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ark-curves-cherry-picked
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Update BLS12-377

fq2_neg_nonresidue
Pratyush Mishra 4 years ago
parent
23e87bf224
commit
0445d45c07
7 changed files with 59 additions and 350 deletions
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  1. +6
    -33
      bls12_377/src/curves/g1.rs
  2. +8
    -49
      bls12_377/src/curves/g2.rs
  3. +3
    -3
      bls12_377/src/fields/fq.rs
  4. +14
    -101
      bls12_377/src/fields/fq12.rs
  5. +5
    -36
      bls12_377/src/fields/fq2.rs
  6. +22
    -128
      bls12_377/src/fields/fq6.rs
  7. +1
    -0
      bls12_377/src/fields/tests.rs

+ 6
- 33
bls12_377/src/curves/g1.rs
View File

@ -1,10 +1,9 @@
use ark_ec::models::{ModelParameters, SWModelParameters}; use ark_ec::models::{ModelParameters, SWModelParameters};
use ark_ff::{ use ark_ff::{
biginteger::{BigInteger256, BigInteger384},
field_new, Zero, field_new, Zero,
}; };
use crate::{Fq, Fr};
use crate::{Fq, Fr, fields::{FQ_ZERO, FQ_ONE}};
#[derive(Clone, Default, PartialEq, Eq)] #[derive(Clone, Default, PartialEq, Eq)]
pub struct Parameters; pub struct Parameters;
@ -16,18 +15,11 @@ impl ModelParameters for Parameters {
impl SWModelParameters for Parameters { impl SWModelParameters for Parameters {
/// COEFF_A = 0 /// COEFF_A = 0
const COEFF_A: Fq = field_new!(Fq, BigInteger384([0x0, 0x0, 0x0, 0x0, 0x0, 0x0]));
const COEFF_A: Fq = FQ_ZERO;
/// COEFF_B = 1 /// COEFF_B = 1
#[rustfmt::skip] #[rustfmt::skip]
const COEFF_B: Fq = field_new!(Fq, BigInteger384([
0x2cdffffffffff68,
0x51409f837fffffb1,
0x9f7db3a98a7d3ff2,
0x7b4e97b76e7c6305,
0x4cf495bf803c84e8,
0x8d6661e2fdf49a,
]));
const COEFF_B: Fq = FQ_ONE;
/// COFACTOR = (x - 1)^2 / 3 = 30631250834960419227450344600217059328 /// COFACTOR = (x - 1)^2 / 3 = 30631250834960419227450344600217059328
const COFACTOR: &'static [u64] = &[0x0, 0x170b5d4430000000]; const COFACTOR: &'static [u64] = &[0x0, 0x170b5d4430000000];
@ -35,12 +27,7 @@ impl SWModelParameters for Parameters {
/// COFACTOR_INV = COFACTOR^{-1} mod r /// COFACTOR_INV = COFACTOR^{-1} mod r
/// = 5285428838741532253824584287042945485047145357130994810877 /// = 5285428838741532253824584287042945485047145357130994810877
#[rustfmt::skip] #[rustfmt::skip]
const COFACTOR_INV: Fr = field_new!(Fr, BigInteger256([
2013239619100046060,
4201184776506987597,
2526766393982337036,
1114629510922847535,
]));
const COFACTOR_INV: Fr = field_new!(Fr, "5285428838741532253824584287042945485047145357130994810877");
/// AFFINE_GENERATOR_COEFFS = (G1_GENERATOR_X, G1_GENERATOR_Y) /// AFFINE_GENERATOR_COEFFS = (G1_GENERATOR_X, G1_GENERATOR_Y)
const AFFINE_GENERATOR_COEFFS: (Self::BaseField, Self::BaseField) = const AFFINE_GENERATOR_COEFFS: (Self::BaseField, Self::BaseField) =
@ -55,23 +42,9 @@ impl SWModelParameters for Parameters {
/// G1_GENERATOR_X = /// G1_GENERATOR_X =
/// 81937999373150964239938255573465948239988671502647976594219695644855304257327692006745978603320413799295628339695 /// 81937999373150964239938255573465948239988671502647976594219695644855304257327692006745978603320413799295628339695
#[rustfmt::skip] #[rustfmt::skip]
pub const G1_GENERATOR_X: Fq = field_new!(Fq, BigInteger384([
0x260f33b9772451f4,
0xc54dd773169d5658,
0x5c1551c469a510dd,
0x761662e4425e1698,
0xc97d78cc6f065272,
0xa41206b361fd4d,
]));
pub const G1_GENERATOR_X: Fq = field_new!(Fq, "81937999373150964239938255573465948239988671502647976594219695644855304257327692006745978603320413799295628339695");
/// G1_GENERATOR_Y = /// G1_GENERATOR_Y =
/// 241266749859715473739788878240585681733927191168601896383759122102112907357779751001206799952863815012735208165030 /// 241266749859715473739788878240585681733927191168601896383759122102112907357779751001206799952863815012735208165030
#[rustfmt::skip] #[rustfmt::skip]
pub const G1_GENERATOR_Y: Fq = field_new!(Fq, BigInteger384([
0x8193961fb8cb81f3,
0x638d4c5f44adb8,
0xfafaf3dad4daf54a,
0xc27849e2d655cd18,
0x2ec3ddb401d52814,
0x7da93326303c71,
]));
pub const G1_GENERATOR_Y: Fq = field_new!(Fq, "241266749859715473739788878240585681733927191168601896383759122102112907357779751001206799952863815012735208165030");

+ 8
- 49
bls12_377/src/curves/g2.rs
View File

@ -1,10 +1,9 @@
use ark_ec::models::{ModelParameters, SWModelParameters}; use ark_ec::models::{ModelParameters, SWModelParameters};
use ark_ff::{ use ark_ff::{
biginteger::{BigInteger256, BigInteger384},
field_new, Zero, field_new, Zero,
}; };
use crate::{g1, Fq, Fq2, Fr};
use crate::{g1, Fq, Fq2, Fr, fields::FQ_ZERO};
#[derive(Clone, Default, PartialEq, Eq)] #[derive(Clone, Default, PartialEq, Eq)]
pub struct Parameters; pub struct Parameters;
@ -30,15 +29,8 @@ impl SWModelParameters for Parameters {
/// 155198655607781456406391640216936120121836107652948796323930557600032281009004493664981332883744016074664192874906] /// 155198655607781456406391640216936120121836107652948796323930557600032281009004493664981332883744016074664192874906]
#[rustfmt::skip] #[rustfmt::skip]
const COEFF_B: Fq2 = field_new!(Fq2, const COEFF_B: Fq2 = field_new!(Fq2,
field_new!(Fq, BigInteger384([0, 0, 0, 0, 0, 0])),
field_new!(Fq, BigInteger384([
9255502405446297221,
10229180150694123945,
9215585410771530959,
13357015519562362907,
5437107869987383107,
16259554076827459,
])),
FQ_ZERO,
field_new!(Fq, "155198655607781456406391640216936120121836107652948796323930557600032281009004493664981332883744016074664192874906"),
); );
/// COFACTOR = /// COFACTOR =
@ -58,12 +50,7 @@ impl SWModelParameters for Parameters {
/// COFACTOR_INV = COFACTOR^{-1} mod r /// COFACTOR_INV = COFACTOR^{-1} mod r
/// = 6764900296503390671038341982857278410319949526107311149686707033187604810669 /// = 6764900296503390671038341982857278410319949526107311149686707033187604810669
#[rustfmt::skip] #[rustfmt::skip]
const COFACTOR_INV: Fr = field_new!(Fr, BigInteger256([
15499857013495546999,
4613531467548868169,
14546778081091178013,
549402535258503313,
]));
const COFACTOR_INV: Fr = field_new!(Fr, "6764900296503390671038341982857278410319949526107311149686707033187604810669");
/// AFFINE_GENERATOR_COEFFS = (G2_GENERATOR_X, G2_GENERATOR_Y) /// AFFINE_GENERATOR_COEFFS = (G2_GENERATOR_X, G2_GENERATOR_Y)
const AFFINE_GENERATOR_COEFFS: (Self::BaseField, Self::BaseField) = const AFFINE_GENERATOR_COEFFS: (Self::BaseField, Self::BaseField) =
@ -83,47 +70,19 @@ pub const G2_GENERATOR_Y: Fq2 = field_new!(Fq2, G2_GENERATOR_Y_C0, G2_GENERATOR_
/// G2_GENERATOR_X_C0 = /// G2_GENERATOR_X_C0 =
/// 233578398248691099356572568220835526895379068987715365179118596935057653620464273615301663571204657964920925606294 /// 233578398248691099356572568220835526895379068987715365179118596935057653620464273615301663571204657964920925606294
#[rustfmt::skip] #[rustfmt::skip]
pub const G2_GENERATOR_X_C0: Fq = field_new!(Fq, BigInteger384([
0x68904082f268725b,
0x668f2ea74f45328b,
0xebca7a65802be84f,
0x1e1850f4c1ada3e6,
0x830dc22d588ef1e9,
0x1862a81767c0982,
]));
pub const G2_GENERATOR_X_C0: Fq = field_new!(Fq, "233578398248691099356572568220835526895379068987715365179118596935057653620464273615301663571204657964920925606294");
/// G2_GENERATOR_X_C1 = /// G2_GENERATOR_X_C1 =
/// 140913150380207355837477652521042157274541796891053068589147167627541651775299824604154852141315666357241556069118 /// 140913150380207355837477652521042157274541796891053068589147167627541651775299824604154852141315666357241556069118
#[rustfmt::skip] #[rustfmt::skip]
pub const G2_GENERATOR_X_C1: Fq = field_new!(Fq, BigInteger384([
0x5f02a915c91c7f39,
0xf8c553ba388da2a7,
0xd51a416dbd198850,
0xe943c6f38ae3073a,
0xffe24aa8259a4981,
0x11853391e73dfdd,
]));
pub const G2_GENERATOR_X_C1: Fq = field_new!(Fq, "140913150380207355837477652521042157274541796891053068589147167627541651775299824604154852141315666357241556069118");
/// G2_GENERATOR_Y_C0 = /// G2_GENERATOR_Y_C0 =
/// 63160294768292073209381361943935198908131692476676907196754037919244929611450776219210369229519898517858833747423 /// 63160294768292073209381361943935198908131692476676907196754037919244929611450776219210369229519898517858833747423
#[rustfmt::skip] #[rustfmt::skip]
pub const G2_GENERATOR_Y_C0: Fq = field_new!(Fq, BigInteger384([
0xd5b19b897881430f,
0x5be9118a5b371ed,
0x6063f91f86c131ee,
0x3244a61be8f4ec19,
0xa02e425b9f9a3a12,
0x18af8c04f3360d2,
]));
pub const G2_GENERATOR_Y_C0: Fq = field_new!(Fq, "63160294768292073209381361943935198908131692476676907196754037919244929611450776219210369229519898517858833747423");
/// G2_GENERATOR_Y_C1 = /// G2_GENERATOR_Y_C1 =
/// 149157405641012693445398062341192467754805999074082136895788947234480009303640899064710353187729182149407503257491 /// 149157405641012693445398062341192467754805999074082136895788947234480009303640899064710353187729182149407503257491
#[rustfmt::skip] #[rustfmt::skip]
pub const G2_GENERATOR_Y_C1: Fq = field_new!(Fq, BigInteger384([
0x57601ac71a5b96f5,
0xe99acc1714f2440e,
0x2339612f10118ea9,
0x8321e68a3b1cd722,
0x2b543b050cc74917,
0x590182b396c112,
]));
pub const G2_GENERATOR_Y_C1: Fq = field_new!(Fq, "149157405641012693445398062341192467754805999074082136895788947234480009303640899064710353187729182149407503257491");

+ 3
- 3
bls12_377/src/fields/fq.rs
View File

@ -1,4 +1,4 @@
use ark_ff::{biginteger::BigInteger384 as BigInteger, field_new, fields::*};
use ark_ff::{biginteger::BigInteger384 as BigInteger, fields::*};
pub type Fq = Fp384<FqParameters>; pub type Fq = Fp384<FqParameters>;
@ -113,6 +113,6 @@ impl FpParameters for FqParameters {
} }
#[allow(dead_code)] #[allow(dead_code)]
pub const FQ_ONE: Fq = field_new!(Fq, FqParameters::R);
pub const FQ_ONE: Fq = Fq::new(FqParameters::R);
#[allow(dead_code)] #[allow(dead_code)]
pub const FQ_ZERO: Fq = field_new!(Fq, BigInteger([0, 0, 0, 0, 0, 0]));
pub const FQ_ZERO: Fq = Fq::new(BigInteger([0, 0, 0, 0, 0, 0]));

+ 14
- 101
bls12_377/src/fields/fq12.rs
View File

@ -1,5 +1,5 @@
use super::*; use super::*;
use ark_ff::{biginteger::BigInteger384, field_new, fields::*};
use ark_ff::{field_new, fields::*};
pub type Fq12 = Fp12<Fq12Parameters>; pub type Fq12 = Fp12<Fq12Parameters>;
@ -14,147 +14,60 @@ impl Fp12Parameters for Fq12Parameters {
#[rustfmt::skip] #[rustfmt::skip]
const FROBENIUS_COEFF_FP12_C1: &'static [Fq2] = &[ const FROBENIUS_COEFF_FP12_C1: &'static [Fq2] = &[
// Fp2::NONRESIDUE^(((q^0) - 1) / 6) // Fp2::NONRESIDUE^(((q^0) - 1) / 6)
field_new!(Fq2,
field_new!(Fq, BigInteger384([
0x2cdffffffffff68,
0x51409f837fffffb1,
0x9f7db3a98a7d3ff2,
0x7b4e97b76e7c6305,
0x4cf495bf803c84e8,
0x8d6661e2fdf49a,
])),
FQ_ZERO,
),
field_new!(Fq2, FQ_ONE, FQ_ZERO),
// Fp2::NONRESIDUE^(((q^1) - 1) / 6) // Fp2::NONRESIDUE^(((q^1) - 1) / 6)
field_new!(Fq2, field_new!(Fq2,
field_new!(Fq, BigInteger384([
0x6ec47a04a3f7ca9e,
0xa42e0cb968c1fa44,
0x578d5187fbd2bd23,
0x930eeb0ac79dd4bd,
0xa24883de1e09a9ee,
0xdaa7058067d46f,
])),
field_new!(Fq, "92949345220277864758624960506473182677953048909283248980960104381795901929519566951595905490535835115111760994353"),
FQ_ZERO, FQ_ZERO,
), ),
// Fp2::NONRESIDUE^(((q^2) - 1) / 6) // Fp2::NONRESIDUE^(((q^2) - 1) / 6)
field_new!(Fq2, field_new!(Fq2,
field_new!(Fq, BigInteger384([
0x5892506da58478da,
0x133366940ac2a74b,
0x9b64a150cdf726cf,
0x5cc426090a9c587e,
0x5cf848adfdcd640c,
0x4702bf3ac02380,
])),
field_new!(Fq, "80949648264912719408558363140637477264845294720710499478137287262712535938301461879813459410946"),
FQ_ZERO, FQ_ZERO,
), ),
// Fp2::NONRESIDUE^(((q^3) - 1) / 6) // Fp2::NONRESIDUE^(((q^3) - 1) / 6)
field_new!(Fq2, field_new!(Fq2,
field_new!(Fq, BigInteger384([
0x982c13d9d084771f,
0xfd49de0c6da34a32,
0x61a530d183ab0e53,
0xdf8fe44106dd9879,
0x40f29b58d88472bc,
0x158723199046d5d,
])),
field_new!(Fq, "216465761340224619389371505802605247630151569547285782856803747159100223055385581585702401816380679166954762214499"),
FQ_ZERO, FQ_ZERO,
), ),
// Fp2::NONRESIDUE^(((q^4) - 1) / 6) // Fp2::NONRESIDUE^(((q^4) - 1) / 6)
field_new!(Fq2, field_new!(Fq2,
field_new!(Fq, BigInteger384([
0xdacd106da5847973,
0xd8fe2454bac2a79a,
0x1ada4fd6fd832edc,
0xfb9868449d150908,
0xd63eb8aeea32285e,
0x167d6a36f873fd0,
])),
field_new!(Fq, "80949648264912719408558363140637477264845294720710499478137287262712535938301461879813459410945"),
FQ_ZERO, FQ_ZERO,
), ),
// Fp2::NONRESIDUE^(((q^5) - 1) / 6) // Fp2::NONRESIDUE^(((q^5) - 1) / 6)
field_new!(Fq2, field_new!(Fq2,
field_new!(Fq, BigInteger384([
0x296799d52c8cac81,
0x591bd15304e14fee,
0xa17df4987d85130,
0x4c80f9363f3fc3bc,
0x9eaa177aba7ac8ce,
0x7dcb2c189c98ed,
])),
field_new!(Fq, "123516416119946754630746545296132064952198520638002533875843642777304321125866014634106496325844844051843001220146"),
FQ_ZERO, FQ_ZERO,
), ),
// Fp2::NONRESIDUE^(((q^6) - 1) / 6) // Fp2::NONRESIDUE^(((q^6) - 1) / 6)
field_new!(Fq2, field_new!(Fq2,
field_new!(Fq, BigInteger384([
0x823ac00000000099,
0xc5cabdc0b000004f,
0x7f75ae862f8c080d,
0x9ed4423b9278b089,
0x79467000ec64c452,
0x120d3e434c71c50,
])),
field_new!(Fq, BigInteger384([0x0, 0x0, 0x0, 0x0, 0x0, 0x0])),
field_new!(Fq, "-1"),
FQ_ZERO,
), ),
// Fp2::NONRESIDUE^(((q^7) - 1) / 6) // Fp2::NONRESIDUE^(((q^7) - 1) / 6)
field_new!(Fq2, field_new!(Fq2,
field_new!(Fq, BigInteger384([
0x164445fb5c083563,
0x72dd508ac73e05bc,
0xc76610a7be368adc,
0x8713eee839573ed1,
0x23f281e24e979f4c,
0xd39340975d3c7b,
])),
field_new!(Fq, "165715080792691229252027773188420350858440463845631411558924158284924566418821255823372982649037525009328560463824"),
FQ_ZERO, FQ_ZERO,
), ),
// Fp2::NONRESIDUE^(((q^8) - 1) / 6) // Fp2::NONRESIDUE^(((q^8) - 1) / 6)
field_new!(Fq2, field_new!(Fq2,
field_new!(Fq, BigInteger384([
0x2c766f925a7b8727,
0x3d7f6b0253d58b5,
0x838ec0deec122131,
0xbd5eb3e9f658bb10,
0x6942bd126ed3e52e,
0x1673786dd04ed6a,
])),
field_new!(Fq, "258664426012969093929703085429980814127835149614277183275038967946009968870203535512256352201271898244626862047231"),
FQ_ZERO, FQ_ZERO,
), ),
// Fp2::NONRESIDUE^(((q^9) - 1) / 6) // Fp2::NONRESIDUE^(((q^9) - 1) / 6)
field_new!(Fq2, field_new!(Fq2,
field_new!(Fq, BigInteger384([
0xecdcac262f7b88e2,
0x19c17f37c25cb5cd,
0xbd4e315e365e39ac,
0x3a92f5b1fa177b15,
0x85486a67941cd67e,
0x55c8147ec0a38d,
])),
field_new!(Fq, "42198664672744474621281227892288285906241943207628877683080515507620245292955241189266486323192680957485559243678"),
FQ_ZERO, FQ_ZERO,
), ),
// Fp2::NONRESIDUE^(((q^10) - 1) / 6) // Fp2::NONRESIDUE^(((q^10) - 1) / 6)
field_new!(Fq2, field_new!(Fq2,
field_new!(Fq, BigInteger384([
0xaa3baf925a7b868e,
0x3e0d38ef753d5865,
0x4191258bc861923,
0x1e8a71ae63e00a87,
0xeffc4d11826f20dc,
0x4663a2a83dd119,
])),
field_new!(Fq, "258664426012969093929703085429980814127835149614277183275038967946009968870203535512256352201271898244626862047232"),
FQ_ZERO, FQ_ZERO,
), ),
// Fp2::NONRESIDUE^(((q^11) - 1) / 6) // Fp2::NONRESIDUE^(((q^11) - 1) / 6)
field_new!(Fq2, field_new!(Fq2,
field_new!(Fq, BigInteger384([
0x5ba1262ad3735380,
0xbdef8bf12b1eb012,
0x14db82e63230f6cf,
0xcda1e0bcc1b54fd3,
0x2790ee45b226806c,
0x1306f19ff2877fd,
])),
field_new!(Fq, "135148009893022339379906188398761468584194992116912126664040619889416147222474808140862391813728516072597320238031"),
FQ_ZERO, FQ_ZERO,
), ),
]; ];

+ 5
- 36
bls12_377/src/fields/fq2.rs
View File

@ -1,5 +1,5 @@
use super::*; use super::*;
use ark_ff::{biginteger::BigInteger384 as BigInteger, field_new, fields::*};
use ark_ff::{field_new, fields::*};
pub type Fq2 = Fp2<Fq2Parameters>; pub type Fq2 = Fp2<Fq2Parameters>;
@ -10,50 +10,19 @@ impl Fp2Parameters for Fq2Parameters {
/// NONRESIDUE = -5 /// NONRESIDUE = -5
#[rustfmt::skip] #[rustfmt::skip]
const NONRESIDUE: Fq = field_new!(Fq, BigInteger([
0xfc0b8000000002fa,
0x97d39cf6e000018b,
0x2072420fbfa05044,
0xcbbcbd50d97c3802,
0xbaf1ec35813f9eb,
0x9974a2c0945ad2,
]));
const NONRESIDUE: Fq = field_new!(Fq, "-5");
/// QUADRATIC_NONRESIDUE = U /// QUADRATIC_NONRESIDUE = U
#[rustfmt::skip] #[rustfmt::skip]
const QUADRATIC_NONRESIDUE: (Fq, Fq) = (
field_new!(Fq, BigInteger([0, 0, 0, 0, 0, 0])),
field_new!(Fq, BigInteger([
202099033278250856u64,
5854854902718660529u64,
11492539364873682930u64,
8885205928937022213u64,
5545221690922665192u64,
39800542322357402u64,
])),
);
const QUADRATIC_NONRESIDUE: (Fq, Fq) = (FQ_ZERO, FQ_ONE);
/// Coefficients for the Frobenius automorphism. /// Coefficients for the Frobenius automorphism.
#[rustfmt::skip] #[rustfmt::skip]
const FROBENIUS_COEFF_FP2_C1: &'static [Fq] = &[ const FROBENIUS_COEFF_FP2_C1: &'static [Fq] = &[
// NONRESIDUE**(((q^0) - 1) / 2) // NONRESIDUE**(((q^0) - 1) / 2)
field_new!(Fq, BigInteger([
0x2cdffffffffff68,
0x51409f837fffffb1,
0x9f7db3a98a7d3ff2,
0x7b4e97b76e7c6305,
0x4cf495bf803c84e8,
0x8d6661e2fdf49a,
])),
FQ_ONE,
// NONRESIDUE**(((q^1) - 1) / 2) // NONRESIDUE**(((q^1) - 1) / 2)
field_new!(Fq, BigInteger([
0x823ac00000000099,
0xc5cabdc0b000004f,
0x7f75ae862f8c080d,
0x9ed4423b9278b089,
0x79467000ec64c452,
0x120d3e434c71c50,
])),
field_new!(Fq, "-1"),
]; ];
#[inline(always)] #[inline(always)]

+ 22
- 128
bls12_377/src/fields/fq6.rs
View File

@ -1,5 +1,5 @@
use super::*; use super::*;
use ark_ff::{biginteger::BigInteger384, field_new, fields::*};
use ark_ff::{field_new, fields::*};
pub type Fq6 = Fp6<Fq6Parameters>; pub type Fq6 = Fp6<Fq6Parameters>;
@ -11,166 +11,60 @@ impl Fp6Parameters for Fq6Parameters {
/// NONRESIDUE = U /// NONRESIDUE = U
#[rustfmt::skip] #[rustfmt::skip]
const NONRESIDUE: Fq2 = field_new!(Fq2,
field_new!(Fq, BigInteger384([0, 0, 0, 0, 0, 0])),
field_new!(Fq, BigInteger384([
202099033278250856u64,
5854854902718660529u64,
11492539364873682930u64,
8885205928937022213u64,
5545221690922665192u64,
39800542322357402u64,
])),
);
const NONRESIDUE: Fq2 = field_new!(Fq2, FQ_ZERO, FQ_ONE);
#[rustfmt::skip] #[rustfmt::skip]
const FROBENIUS_COEFF_FP6_C1: &'static [Fq2] = &[ const FROBENIUS_COEFF_FP6_C1: &'static [Fq2] = &[
// Fp2::NONRESIDUE^(((q^0) - 1) / 3) // Fp2::NONRESIDUE^(((q^0) - 1) / 3)
field_new!(Fq2,
field_new!(Fq, BigInteger384([
0x2cdffffffffff68,
0x51409f837fffffb1,
0x9f7db3a98a7d3ff2,
0x7b4e97b76e7c6305,
0x4cf495bf803c84e8,
0x8d6661e2fdf49a,
])),
field_new!(Fq, BigInteger384([0x0, 0x0, 0x0, 0x0, 0x0, 0x0])),
),
field_new!(Fq2, FQ_ONE, FQ_ZERO),
// Fp2::NONRESIDUE^(((q^1) - 1) / 3) // Fp2::NONRESIDUE^(((q^1) - 1) / 3)
field_new!(Fq2, field_new!(Fq2,
field_new!(Fq, BigInteger384([
0x5892506da58478da,
0x133366940ac2a74b,
0x9b64a150cdf726cf,
0x5cc426090a9c587e,
0x5cf848adfdcd640c,
0x4702bf3ac02380,
])),
field_new!(Fq, BigInteger384([0x0, 0x0, 0x0, 0x0, 0x0, 0x0])),
field_new!(Fq, "80949648264912719408558363140637477264845294720710499478137287262712535938301461879813459410946"),
FQ_ZERO,
), ),
// Fp2::NONRESIDUE^(((q^2) - 1) / 3) // Fp2::NONRESIDUE^(((q^2) - 1) / 3)
field_new!(Fq2, field_new!(Fq2,
field_new!(Fq, BigInteger384([
0xdacd106da5847973,
0xd8fe2454bac2a79a,
0x1ada4fd6fd832edc,
0xfb9868449d150908,
0xd63eb8aeea32285e,
0x167d6a36f873fd0,
])),
field_new!(Fq, BigInteger384([0x0, 0x0, 0x0, 0x0, 0x0, 0x0])),
field_new!(Fq, "80949648264912719408558363140637477264845294720710499478137287262712535938301461879813459410945"),
FQ_ZERO,
), ),
// Fp2::NONRESIDUE^(((q^3) - 1) / 3) // Fp2::NONRESIDUE^(((q^3) - 1) / 3)
field_new!(Fq2,
field_new!(Fq, BigInteger384([
0x823ac00000000099,
0xc5cabdc0b000004f,
0x7f75ae862f8c080d,
0x9ed4423b9278b089,
0x79467000ec64c452,
0x120d3e434c71c50,
])),
field_new!(Fq, BigInteger384([0x0, 0x0, 0x0, 0x0, 0x0, 0x0])),
),
field_new!(Fq2, field_new!(Fq, "-1"), FQ_ZERO),
// Fp2::NONRESIDUE^(((q^4) - 1) / 3) // Fp2::NONRESIDUE^(((q^4) - 1) / 3)
field_new!(Fq2, field_new!(Fq2,
field_new!(Fq, BigInteger384([
0x2c766f925a7b8727,
0x3d7f6b0253d58b5,
0x838ec0deec122131,
0xbd5eb3e9f658bb10,
0x6942bd126ed3e52e,
0x1673786dd04ed6a,
])),
field_new!(Fq, BigInteger384([0x0, 0x0, 0x0, 0x0, 0x0, 0x0])),
field_new!(Fq, "258664426012969093929703085429980814127835149614277183275038967946009968870203535512256352201271898244626862047231"),
FQ_ZERO,
), ),
// Fp2::NONRESIDUE^(((q^5) - 1) / 3) // Fp2::NONRESIDUE^(((q^5) - 1) / 3)
field_new!(Fq2, field_new!(Fq2,
field_new!(Fq, BigInteger384([
0xaa3baf925a7b868e,
0x3e0d38ef753d5865,
0x4191258bc861923,
0x1e8a71ae63e00a87,
0xeffc4d11826f20dc,
0x4663a2a83dd119,
])),
field_new!(Fq, BigInteger384([0x0, 0x0, 0x0, 0x0, 0x0, 0x0])),
field_new!(Fq, "258664426012969093929703085429980814127835149614277183275038967946009968870203535512256352201271898244626862047232"),
FQ_ZERO,
), ),
]; ];
#[rustfmt::skip] #[rustfmt::skip]
const FROBENIUS_COEFF_FP6_C2: &'static [Fq2] = &[ const FROBENIUS_COEFF_FP6_C2: &'static [Fq2] = &[
// Fp2::NONRESIDUE^((2*(q^0) - 2) / 3) // Fp2::NONRESIDUE^((2*(q^0) - 2) / 3)
field_new!(Fq2,
field_new!(Fq, BigInteger384([
0x2cdffffffffff68,
0x51409f837fffffb1,
0x9f7db3a98a7d3ff2,
0x7b4e97b76e7c6305,
0x4cf495bf803c84e8,
0x8d6661e2fdf49a,
])),
field_new!(Fq, BigInteger384([0x0, 0x0, 0x0, 0x0, 0x0, 0x0])),
),
field_new!(Fq2, FQ_ONE, FQ_ZERO),
// Fp2::NONRESIDUE^((2*(q^1) - 2) / 3) // Fp2::NONRESIDUE^((2*(q^1) - 2) / 3)
field_new!(Fq2, field_new!(Fq2,
field_new!(Fq, BigInteger384([
0xdacd106da5847973,
0xd8fe2454bac2a79a,
0x1ada4fd6fd832edc,
0xfb9868449d150908,
0xd63eb8aeea32285e,
0x167d6a36f873fd0,
])),
field_new!(Fq, BigInteger384([0x0, 0x0, 0x0, 0x0, 0x0, 0x0])),
field_new!(Fq, "80949648264912719408558363140637477264845294720710499478137287262712535938301461879813459410945"),
FQ_ZERO
), ),
// Fp2::NONRESIDUE^((2*(q^2) - 2) / 3) // Fp2::NONRESIDUE^((2*(q^2) - 2) / 3)
field_new!(Fq2, field_new!(Fq2,
field_new!(Fq, BigInteger384([
0x2c766f925a7b8727,
0x3d7f6b0253d58b5,
0x838ec0deec122131,
0xbd5eb3e9f658bb10,
0x6942bd126ed3e52e,
0x1673786dd04ed6a,
])),
field_new!(Fq, BigInteger384([0x0, 0x0, 0x0, 0x0, 0x0, 0x0])),
field_new!(Fq, "258664426012969093929703085429980814127835149614277183275038967946009968870203535512256352201271898244626862047231"),
FQ_ZERO,
), ),
// Fp2::NONRESIDUE^((2*(q^3) - 2) / 3) // Fp2::NONRESIDUE^((2*(q^3) - 2) / 3)
field_new!(Fq2,
field_new!(Fq, BigInteger384([
0x2cdffffffffff68,
0x51409f837fffffb1,
0x9f7db3a98a7d3ff2,
0x7b4e97b76e7c6305,
0x4cf495bf803c84e8,
0x8d6661e2fdf49a,
])),
field_new!(Fq, BigInteger384([0x0, 0x0, 0x0, 0x0, 0x0, 0x0])),
),
field_new!(Fq2, FQ_ONE, FQ_ZERO),
// Fp2::NONRESIDUE^((2*(q^4) - 2) / 3) // Fp2::NONRESIDUE^((2*(q^4) - 2) / 3)
field_new!(Fq2, field_new!(Fq2,
field_new!(Fq, BigInteger384([
0xdacd106da5847973,
0xd8fe2454bac2a79a,
0x1ada4fd6fd832edc,
0xfb9868449d150908,
0xd63eb8aeea32285e,
0x167d6a36f873fd0,
])),
field_new!(Fq, BigInteger384([0x0, 0x0, 0x0, 0x0, 0x0, 0x0])),
field_new!(Fq, "80949648264912719408558363140637477264845294720710499478137287262712535938301461879813459410945"),
FQ_ZERO,
), ),
// Fp2::NONRESIDUE^((2*(q^5) - 2) / 3) // Fp2::NONRESIDUE^((2*(q^5) - 2) / 3)
field_new!(Fq2, field_new!(Fq2,
field_new!(Fq, BigInteger384([
0x2c766f925a7b8727,
0x3d7f6b0253d58b5,
0x838ec0deec122131,
0xbd5eb3e9f658bb10,
0x6942bd126ed3e52e,
0x1673786dd04ed6a,
])),
field_new!(Fq, BigInteger384([0x0, 0x0, 0x0, 0x0, 0x0, 0x0])),
field_new!(Fq, "258664426012969093929703085429980814127835149614277183275038967946009968870203535512256352201271898244626862047231"),
FQ_ZERO,
), ),
]; ];

+ 1
- 0
bls12_377/src/fields/tests.rs
View File

@ -72,6 +72,7 @@ fn test_fq6() {
let h: Fq6 = rng.gen(); let h: Fq6 = rng.gen();
field_test(g, h); field_test(g, h);
} }
frobenius_test::<Fq6, _>(Fq::characteristic(), 13); frobenius_test::<Fq6, _>(Fq::characteristic(), 13);
let byte_size = Fq6::zero().serialized_size(); let byte_size = Fq6::zero().serialized_size();
field_serialization_test::<Fq6>(byte_size); field_serialization_test::<Fq6>(byte_size);

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