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Co-authored-by: Sun <huachuang20@gmail.com>
This commit is contained in:
Pratyush Mishra
2022-03-07 13:12:03 -08:00
committed by GitHub
parent d0dc200f22
commit 1551d6d76c
231 changed files with 2830 additions and 4343 deletions
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28
bw6_761/scripts/base_field.sage Normal file
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@@ -0,0 +1,28 @@
modulus = 6891450384315732539396789682275657542479668912536150109513790160209623422243491736087683183289411687640864567753786613451161759120554247759349511699125301598951605099378508850372543631423596795951899700429969112842764913119068299
assert(modulus.is_prime())
Fp = GF(modulus)
generator = Fp(0);
for i in range(0, 20):
i = Fp(i);
neg_i = Fp(-i)
if not(i.is_primitive_root() or neg_i.is_primitive_root()):
continue
elif i.is_primitive_root():
assert(i.is_primitive_root());
print("Generator: %d" % i)
generator = i
break
else:
assert(neg_i.is_primitive_root());
print("Generator: %d" % neg_i)
generator = neg_i
break
two_adicity = valuation(modulus - 1, 2);
trace = (modulus - 1) / 2**two_adicity;
two_adic_root_of_unity = generator^trace
print("2-adic Root of Unity: %d " % two_adic_root_of_unity)

28
bw6_761/scripts/scalar_field.sage Normal file
View File

@@ -0,0 +1,28 @@
modulus = 258664426012969094010652733694893533536393512754914660539884262666720468348340822774968888139573360124440321458177
assert(modulus.is_prime())
Fp = GF(modulus)
generator = Fp(0);
for i in range(0, 20):
i = Fp(i);
neg_i = Fp(-i)
if not(i.is_primitive_root() or neg_i.is_primitive_root()):
continue
elif i.is_primitive_root():
assert(i.is_primitive_root());
print("Generator: %d" % i)
generator = i
break
else:
assert(neg_i.is_primitive_root());
print("Generator: %d" % neg_i)
generator = neg_i
break
two_adicity = valuation(modulus - 1, 2);
trace = (modulus - 1) / 2**two_adicity;
two_adic_root_of_unity = generator^trace
print("2-adic Root of Unity: %d " % two_adic_root_of_unity)

21
bw6_761/src/curves/g1.rs
View File

@@ -1,9 +1,10 @@
use crate::{Fq, Fr};
use ark_ec::{
models::{ModelParameters, SWModelParameters},
short_weierstrass_jacobian::{GroupAffine, GroupProjective},
};
use ark_ff::field_new;
use ark_ff::MontFp;
use crate::{Fq, Fr};
pub type G1Affine = GroupAffine<Parameters>;
pub type G1Projective = GroupProjective<Parameters>;
@@ -29,19 +30,15 @@ impl ModelParameters for Parameters {
/// COFACTOR^(-1) mod r =
/// 91141326767669940707819291241958318717982251277713150053234367522357946997763584490607453720072232540829942217804
#[rustfmt::skip]
const COFACTOR_INV: Fr = field_new!(Fr, "91141326767669940707819291241958318717982251277713150053234367522357946997763584490607453720072232540829942217804");
const COFACTOR_INV: Fr = MontFp!(Fr, "91141326767669940707819291241958318717982251277713150053234367522357946997763584490607453720072232540829942217804");
}
impl SWModelParameters for Parameters {
/// COEFF_A = 0
#[rustfmt::skip]
const COEFF_A: Fq = field_new!(Fq, "0");
const COEFF_A: Fq = MontFp!(Fq, "0");
/// COEFF_B = -1
#[rustfmt::skip]
const COEFF_B: Fq = field_new!(Fq, "-1");
const COEFF_B: Fq = MontFp!(Fq, "-1");
/// AFFINE_GENERATOR_COEFFS = (G1_GENERATOR_X, G1_GENERATOR_Y)
const AFFINE_GENERATOR_COEFFS: (Self::BaseField, Self::BaseField) =
@@ -55,10 +52,8 @@ impl SWModelParameters for Parameters {
/// G1_GENERATOR_X =
/// 6238772257594679368032145693622812838779005809760824733138787810501188623461307351759238099287535516224314149266511977132140828635950940021790489507611754366317801811090811367945064510304504157188661901055903167026722666149426237
#[rustfmt::skip]
pub const G1_GENERATOR_X: Fq = field_new!(Fq, "6238772257594679368032145693622812838779005809760824733138787810501188623461307351759238099287535516224314149266511977132140828635950940021790489507611754366317801811090811367945064510304504157188661901055903167026722666149426237");
pub const G1_GENERATOR_X: Fq = MontFp!(Fq, "6238772257594679368032145693622812838779005809760824733138787810501188623461307351759238099287535516224314149266511977132140828635950940021790489507611754366317801811090811367945064510304504157188661901055903167026722666149426237");
/// G1_GENERATOR_Y =
/// 2101735126520897423911504562215834951148127555913367997162789335052900271653517958562461315794228241561913734371411178226936527683203879553093934185950470971848972085321797958124416462268292467002957525517188485984766314758624099
#[rustfmt::skip]
pub const G1_GENERATOR_Y: Fq = field_new!(Fq, "2101735126520897423911504562215834951148127555913367997162789335052900271653517958562461315794228241561913734371411178226936527683203879553093934185950470971848972085321797958124416462268292467002957525517188485984766314758624099");
pub const G1_GENERATOR_Y: Fq = MontFp!(Fq, "2101735126520897423911504562215834951148127555913367997162789335052900271653517958562461315794228241561913734371411178226936527683203879553093934185950470971848972085321797958124416462268292467002957525517188485984766314758624099");

22
bw6_761/src/curves/g2.rs
View File

@@ -1,9 +1,10 @@
use crate::{Fq, Fr};
use ark_ec::{
models::{ModelParameters, SWModelParameters},
short_weierstrass_jacobian::{GroupAffine, GroupProjective},
};
use ark_ff::field_new;
use ark_ff::MontFp;
use crate::{Fq, Fr};
pub type G2Affine = GroupAffine<Parameters>;
pub type G2Projective = GroupProjective<Parameters>;
@@ -29,23 +30,20 @@ impl ModelParameters for Parameters {
/// COFACTOR^(-1) mod r =
/// 214911522365886453591244899095480747723790054550866810551297776298664428889000553861210287833206024638187939842124
#[rustfmt::skip]
const COFACTOR_INV: Fr = field_new!(Fr, "214911522365886453591244899095480747723790054550866810551297776298664428889000553861210287833206024638187939842124");
const COFACTOR_INV: Fr = MontFp!(Fr, "214911522365886453591244899095480747723790054550866810551297776298664428889000553861210287833206024638187939842124");
}
impl SWModelParameters for Parameters {
/// COEFF_A = 0
#[rustfmt::skip]
const COEFF_A: Fq = field_new!(Fq, "0");
const COEFF_A: Fq = MontFp!(Fq, "0");
/// COEFF_B = 4
#[rustfmt::skip]
const COEFF_B: Fq = field_new!(Fq, "4");
const COEFF_B: Fq = MontFp!(Fq, "4");
/// AFFINE_GENERATOR_COEFFS = (G2_GENERATOR_X, G2_GENERATOR_Y)
const AFFINE_GENERATOR_COEFFS: (Self::BaseField, Self::BaseField) =
(G2_GENERATOR_X, G2_GENERATOR_Y);
#[inline(always)]
fn mul_by_a(_elem: &Self::BaseField) -> Self::BaseField {
use ark_ff::Zero;
@@ -55,10 +53,8 @@ impl SWModelParameters for Parameters {
/// G2_GENERATOR_X =
/// 6445332910596979336035888152774071626898886139774101364933948236926875073754470830732273879639675437155036544153105017729592600560631678554299562762294743927912429096636156401171909259073181112518725201388196280039960074422214428
#[rustfmt::skip]
pub const G2_GENERATOR_X: Fq = field_new!(Fq, "6445332910596979336035888152774071626898886139774101364933948236926875073754470830732273879639675437155036544153105017729592600560631678554299562762294743927912429096636156401171909259073181112518725201388196280039960074422214428");
pub const G2_GENERATOR_X: Fq = MontFp!(Fq, "6445332910596979336035888152774071626898886139774101364933948236926875073754470830732273879639675437155036544153105017729592600560631678554299562762294743927912429096636156401171909259073181112518725201388196280039960074422214428");
/// G2_GENERATOR_Y =
/// 562923658089539719386922163444547387757586534741080263946953401595155211934630598999300396317104182598044793758153214972605680357108252243146746187917218885078195819486220416605630144001533548163105316661692978285266378674355041
#[rustfmt::skip]
pub const G2_GENERATOR_Y: Fq = field_new!(Fq, "562923658089539719386922163444547387757586534741080263946953401595155211934630598999300396317104182598044793758153214972605680357108252243146746187917218885078195819486220416605630144001533548163105316661692978285266378674355041");
pub const G2_GENERATOR_Y: Fq = MontFp!(Fq, "562923658089539719386922163444547387757586534741080263946953401595155211934630598999300396317104182598044793758153214972605680357108252243146746187917218885078195819486220416605630144001533548163105316661692978285266378674355041");

7
bw6_761/src/curves/mod.rs
View File

@@ -1,10 +1,11 @@
use crate::*;
use ark_ec::{
bw6,
bw6::{BW6Parameters, TwistType, BW6},
};
use ark_ff::{biginteger::BigInteger768 as BigInteger, BigInt};
use crate::*;
pub mod g1;
pub mod g2;
@@ -47,8 +48,8 @@ impl BW6Parameters for Parameters {
const ATE_LOOP_COUNT_2_IS_NEGATIVE: bool = false;
const TWIST_TYPE: TwistType = TwistType::M;
type Fp = Fq;
type Fp3Params = Fq3Parameters;
type Fp6Params = Fq6Parameters;
type Fp3Config = Fq3Config;
type Fp6Config = Fq6Config;
type G1Parameters = g1::Parameters;
type G2Parameters = g2::Parameters;
}

12
bw6_761/src/curves/tests.rs
View File

@@ -1,15 +1,13 @@
use ark_ec::{AffineCurve, PairingEngine};
use ark_ff::{Field, One, PrimeField};
use ark_std::{rand::Rng, test_rng};
use crate::*;
use ark_algebra_test_templates::{
curves::*, generate_bilinearity_test, generate_g1_test, generate_g2_test, groups::*, msm::*,
};
use ark_ec::{AffineCurve, PairingEngine};
use ark_ff::{Field, One, PrimeField};
use ark_std::{rand::Rng, test_rng};
use core::ops::MulAssign;
use crate::*;
generate_g1_test!(bw6_761; curve_tests; sw_tests;);
generate_g2_test!(bw6_761; curve_tests; sw_tests;);
generate_bilinearity_test!(BW6_761, Fq6);

181
bw6_761/src/fields/fq.rs
View File

@@ -1,175 +1,10 @@
use ark_ff::{
biginteger::{BigInt, BigInteger768 as BigInteger},
field_new,
fields::{FftParameters, Fp768, Fp768Parameters, FpParameters},
};
use ark_ff::fields::{Fp768, MontBackend, MontConfig, MontFp};
pub type Fq = Fp768<FqParameters>;
#[derive(MontConfig)]
#[modulus = "6891450384315732539396789682275657542479668912536150109513790160209623422243491736087683183289411687640864567753786613451161759120554247759349511699125301598951605099378508850372543631423596795951899700429969112842764913119068299"]
#[generator = "2"]
pub struct FqConfig;
pub type Fq = Fp768<MontBackend<FqConfig, 12>>;
pub struct FqParameters;
pub const FQ_ONE: Fq = field_new!(Fq, "1");
pub const FQ_ZERO: Fq = field_new!(Fq, "0");
impl Fp768Parameters for FqParameters {}
impl FftParameters for FqParameters {
type BigInt = BigInteger;
// The internal representation of this type is six 64-bit unsigned
// integers in little-endian order. Values are always in
// Montgomery form; i.e., Scalar(a) = aR mod p, with R=2^768.
// (MODULUS - 1) % 2^TWO_ADICITY == 0
const TWO_ADICITY: u32 = 1;
// least_quadratic_nonresidue(MODULUS) in Sage.
#[rustfmt::skip]
const TWO_ADIC_ROOT_OF_UNITY: BigInteger = BigInt::new([
17481284903592032950u64,
10104133845767975835u64,
8607375506753517913u64,
13706168424391191299u64,
9580010308493592354u64,
14241333420363995524u64,
6665632285037357566u64,
5559902898979457045u64,
15504799981718861253u64,
8332096944629367896u64,
18005297320867222879u64,
58811391084848524u64,
]);
}
impl FpParameters for FqParameters {
/// MODULUS = 6891450384315732539396789682275657542479668912536150109513790160209623422243491736087683183289411687640864567753786613451161759120554247759349511699125301598951605099378508850372543631423596795951899700429969112842764913119068299
#[rustfmt::skip]
const MODULUS: BigInteger = BigInt::new([
0xf49d00000000008b,
0xe6913e6870000082,
0x160cf8aeeaf0a437,
0x98a116c25667a8f8,
0x71dcd3dc73ebff2e,
0x8689c8ed12f9fd90,
0x03cebaff25b42304,
0x707ba638e584e919,
0x528275ef8087be41,
0xb926186a81d14688,
0xd187c94004faff3e,
0x122e824fb83ce0a
]);
const MODULUS_BITS: u32 = 761;
const CAPACITY: u32 = Self::MODULUS_BITS - 1;
// gap to 64-bit machine word
const REPR_SHAVE_BITS: u32 = 7;
// 2^768 % MODULUS
#[rustfmt::skip]
const R: BigInteger = BigInt::new([
144959613005956565u64,
6509995272855063783u64,
11428286765660613342u64,
15738672438262922740u64,
17071399330169272331u64,
13899911246788437003u64,
12055474021000362245u64,
2545351818702954755u64,
8887388221587179644u64,
5009280847225881135u64,
15539704305423854047u64,
23071597697427581u64,
]);
// R^2
#[rustfmt::skip]
const R2: BigInteger = BigInt::new([
14305184132582319705u64,
8868935336694416555u64,
9196887162930508889u64,
15486798265448570248u64,
5402985275949444416u64,
10893197322525159598u64,
3204916688966998390u64,
12417238192559061753u64,
12426306557607898622u64,
1305582522441154384u64,
10311846026977660324u64,
48736111365249031u64,
]);
// (-1/MODULUS) % 2^64
const INV: u64 = 744663313386281181u64;
/// GENERATOR = 2
// primitive_root(MODULUS)
#[rustfmt::skip]
const GENERATOR: BigInteger = BigInt::new([
289919226011913130u64,
13019990545710127566u64,
4409829457611675068u64,
13030600802816293865u64,
15696054586628993047u64,
9353078419867322391u64,
5664203968291172875u64,
5090703637405909511u64,
17774776443174359288u64,
10018561694451762270u64,
12632664537138156478u64,
46143195394855163u64,
]);
// (MODULUS - 1) / 2
#[rustfmt::skip]
const MODULUS_MINUS_ONE_DIV_TWO: BigInteger = BigInt::new([
0x7a4e800000000045,
0xf3489f3438000041,
0x0b067c577578521b,
0x4c508b612b33d47c,
0x38ee69ee39f5ff97,
0x4344e476897cfec8,
0x81e75d7f92da1182,
0xb83dd31c72c2748c,
0x29413af7c043df20,
0x5c930c3540e8a344,
0x68c3e4a0027d7f9f,
0x9174127dc1e705,
]);
// T =
// 3445725192157866269698394841137828771239834456268075054756895080104811711121745868043841591644705843820432283876893306725580879560277123879674755849562650799475802549689254425186271815711798397975949850214984556421382456559534149
// (MODULUS - 1) / 2 ^ TWO_ADICITY
#[rustfmt::skip]
const T: BigInteger = BigInt::new([
0x7a4e800000000045,
0xf3489f3438000041,
0x0b067c577578521b,
0x4c508b612b33d47c,
0x38ee69ee39f5ff97,
0x4344e476897cfec8,
0x81e75d7f92da1182,
0xb83dd31c72c2748c,
0x29413af7c043df20,
0x5c930c3540e8a344,
0x68c3e4a0027d7f9f,
0x9174127dc1e705,
]);
// (T - 1)/2 =
// 1722862596078933134849197420568914385619917228134037527378447540052405855560872934021920795822352921910216141938446653362790439780138561939837377924781325399737901274844627212593135907855899198987974925107492278210691228279767074
#[rustfmt::skip]
const T_MINUS_ONE_DIV_TWO: BigInteger = BigInt::new([
0xbd27400000000022,
0xf9a44f9a1c000020,
0x05833e2bbabc290d,
0xa62845b09599ea3e,
0x1c7734f71cfaffcb,
0x21a2723b44be7f64,
0x40f3aebfc96d08c1,
0x5c1ee98e39613a46,
0x14a09d7be021ef90,
0xae49861aa07451a2,
0xb461f250013ebfcf,
0x48ba093ee0f382,
]);
}
pub const FQ_ONE: Fq = MontFp!(Fq, "1");
pub const FQ_ZERO: Fq = MontFp!(Fq, "0");

30
bw6_761/src/fields/fq3.rs
View File

@@ -1,6 +1,6 @@
use ark_ff::{
field_new,
fields::fp3::{Fp3, Fp3Parameters},
fields::fp3::{Fp3, Fp3Config},
CubicExt, MontFp,
};
use crate::{
@@ -8,24 +8,23 @@ use crate::{
Fq,
};
pub type Fq3 = Fp3<Fq3Parameters>;
pub type Fq3 = Fp3<Fq3Config>;
pub struct Fq3Parameters;
pub struct Fq3Config;
impl Fp3Parameters for Fq3Parameters {
impl Fp3Config for Fq3Config {
type Fp = Fq;
/// NONRESIDUE = -4
// Fq3 = Fq\[u\]/u^3+4
#[rustfmt::skip]
const NONRESIDUE: Fq = field_new!(Fq, "-4");
const NONRESIDUE: Fq = MontFp!(Fq, "-4");
// (MODULUS^3 - 1) % 2^TWO_ADICITY == 0
const TWO_ADICITY: u32 = 1;
// (T-1)/2 with T = (MODULUS^3-1) / 2^TWO_ADICITY
#[rustfmt::skip]
const T_MINUS_ONE_DIV_TWO: &'static [u64] = &[
const TRACE_MINUS_ONE_DIV_TWO: &'static [u64] = &[
0xb5e7c000000a3eac,
0xf79b99dbf41cf4ab,
0xe9372b1919e55ee5,
@@ -65,27 +64,24 @@ impl Fp3Parameters for Fq3Parameters {
];
// NONRESIDUE^T % q
#[rustfmt::skip]
const QUADRATIC_NONRESIDUE_TO_T: (Fq, Fq, Fq) = (
field_new!(Fq, "6891450384315732539396789682275657542479668912536150109513790160209623422243491736087683183289411687640864567753786613451161759120554247759349511699125301598951605099378508850372543631423596795951899700429969112842764913119068298"),
const QUADRATIC_NONRESIDUE_TO_T: Fq3 = CubicExt!(
MontFp!(Fq, "6891450384315732539396789682275657542479668912536150109513790160209623422243491736087683183289411687640864567753786613451161759120554247759349511699125301598951605099378508850372543631423596795951899700429969112842764913119068298"),
FQ_ZERO,
FQ_ZERO,
);
// NQR ^ (MODULUS^i - 1)/3, i=0,1,2 with NQR = u = (0,1,0)
#[rustfmt::skip]
const FROBENIUS_COEFF_FP3_C1: &'static [Fq] = &[
FQ_ONE,
field_new!(Fq, "4922464560225523242118178942575080391082002530232324381063048548642823052024664478336818169867474395270858391911405337707247735739826664939444490469542109391530482826728203582549674992333383150446779312029624171857054392282775648"),
field_new!(Fq, "1968985824090209297278610739700577151397666382303825728450741611566800370218827257750865013421937292370006175842381275743914023380727582819905021229583192207421122272650305267822868639090213645505120388400344940985710520836292650"),
MontFp!(Fq, "4922464560225523242118178942575080391082002530232324381063048548642823052024664478336818169867474395270858391911405337707247735739826664939444490469542109391530482826728203582549674992333383150446779312029624171857054392282775648"),
MontFp!(Fq, "1968985824090209297278610739700577151397666382303825728450741611566800370218827257750865013421937292370006175842381275743914023380727582819905021229583192207421122272650305267822868639090213645505120388400344940985710520836292650"),
];
// NQR ^ (2*MODULUS^i - 2)/3, i=0,1,2 with NQR = u = (0,1,0)
#[rustfmt::skip]
const FROBENIUS_COEFF_FP3_C2: &'static [Fq] = &[
FQ_ONE,
field_new!(Fq, "1968985824090209297278610739700577151397666382303825728450741611566800370218827257750865013421937292370006175842381275743914023380727582819905021229583192207421122272650305267822868639090213645505120388400344940985710520836292650"),
field_new!(Fq, "4922464560225523242118178942575080391082002530232324381063048548642823052024664478336818169867474395270858391911405337707247735739826664939444490469542109391530482826728203582549674992333383150446779312029624171857054392282775648"),
MontFp!(Fq, "1968985824090209297278610739700577151397666382303825728450741611566800370218827257750865013421937292370006175842381275743914023380727582819905021229583192207421122272650305267822868639090213645505120388400344940985710520836292650"),
MontFp!(Fq, "4922464560225523242118178942575080391082002530232324381063048548642823052024664478336818169867474395270858391911405337707247735739826664939444490469542109391530482826728203582549674992333383150446779312029624171857054392282775648"),
];
#[inline(always)]

31
bw6_761/src/fields/fq6.rs
View File

@@ -1,27 +1,26 @@
use crate::{Fq, Fq3, Fq3Parameters, FQ_ONE, FQ_ZERO};
use ark_ff::{
field_new,
fields::fp6_2over3::{Fp6, Fp6Parameters},
fields::fp6_2over3::{Fp6, Fp6Config},
CubicExt, MontFp,
};
pub type Fq6 = Fp6<Fq6Parameters>;
use crate::{Fq, Fq3, Fq3Config, FQ_ONE, FQ_ZERO};
pub struct Fq6Parameters;
pub type Fq6 = Fp6<Fq6Config>;
impl Fp6Parameters for Fq6Parameters {
type Fp3Params = Fq3Parameters;
pub struct Fq6Config;
impl Fp6Config for Fq6Config {
type Fp3Config = Fq3Config;
/// NONRESIDUE = (0, 1, 0)
#[rustfmt::skip]
const NONRESIDUE: Fq3 = field_new!(Fq3, FQ_ZERO, FQ_ONE, FQ_ZERO);
const NONRESIDUE: Fq3 = CubicExt!(FQ_ZERO, FQ_ONE, FQ_ZERO);
#[rustfmt::skip]
const FROBENIUS_COEFF_FP6_C1: &'static [Fq] = &[
field_new!(Fq, "1"),
field_new!(Fq, "4922464560225523242118178942575080391082002530232324381063048548642823052024664478336818169867474395270858391911405337707247735739826664939444490469542109391530482826728203582549674992333383150446779312029624171857054392282775649"),
field_new!(Fq, "4922464560225523242118178942575080391082002530232324381063048548642823052024664478336818169867474395270858391911405337707247735739826664939444490469542109391530482826728203582549674992333383150446779312029624171857054392282775648"),
field_new!(Fq, "-1"),
field_new!(Fq, "1968985824090209297278610739700577151397666382303825728450741611566800370218827257750865013421937292370006175842381275743914023380727582819905021229583192207421122272650305267822868639090213645505120388400344940985710520836292650"),
field_new!(Fq, "1968985824090209297278610739700577151397666382303825728450741611566800370218827257750865013421937292370006175842381275743914023380727582819905021229583192207421122272650305267822868639090213645505120388400344940985710520836292651"),
MontFp!(Fq, "1"),
MontFp!(Fq, "4922464560225523242118178942575080391082002530232324381063048548642823052024664478336818169867474395270858391911405337707247735739826664939444490469542109391530482826728203582549674992333383150446779312029624171857054392282775649"),
MontFp!(Fq, "4922464560225523242118178942575080391082002530232324381063048548642823052024664478336818169867474395270858391911405337707247735739826664939444490469542109391530482826728203582549674992333383150446779312029624171857054392282775648"),
MontFp!(Fq, "-1"),
MontFp!(Fq, "1968985824090209297278610739700577151397666382303825728450741611566800370218827257750865013421937292370006175842381275743914023380727582819905021229583192207421122272650305267822868639090213645505120388400344940985710520836292650"),
MontFp!(Fq, "1968985824090209297278610739700577151397666382303825728450741611566800370218827257750865013421937292370006175842381275743914023380727582819905021229583192207421122272650305267822868639090213645505120388400344940985710520836292651"),
];
}

2
bw6_761/src/fields/fr.rs
View File

@@ -1 +1 @@
pub use ark_bls12_377::{Fq as Fr, FqParameters as FrParameters};
pub use ark_bls12_377::{Fq as Fr, FqConfig as FrConfig};

14
bw6_761/src/fields/tests.rs
View File

@@ -1,14 +1,12 @@
use ark_ff::{Field, One, PrimeField, SquareRootField, UniformRand, Zero};
use ark_serialize::{buffer_bit_byte_size, CanonicalSerialize};
use ark_std::{rand::Rng, test_rng};
use crate::*;
use ark_algebra_test_templates::{
fields::*, generate_field_serialization_test, generate_field_test,
};
use ark_ff::{Field, One, PrimeField, SquareRootField, UniformRand, Zero};
use ark_serialize::{buffer_bit_byte_size, CanonicalSerialize};
use ark_std::{rand::Rng, test_rng};
use core::ops::{AddAssign, MulAssign, SubAssign};
generate_field_test!(bw6_761; fq3; fq6;);
use crate::*;
generate_field_test!(bw6_761; fq3; fq6; mont(12, 6); );
generate_field_serialization_test!(bw6_761;);

7
bw6_761/src/lib.rs Normal file → Executable file
View File

@@ -9,9 +9,10 @@
#![forbid(unsafe_code)]
//! This library implements the BW6_761 curve generated in [\[EG20\]](https://eprint.iacr.org/2020/351).
//! The name denotes that it is a curve generated using the Brezing--Weng method, and that
//! its embedding degree is 6.
//! The main feature of this curve is that the scalar field equals the base field of the BLS12_377 curve.
//! The name denotes that it is a curve generated using the Brezing--Weng
//! method, and that its embedding degree is 6.
//! The main feature of this curve is that the scalar field equals the base
//! field of the BLS12_377 curve.
//!
//! Curve information:
//! * Base field: q = 6891450384315732539396789682275657542479668912536150109513790160209623422243491736087683183289411687640864567753786613451161759120554247759349511699125301598951605099378508850372543631423596795951899700429969112842764913119068299