Update MNT6-753

mnt6_753/src/curves/g1.rs

@@ -2,7 +2,7 @@ use ark_ec::{
     mnt6,
     models::{ModelParameters, SWModelParameters},
 };
-use ark_ff::{biginteger::BigInteger768, field_new};
+use ark_ff::{field_new};
 
 use crate::{Fq, Fr, FR_ONE};
 
@@ -21,37 +21,11 @@ impl ModelParameters for Parameters {
 impl SWModelParameters for Parameters {
     /// COEFF_A = 11
     #[rustfmt::skip]
-    const COEFF_A: Fq = field_new!(Fq, BigInteger768([
+    const COEFF_A: Fq = field_new!(Fq, "11");
-        5145524327033718740,
-        14149824967095184544,
-        5159730833497260295,
-        3902941467692815387,
-        15830098551216085679,
-        8665641533746801158,
-        17502192300007146323,
-        14483698255198590748,
-        546300946688995976,
-        4331975528992054828,
-        5311428878520309260,
-        495362057711802,
-    ]));
 
     /// COEFF_B = 0x7DA285E70863C79D56446237CE2E1468D14AE9BB64B2BB01B10E60A5D5DFE0A25714B7985993F62F03B22A9A3C737A1A1E0FCF2C43D7BF847957C34CCA1E3585F9A80A95F401867C4E80F4747FDE5ABA7505BA6FCF2485540B13DFC8468A
     #[rustfmt::skip]
-    const COEFF_B: Fq = field_new!(Fq, BigInteger768([
+    const COEFF_B: Fq = field_new!(Fq, "11625908999541321152027340224010374716841167701783584648338908235410859267060079819722747939267925389062611062156601938166010098747920378738927832658133625454260115409075816187555055859490253375704728027944315501122723426879114");
-        8828711393625909642,
-        12722539140758597443,
-        2303826860244282256,
-        8063890988281098391,
-        6269149169423748670,
-        3425772737529456013,
-        1457017085322601211,
-        5177155908178255133,
-        18057960053344868113,
-        10481469207136524576,
-        17888199912367160320,
-        290288558853910,
-    ]));
 
     /// COFACTOR = 1
     const COFACTOR: &'static [u64] = &[1];
@@ -70,35 +44,11 @@ impl SWModelParameters for Parameters {
 // X = 3458420969484235708806261200128850544017070333833944116801482064540723268149235477762870414664917360605949659630933184751526227993647030875167687492714052872195770088225183259051403087906158701786758441889742618916006546636728,
 // Y = 27460508402331965149626600224382137254502975979168371111640924721589127725376473514838234361114855175488242007431439074223827742813911899817930728112297763448010814764117701403540298764970469500339646563344680868495474127850569,
 /// G1_GENERATOR_X =
+/// 3458420969484235708806261200128850544017070333833944116801482064540723268149235477762870414664917360605949659630933184751526227993647030875167687492714052872195770088225183259051403087906158701786758441889742618916006546636728,
 #[rustfmt::skip]
-pub const G1_GENERATOR_X: Fq = field_new!(Fq, BigInteger768([
+pub const G1_GENERATOR_X: Fq = field_new!(Fq, "3458420969484235708806261200128850544017070333833944116801482064540723268149235477762870414664917360605949659630933184751526227993647030875167687492714052872195770088225183259051403087906158701786758441889742618916006546636728");
-    16404456614462158210,
-    16873534995404346316,
-    29580875041164893,
-    12740551787746921884,
-    16087583716780115490,
-    15096170813200936110,
-    930080103225705610,
-    660122182606823185,
-    5211213138865083410,
-    15466479635231681544,
-    11783401481713071326,
-    20214808394592
-]));
 
 /// G1_GENERATOR_Y =
+/// 27460508402331965149626600224382137254502975979168371111640924721589127725376473514838234361114855175488242007431439074223827742813911899817930728112297763448010814764117701403540298764970469500339646563344680868495474127850569,
 #[rustfmt::skip]
-pub const G1_GENERATOR_Y: Fq = field_new!(Fq, BigInteger768([
+pub const G1_GENERATOR_Y: Fq = field_new!(Fq, "27460508402331965149626600224382137254502975979168371111640924721589127725376473514838234361114855175488242007431439074223827742813911899817930728112297763448010814764117701403540298764970469500339646563344680868495474127850569");
-    11636140615878154554,
-    15149343852908177063,
-    14426639389651280896,
-    12711360703798958610,
-    3787948290527586979,
-    7628180411662927078,
-    17195203689728925717,
-    6800476327444280291,
-    2228796880865780105,
-    15627033749683396124,
-    13783535191786892346,
-    61400438920476
-]));

mnt6_753/src/curves/g2.rs

@@ -3,7 +3,7 @@ use ark_ec::{
     mnt6::MNT6Parameters,
     models::{ModelParameters, SWModelParameters},
 };
-use ark_ff::{biginteger::BigInteger768, field_new};
+use ark_ff::{field_new};
 
 use crate::{g1, Fq, Fq3, Fr, FQ_ZERO};
 
@@ -20,38 +20,16 @@ impl ModelParameters for Parameters {
 }
 
 /// MUL_BY_A_C0 = NONRESIDUE * COEFF_A
+///             = 11 * 11
+///             = 121
 #[rustfmt::skip]
-pub const MUL_BY_A_C0: Fq = field_new!(Fq, BigInteger768([
+pub const MUL_BY_A_C0: Fq = field_new!(Fq, "121");
-    10895242587870565906,
-    6757387713923212228,
-    12683949709867392876,
-    1229095484098138811,
-    18111217745394181988,
-    3648021353977015866,
-    7900332254549424237,
-    5988529219097278134,
-    11544487525720487778,
-    7317517692149492894,
-    9905728181042915773,
-    470678396104534
-]));
 
 /// MUL_BY_A_C1 = NONRESIDUE * COEFF_A
+///             = 11 * 11
+///             = 121
 #[rustfmt::skip]
-pub const MUL_BY_A_C1: Fq = field_new!(Fq, BigInteger768([
+pub const MUL_BY_A_C1: Fq = field_new!(Fq, "121");
-    10895242587870565906,
-    6757387713923212228,
-    12683949709867392876,
-    1229095484098138811,
-    18111217745394181988,
-    3648021353977015866,
-    7900332254549424237,
-    5988529219097278134,
-    11544487525720487778,
-    7317517692149492894,
-    9905728181042915773,
-    470678396104534
-]));
 
 /// MUL_BY_A_C2 = COEFF_A
 pub const MUL_BY_A_C2: Fq = g1::Parameters::COEFF_A;
@@ -71,20 +49,7 @@ impl SWModelParameters for Parameters {
     #[rustfmt::skip]
     const COEFF_B: Fq3 = field_new!(
         Fq3,
-        field_new!(Fq, BigInteger768([
+        field_new!(Fq, "2189526091197672465268098090392210500740714959757583916377481826443393499947557697773546040576162515434508768057245887856591913752342600919117433675080691499697020523783784738694360040853591723916201150207746019687604267190251"),
-                3284231658830416104,
-                13720030246451177991,
-                6276939417009443243,
-                8340612253649729185,
-                4863511590806861670,
-                15883218135158530927,
-                4865336109262680856,
-                16600307443495218926,
-                10112528487499131659,
-                17308657107605697754,
-                5326857497786417651,
-                206191604157846
-        ])),
         FQ_ZERO,
         FQ_ZERO,
     );
@@ -122,20 +87,7 @@ impl SWModelParameters for Parameters {
     /// COFACTOR^(-1) mod r =
     /// 6983081827986492233724035798540106188028451653325658178630583820170892135428517795509815627298389820236345161981341515817589065927929152555581161598204976128690232061758269440757592419606754539638220064054062394397574161203200
     #[rustfmt::skip]
-    const COFACTOR_INV: Fr = field_new!(Fr, BigInteger768([
+    const COFACTOR_INV: Fr = field_new!(Fr, "6983081827986492233724035798540106188028451653325658178630583820170892135428517795509815627298389820236345161981341515817589065927929152555581161598204976128690232061758269440757592419606754539638220064054062394397574161203200");
-            9418103049026957703,
-            3464743017686961509,
-            7872172759259099794,
-            17514322419398292337,
-            1496353716802911167,
-            16961719271566193274,
-            15426671498718617736,
-            9230857178223113223,
-            11731938389074297274,
-            16450973680014766981,
-            431917267220694852,
-            94637508603012
-    ]));
 
     /// AFFINE_GENERATOR_COEFFS = (G2_GENERATOR_X, G2_GENERATOR_Y)
     const AFFINE_GENERATOR_COEFFS: (Self::BaseField, Self::BaseField) =
@@ -165,98 +117,10 @@ const G2_GENERATOR_Y: Fq3 =
 // Y = 2540920530670785421282147216459500299597350984927286541981768941513322907384197363939300669100157141915897390694710534916701460991329498878429407641200901974650893207493883271892985923686300670742888673128384350189165542294615,
 // 7768974215205248225654340523113146529854477025417883273460270519532499370133542215655437897583245920162220909271982265882784840026754554720358946490360213245668334549692889019612343620295335698052097726325099648573158597797497,
 // 21014872727619291834131369222699267167761185012487859171850226473555446863681002782100371394603357586906967186931035615146288030444598977758226767063525819170917389755555854704165900869058188909090444447822088242504281789869689,
-#[rustfmt::skip]
+pub const G2_GENERATOR_X_C0: Fq = field_new!(Fq, "27250797394340459586637772414334383652934225310678303542554641987990991970766156209996739240400887081904395745019996048910447071686918567661896491214767494514394154061111870331668445455228882471000120574964265209669155206168252");
-pub const G2_GENERATOR_X_C0: Fq = field_new!(Fq, BigInteger768([
+pub const G2_GENERATOR_X_C1: Fq = field_new!(Fq, "35762481056967998715733586393399457882827322353696313323665483142561285210083843314423554450886956650265947502285422529615273790981238406393402603210224104850580302463396274854098657541573494421834514772635884262388058080180368");
-    12772807549130126376,
+pub const G2_GENERATOR_X_C2: Fq = field_new!(Fq, "36955296703808958167583270646821654948157955258947892285629161090141878438357164213613114995903637211606408001037026832604054121847388692538440756596264746452765613740820430501353237866984394057660379098674983614861254438847846");
-    2873211972983293592,
-    15999100872160401842,
-    5277158980096688998,
-    12258756012310206056,
-    11885883517271414939,
-    6373672746025419911,
-    13662747456330091710,
-    11960680427306056040,
-    15150766304321120168,
-    9480712498131729809,
-    413066879180657
-]));
 
-#[rustfmt::skip]
+pub const G2_GENERATOR_Y_C0: Fq = field_new!(Fq, "2540920530670785421282147216459500299597350984927286541981768941513322907384197363939300669100157141915897390694710534916701460991329498878429407641200901974650893207493883271892985923686300670742888673128384350189165542294615");
-pub const G2_GENERATOR_X_C1: Fq = field_new!(Fq, BigInteger768([
+pub const G2_GENERATOR_Y_C1: Fq = field_new!(Fq, "7768974215205248225654340523113146529854477025417883273460270519532499370133542215655437897583245920162220909271982265882784840026754554720358946490360213245668334549692889019612343620295335698052097726325099648573158597797497");
-    10478274013728260378,
+pub const G2_GENERATOR_Y_C2: Fq = field_new!(Fq, "21014872727619291834131369222699267167761185012487859171850226473555446863681002782100371394603357586906967186931035615146288030444598977758226767063525819170917389755555854704165900869058188909090444447822088242504281789869689");
-    15392361149861123784,
-    17610084573134912261,
-    14474130264887792371,
-    16754378329454263996,
-    3186303078832273968,
-    7143189323629797683,
-    897486443141339765,
-    3675579496642106405,
-    4429391539758461550,
-    18414257413872084180,
-    331209511183940
-]));
-
-#[rustfmt::skip]
-pub const G2_GENERATOR_X_C2: Fq = field_new!(Fq, BigInteger768([
-    5133712986240959624,
-    10763134357204872827,
-    8672341403101541980,
-    18084133226637702602,
-    4689040548070804594,
-    7352115990101270007,
-    14358820512747653623,
-    10167201669589504005,
-    3117673189936726036,
-    9407838052466059644,
-    7246385421116647671,
-    464288782946273
-]));
-
-#[rustfmt::skip]
-pub const G2_GENERATOR_Y_C0: Fq = field_new!(Fq, BigInteger768([
-    710862246533630948,
-    9314168172257972041,
-    4722111556929662508,
-    4408676313209842703,
-    10491088158750500898,
-    13211840969745661306,
-    13985341743807087374,
-    7111198859398088665,
-    158194789363472891,
-    7682183069894584797,
-    9510326135325230913,
-    338826428359581
-]));
-
-#[rustfmt::skip]
-pub const G2_GENERATOR_Y_C1: Fq = field_new!(Fq, BigInteger768([
-    10889422482835557076,
-    6073207585023077555,
-    16059368148547235058,
-    14871121891082823821,
-    15156344465408677175,
-    12695157488434086405,
-    7840105431702704631,
-    4763759818130023465,
-    12295696339556388640,
-    352741974984397506,
-    10581333776569094279,
-    204002329498100
-]));
-
-#[rustfmt::skip]
-pub const G2_GENERATOR_Y_C2: Fq = field_new!(Fq, BigInteger768([
-    11263496889641203707,
-    16306762242042931049,
-    8275973312257833978,
-    12034012818098316014,
-    5392903691498465561,
-    4572635011530974247,
-    696221667645211601,
-    11098678912660456319,
-    5477755854538915619,
-    11442390115310629698,
-    10262065045802790037,
-    17901561410539
-]));

mnt6_753/src/curves/mod.rs

@@ -1,11 +1,10 @@
-use ark_ff::{biginteger::BigInteger768, field_new, fields::FpParameters, Fp3};
+use ark_ff::{biginteger::BigInteger768, field_new, Fp3};
-
 use ark_ec::models::{
     mnt6::{MNT6Parameters, MNT6},
     SWModelParameters,
 };
 
-use crate::{Fq, Fq3, Fq3Parameters, Fq6Parameters, FqParameters, Fr, FrParameters};
+use crate::{Fq, Fq3, Fq3Parameters, Fq6Parameters, Fr};
 
 pub mod g1;
 pub mod g2;
@@ -71,7 +70,7 @@ impl MNT6Parameters for Parameters {
     type G2Parameters = self::g2::Parameters;
 }
 
-pub const FQ_ZERO: Fq = field_new!(Fq, BigInteger768([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]));
+pub const FQ_ZERO: Fq = field_new!(Fq, "0");
-pub const FQ_ONE: Fq = field_new!(Fq, FqParameters::R);
+pub const FQ_ONE: Fq = field_new!(Fq, "1");
-pub const FR_ZERO: Fr = field_new!(Fr, BigInteger768([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]));
+pub const FR_ZERO: Fr = field_new!(Fr, "0");
-pub const FR_ONE: Fr = field_new!(Fr, FrParameters::R);
+pub const FR_ONE: Fr = field_new!(Fr, "1");

mnt6_753/src/curves/tests.rs

@@ -57,8 +57,8 @@ fn test_bilinearity() {
     let b: G2Projective = rng.gen();
     let s: Fr = rng.gen();
 
-    let sa = a.mul(s);
+    let sa = a.mul(s.into_repr());
-    let sb = b.mul(s);
+    let sb = b.mul(s.into_repr());
 
     let ans1 = MNT6_753::pairing(sa, b);
     let ans2 = MNT6_753::pairing(a, sb);

mnt6_753/src/fields/fq3.rs

@@ -1,6 +1,5 @@
-use crate::{fq::Fq, FQ_ONE};
+use crate::{fq::Fq, FQ_ONE, FQ_ZERO};
 use ark_ff::{
-    biginteger::BigInteger768 as BigInteger,
     field_new,
     fields::fp3::{Fp3, Fp3Parameters},
 };
@@ -13,20 +12,7 @@ impl Fp3Parameters for Fq3Parameters {
     type Fp = Fq;
 
     #[rustfmt::skip]
-    const NONRESIDUE: Fq = field_new!(Fq, BigInteger([
+    const NONRESIDUE: Fq = field_new!(Fq, "11");
-        5145524327033718740,
-        14149824967095184544,
-        5159730833497260295,
-        3902941467692815387,
-        15830098551216085679,
-        8665641533746801158,
-        17502192300007146323,
-        14483698255198590748,
-        546300946688995976,
-        4331975528992054828,
-        5311428878520309260,
-        495362057711802,
-    ]));
 
     const TWO_ADICITY: u32 = 30;
 
@@ -67,27 +53,14 @@ impl Fp3Parameters for Fq3Parameters {
         1926648890365125214,
         13532564555356297305,
         3114545746551080,
-        0,
     ];
 
+    /// (11^T, 0, 0)
     #[rustfmt::skip]
     const QUADRATIC_NONRESIDUE_TO_T: (Fq, Fq, Fq) = (
-        field_new!(Fq, BigInteger([
+        field_new!(Fq, "22168644070733283197994897338612733221095941481265408161807376791727499343083607817089033595478370212662133368413166734396127674284827734481031659015434501966360165723728649019457855887066657739809176476252080335185730833468062"),
-            2456656400918202012,
+        FQ_ZERO,
-            7503386575313625620,
+        FQ_ZERO,
-            1014314685003569848,
-            10473903647598823719,
-            15893393002146336511,
-            8418203974290622500,
-            9017296731996077946,
-            2923126592994124774,
-            9368756030960215800,
-            17344552888362241070,
-            10938255746876359306,
-            107029542386399,
-        ])),
-        field_new!(Fq, BigInteger([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])),
-        field_new!(Fq, BigInteger([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])),
     );
 
     // Coefficients for the Frobenius automorphism.
@@ -97,34 +70,8 @@ impl Fp3Parameters for Fq3Parameters {
     #[rustfmt::skip]
     const FROBENIUS_COEFF_FP3_C1: &'static [Fq] = &[
         FQ_ONE,
-        field_new!(Fq, BigInteger([
+        field_new!(Fq, "24129022407817241407134263419936114379815707076943508280977368156625538709102831814843582780138963119807143081677569721953561801075623741378629346409604471234573396989178424163772589090105392407118197799904755622897541183052132"),
-            7739145380395648640,
+        field_new!(Fq, "17769468560101711995209951371304522748355002843010440790806134764399814103468274958215310983651375801610927890210888755369611256415970113691066895445191924931148019336171640277697829047741006062493737919155152541323243293107868"),
-            1403348385939055902,
-            11220424057264707228,
-            4567962295300549271,
-            5929583493640677751,
-            17618207486530478833,
-            16600462137977359741,
-            16551719371247820635,
-            12057922785354578416,
-            13022559182829558162,
-            13308285686168533250,
-            313705269181021,
-        ])),
-        field_new!(Fq, BigInteger([
-            12973180669431253567,
-            17038664486452692616,
-            11034024317238370177,
-            7712681843988565810,
-            4725787734130647531,
-            2175028350442404679,
-            9323639551697167751,
-            14465264105466053583,
-            8569442212929419360,
-            17553812953652473294,
-            13991744086792172309,
-            48577617831792,
-        ])),
     ];
 
     // c2 = {c1[0], c1[2], c1[1]}

mnt6_753/src/fields/fq6.rs

@@ -1,6 +1,5 @@
 use crate::{Fq, Fq3, Fq3Parameters, FQ_ONE, FQ_ZERO};
 use ark_ff::{
-    biginteger::BigInteger768 as BigInteger,
     field_new,
     fields::fp6_2over3::{Fp6, Fp6Parameters},
 };
@@ -25,75 +24,10 @@ impl Fp6Parameters for Fq6Parameters {
     #[rustfmt::skip]
     const FROBENIUS_COEFF_FP6_C1: &'static [Fq] = &[
         FQ_ONE,
-        field_new!(Fq, BigInteger([
+        field_new!(Fq, "24129022407817241407134263419936114379815707076943508280977368156625538709102831814843582780138963119807143081677569721953561801075623741378629346409604471234573396989178424163772589090105392407118197799904755622897541183052133"),
-            2665418275744511426,
+        field_new!(Fq, "24129022407817241407134263419936114379815707076943508280977368156625538709102831814843582780138963119807143081677569721953561801075623741378629346409604471234573396989178424163772589090105392407118197799904755622897541183052132"),
-            7073776242814464967,
+        field_new!(Fq, "41898490967918953402344214791240637128170709919953949071783502921025352812571106773058893763790338921418070971888458477323173057491593855069696241854796396165721416325350064441470418137846398469611935719059908164220784476160000"),
-            4441331072847607829,
+        field_new!(Fq, "17769468560101711995209951371304522748355002843010440790806134764399814103468274958215310983651375801610927890210888755369611256415970113691066895445191924931148019336171640277697829047741006062493737919155152541323243293107868"),
-            5681016258918493042,
+        field_new!(Fq, "17769468560101711995209951371304522748355002843010440790806134764399814103468274958215310983651375801610927890210888755369611256415970113691066895445191924931148019336171640277697829047741006062493737919155152541323243293107869"),
-            18254896527151449163,
-            10681724016023285331,
-            1760041123371930134,
-            4557299868084578750,
-            16702481779049799698,
-            14149724469588165150,
-            5617650120443517591,
-            449252806040736,
-        ])),
-        field_new!(Fq, BigInteger([
-            7739145380395648640,
-            1403348385939055902,
-            11220424057264707228,
-            4567962295300549271,
-            5929583493640677751,
-            17618207486530478833,
-            16600462137977359741,
-            16551719371247820635,
-            12057922785354578416,
-            13022559182829558162,
-            13308285686168533250,
-            313705269181021,
-        ])),
-        field_new!(Fq, BigInteger([
-            2265581976117350591,
-            18442012872391748519,
-            3807704300793525789,
-            12280644139289115082,
-            10655371227771325282,
-            1346491763263331896,
-            7477357615964975877,
-            12570239403004322603,
-            2180620924574446161,
-            12129628062772479841,
-            8853285699251153944,
-            362282887012814,
-        ])),
-        field_new!(Fq, BigInteger([
-            12973180669431253567,
-            17038664486452692616,
-            11034024317238370177,
-            7712681843988565810,
-            4725787734130647531,
-            2175028350442404679,
-            9323639551697167751,
-            14465264105466053583,
-            8569442212929419360,
-            17553812953652473294,
-            13991744086792172309,
-            48577617831792,
-        ])),
-        field_new!(Fq, BigInteger([
-            7899453564780116353,
-            4262348269618550065,
-            4254931332821270779,
-            8825735807606509581,
-            17051100767641418943,
-            13685288953644762793,
-            12929962610801289759,
-            2470844602302811697,
-            13214001206624640642,
-            234234166701528666,
-            6301108521067156651,
-            184125154691507,
-        ])),
     ];
 }