879172042883009249989176415018091420807192182638567116318576472649347015917690530"),
field_new!(Fq, "1028732146235106349975324479215795277384839936929757896155643118032610843298655225875571310552543014690878354869257"),
),
// Fq2(u + 1)**(((q^5) - 1) / 6)
// Fp2::NONRESIDUE^(((q^4) - 1) / 6)
field_new!(Fq2,
field_new!(Fq, BigInteger384([
0x3726c30af242c66c,
0x7c2ac1aad1b6fe70,
0xa04007fbba4b14a2,
0xef517c3266341429,
0x95ba654ed2226b,
0x2e370eccc86f7dd,
])),
field_new!(Fq, BigInteger384([
0x82d83cf50dbce43f,
0xa2813e53df9d018f,
0xc6f0caa53c65e181,
0x7525cf528d50fe95,
0x4a85ed50f4798a6b,
0x171da0fd6cf8eebd,
])),
field_new!(Fq, "793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620350"),
field_new!(Fq, "0"),
),
// Fq2(u + 1)**(((q^6) - 1) / 6)
// Fp2::NONRESIDUE^(((q^5) - 1) / 6)
field_new!(Fq2,
field_new!(Fq, BigInteger384([
0x43f5fffffffcaaae,
0x32b7fff2ed47fffd,
0x7e83a49a2e99d69,
0xeca8f3318332bb7a,
0xef148d1ea0f4c069,
0x40ab3263eff0206,
])),
FQ_ZERO,
field_new!(Fq, "3125332594171059424908108096204648978570118281977575435832422631601824034463382777937621250592425535493320683825557"),
field_new!(Fq, "877076961050607968509681729531255177986764537961432449499635504522207616027455086505066378536590128544573588734230"),
),
// Fq2(u + 1)**(((q^7) - 1) / 6)
// Fp2::NONRESIDUE^(((q^6) - 1) / 6)
field_new!(Fq2,
field_new!(Fq, BigInteger384([
0xb2f66aad4ce5d646,
0x5842a06bfc497cec,
0xcf4895d42599d394,
0xc11b9cba40a8e8d0,
0x2e3813cbe5a0de89,
0x110eefda88847faf,
])),
field_new!(Fq, BigInteger384([
0x7089552b319d465,
0xc6695f92b50a8313,
0x97e83cccd117228f,
0xa35baecab2dc29ee,
0x1ce393ea5daace4d,
0x8f2220fb0fb66eb,
])),
field_new!(Fq, "-1"),
field_new!(Fq, "0"),
),
// Fq2(u + 1)**(((q^8) - 1) / 6)
// Fp2::NONRESIDUE^(((q^7) - 1) / 6)
field_new!(Fq2,
field_new!(Fq, BigInteger384([
0xcd03c9e48671f071,
0x5dab22461fcda5d2,
0x587042afd3851b95,
0x8eb60ebe01bacb9e,
0x3f97d6e83d050d2,
0x18f0206554638741,
])),
FQ_ZERO,
field_new!(Fq, "151655185184498381465642749684540099398075398968325446656007613510403227271200139370504932015952886146304766135027"),
field_new!(Fq, "3850754370037169011952147076051364057158807420970682438676050522613628423219637725072182697113062777891589506424760"),
),
// Fq2(u + 1)**(((q^9) - 1) / 6)
// Fp2::NONRESIDUE^(((q^8) - 1) / 6)
field_new!(Fq2,
field_new!(Fq, BigInteger384([
0x7bcfa7a25aa30fda,
0xdc17dec12a927e7c,
0x2f088dd86b4ebef1,
0xd1ca2087da74d4a7,
0x2da2596696cebc1d,
0xe2b7eedbbfd87d2,
])),
field_new!(Fq, BigInteger384([
0x3e2f585da55c9ad1,
0x4294213d86c18183,
0x382844c88b623732,
0x92ad2afd19103e18,
0x1d794e4fac7cf0b9,
0xbd592fc7d825ec8,
])),
field_new!(Fq, "4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939436"),
field_new!(Fq, "0"),
),
// Fq2(u + 1)**(((q^10) - 1) / 6)
// Fp2::NONRESIDUE^(((q^9) - 1) / 6)
field_new!(Fq2,
field_new!(Fq, BigInteger384([
0x890dc9e4867545c3,
0x2af322533285a5d5,
0x50880866309b7e2c,
0xa20d1b8c7e881024,
0x14e4f04fe2db9068,
0x14e56d3f1564853a,
])),
FQ_ZERO,
field_new!(Fq, "1028732146235106349975324479215795277384839936929757896155643118032610843298655225875571310552543014690878354869257"),
field_new!(Fq, "2973677408986561043442465346520108879172042883009249989176415018091420807192182638567116318576472649347015917690530"),
),
// Fq2(u + 1)**(((q^11) - 1) / 6)
// Fp2::NONRESIDUE^(((q^10) - 1) / 6)
field_new!(Fq2,
field_new!(Fq, BigInteger384([
0x82d83cf50dbce43f,
0xa2813e53df9d018f,
0xc6f0caa53c65e181,
0x7525cf528d50fe95,
0x4a85ed50f4798a6b,
0x171da0fd6cf8eebd,
])),
field_new!(Fq, BigInteger384([
0x3726c30af242c66c,
0x7c2ac1aad1b6fe70,
0xa04007fbba4b14a2,
0xef517c3266341429,
0x95ba654ed2226b,
0x2e370eccc86f7dd,
])),
field_new!(Fq, "4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939437"),
field_new!(Fq, "0"),
),
// Fp2::NONRESIDUE^(((q^11) - 1) / 6)
field_new!(Fq2,
field_new!(Fq, "877076961050607968509681729531255177986764537961432449499635504522207616027455086505066378536590128544573588734230"),
field_new!(Fq, "3125332594171059424908108096204648978570118281977575435832422631601824034463382777937621250592425535493320683825557"),
),
];
}

48
bls12_381/src/fields/fq2.rs
View File

@@ -1,5 +1,5 @@
use crate::*;
use ark_ff::{biginteger::BigInteger384 as BigInteger, field_new, fields::*};
use ark_ff::{field_new, fields::*};
pub type Fq2 = Fp2<Fq2Parameters>;
@@ -10,57 +10,19 @@ impl Fp2Parameters for Fq2Parameters {
/// NONRESIDUE = -1
#[rustfmt::skip]
const NONRESIDUE: Fq = field_new!(Fq, BigInteger([
0x43f5fffffffcaaae,
0x32b7fff2ed47fffd,
0x7e83a49a2e99d69,
0xeca8f3318332bb7a,
0xef148d1ea0f4c069,
0x40ab3263eff0206,
]));
const NONRESIDUE: Fq = field_new!(Fq, "-1");
/// QUADRATIC_NONRESIDUE = (U + 1)
#[rustfmt::skip]
const QUADRATIC_NONRESIDUE: (Fq, Fq) = (
field_new!(Fq, BigInteger([
0x760900000002fffd,
0xebf4000bc40c0002,
0x5f48985753c758ba,
0x77ce585370525745,
0x5c071a97a256ec6d,
0x15f65ec3fa80e493,
])),
field_new!(Fq, BigInteger([
0x760900000002fffd,
0xebf4000bc40c0002,
0x5f48985753c758ba,
0x77ce585370525745,
0x5c071a97a256ec6d,
0x15f65ec3fa80e493,
])),
);
const QUADRATIC_NONRESIDUE: (Fq, Fq) = (FQ_ONE, FQ_ONE);
/// Coefficients for the Frobenius automorphism.
#[rustfmt::skip]
const FROBENIUS_COEFF_FP2_C1: &'static [Fq] = &[
// Fq(-1)**(((q^0) - 1) / 2)
field_new!(Fq, BigInteger([
0x760900000002fffd,
0xebf4000bc40c0002,
0x5f48985753c758ba,
0x77ce585370525745,
0x5c071a97a256ec6d,
0x15f65ec3fa80e493,
])),
field_new!(Fq, "1"),
// Fq(-1)**(((q^1) - 1) / 2)
field_new!(Fq, BigInteger([
0x43f5fffffffcaaae,
0x32b7fff2ed47fffd,
0x7e83a49a2e99d69,
0xeca8f3318332bb7a,
0xef148d1ea0f4c069,
0x40ab3263eff0206,
])),
field_new!(Fq, "-1"),
];
#[inline(always)]

178
bls12_381/src/fields/fq6.rs
View File

@@ -1,5 +1,5 @@
use crate::*;
use ark_ff::{biginteger::BigInteger384, field_new, fields::*};
use ark_ff::{field_new, fields::*};
pub type Fq6 = Fp6<Fq6Parameters>;
@@ -12,173 +12,75 @@ impl Fp6Parameters for Fq6Parameters {
/// NONRESIDUE = (U + 1)
#[rustfmt::skip]
const NONRESIDUE: Fq2 = field_new!(Fq2,
field_new!(Fq, BigInteger384([
0x760900000002fffd,
0xebf4000bc40c0002,
0x5f48985753c758ba,
0x77ce585370525745,
0x5c071a97a256ec6d,
0x15f65ec3fa80e493,
])),
field_new!(Fq, BigInteger384([
0x760900000002fffd,
0xebf4000bc40c0002,
0x5f48985753c758ba,
0x77ce585370525745,
0x5c071a97a256ec6d,
0x15f65ec3fa80e493,
])),
field_new!(Fq, "1"),
field_new!(Fq, "1"),
);
#[rustfmt::skip]
const FROBENIUS_COEFF_FP6_C1: &'static [Fq2] = &[
// Fq2(u + 1)**(((q^0) - 1) / 3)
field_new!(Fq2,
field_new!(Fq, BigInteger384([
0x760900000002fffd,
0xebf4000bc40c0002,
0x5f48985753c758ba,
0x77ce585370525745,
0x5c071a97a256ec6d,
0x15f65ec3fa80e493,
])),
field_new!(Fq, BigInteger384([0x0, 0x0, 0x0, 0x0, 0x0, 0x0])),
// Fp2::NONRESIDUE^(((q^0) - 1) / 3)
field_new!(Fq2,
field_new!(Fq, "1"),
field_new!(Fq, "0"),
),
// Fq2(u + 1)**(((q^1) - 1) / 3)
field_new!(Fq2,
field_new!(Fq, BigInteger384([0x0, 0x0, 0x0, 0x0, 0x0, 0x0])),
field_new!(Fq, BigInteger384([
0xcd03c9e48671f071,
0x5dab22461fcda5d2,
0x587042afd3851b95,
0x8eb60ebe01bacb9e,
0x3f97d6e83d050d2,
0x18f0206554638741,
])),
// Fp2::NONRESIDUE^(((q^1) - 1) / 3)
field_new!(Fq2,
field_new!(Fq, "0"),
field_new!(Fq, "4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939436"),
),
// Fq2(u + 1)**(((q^2) - 1) / 3)
field_new!(Fq2,
field_new!(Fq, BigInteger384([
0x30f1361b798a64e8,
0xf3b8ddab7ece5a2a,
0x16a8ca3ac61577f7,
0xc26a2ff874fd029b,
0x3636b76660701c6e,
0x51ba4ab241b6160,
])),
field_new!(Fq, BigInteger384([0x0, 0x0, 0x0, 0x0, 0x0, 0x0])),
// Fp2::NONRESIDUE^(((q^2) - 1) / 3)
field_new!(Fq2,
field_new!(Fq, "793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620350"),
field_new!(Fq, "0"),
),
// Fq2(u + 1)**(((q^3) - 1) / 3)
field_new!(Fq2,
field_new!(Fq, BigInteger384([0x0, 0x0, 0x0, 0x0, 0x0, 0x0])),
field_new!(Fq, BigInteger384([
0x760900000002fffd,
0xebf4000bc40c0002,
0x5f48985753c758ba,
0x77ce585370525745,
0x5c071a97a256ec6d,
0x15f65ec3fa80e493,
])),
// Fp2::NONRESIDUE^(((q^3) - 1) / 3)
field_new!(Fq2,
field_new!(Fq, "0"),
field_new!(Fq, "1"),
),
// Fq2(u + 1)**(((q^4) - 1) / 3)
field_new!(Fq2,
field_new!(Fq, BigInteger384([
0xcd03c9e48671f071,
0x5dab22461fcda5d2,
0x587042afd3851b95,
0x8eb60ebe01bacb9e,
0x3f97d6e83d050d2,
0x18f0206554638741,
])),
field_new!(Fq, BigInteger384([0x0, 0x0, 0x0, 0x0, 0x0, 0x0])),
// Fp2::NONRESIDUE^(((q^4) - 1) / 3)
field_new!(Fq2,
field_new!(Fq, "4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939436"),
field_new!(Fq, "0"),
),
// Fq2(u + 1)**(((q^5) - 1) / 3)
field_new!(Fq2,
field_new!(Fq, BigInteger384([0x0, 0x0, 0x0, 0x0, 0x0, 0x0])),
field_new!(Fq, BigInteger384([
0x30f1361b798a64e8,
0xf3b8ddab7ece5a2a,
0x16a8ca3ac61577f7,
0xc26a2ff874fd029b,
0x3636b76660701c6e,
0x51ba4ab241b6160,
])),
// Fp2::NONRESIDUE^(((q^5) - 1) / 3)
field_new!(Fq2,
field_new!(Fq, "0"),
field_new!(Fq, "793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620350"),
),
];
];
#[rustfmt::skip]
const FROBENIUS_COEFF_FP6_C2: &'static [Fq2] = &[
// Fq2(u + 1)**(((2q^0) - 2) / 3)
field_new!(Fq2,
field_new!(Fq, BigInteger384([
0x760900000002fffd,
0xebf4000bc40c0002,
0x5f48985753c758ba,
0x77ce585370525745,
0x5c071a97a256ec6d,
0x15f65ec3fa80e493,
])),
field_new!(Fq, BigInteger384([0x0, 0x0, 0x0, 0x0, 0x0, 0x0])),
field_new!(Fq, "1"),
field_new!(Fq, "0"),
),
// Fq2(u + 1)**(((2q^1) - 2) / 3)
field_new!(Fq2,
field_new!(Fq, BigInteger384([
0x890dc9e4867545c3,
0x2af322533285a5d5,
0x50880866309b7e2c,
0xa20d1b8c7e881024,
0x14e4f04fe2db9068,
0x14e56d3f1564853a,
])),
field_new!(Fq, BigInteger384([0x0, 0x0, 0x0, 0x0, 0x0, 0x0])),
field_new!(Fq, "4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939437"),
field_new!(Fq, "0"),
),
// Fq2(u + 1)**(((2q^2) - 2) / 3)
field_new!(Fq2,
field_new!(Fq, BigInteger384([
0xcd03c9e48671f071,
0x5dab22461fcda5d2,
0x587042afd3851b95,
0x8eb60ebe01bacb9e,
0x3f97d6e83d050d2,
0x18f0206554638741,
])),
field_new!(Fq, BigInteger384([0x0, 0x0, 0x0, 0x0, 0x0, 0x0])),
field_new!(Fq, "4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939436"),
field_new!(Fq, "0"),
),
// Fq2(u + 1)**(((2q^3) - 2) / 3)
field_new!(Fq2,
field_new!(Fq, BigInteger384([
0x43f5fffffffcaaae,
0x32b7fff2ed47fffd,
0x7e83a49a2e99d69,
0xeca8f3318332bb7a,
0xef148d1ea0f4c069,
0x40ab3263eff0206,
])),
field_new!(Fq, BigInteger384([0x0, 0x0, 0x0, 0x0, 0x0, 0x0])),
field_new!(Fq, "-1"),
field_new!(Fq, "0"),
),
// Fq2(u + 1)**(((2q^4) - 2) / 3)
field_new!(Fq2,
field_new!(Fq, BigInteger384([
0x30f1361b798a64e8,
0xf3b8ddab7ece5a2a,
0x16a8ca3ac61577f7,
0xc26a2ff874fd029b,
0x3636b76660701c6e,
0x51ba4ab241b6160,
])),
field_new!(Fq, BigInteger384([0x0, 0x0, 0x0, 0x0, 0x0, 0x0])),
field_new!(Fq, "793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620350"),
field_new!(Fq, "0"),
),
// Fq2(u + 1)**(((2q^5) - 2) / 3)
field_new!(Fq2,
field_new!(Fq, BigInteger384([
0xecfb361b798dba3a,
0xc100ddb891865a2c,
0xec08ff1232bda8e,
0xd5c13cc6f1ca4721,
0x47222a47bf7b5c04,
0x110f184e51c5f59,
])),
field_new!(Fq, BigInteger384([0x0, 0x0, 0x0, 0x0, 0x0, 0x0])),
field_new!(Fq, "793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620351"),
field_new!(Fq, "0"),
),
];