arnaucube
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ark-curves-cherry-picked/bls12_381/src/fields/fq12.rs
bls12_381/src/fields/fq12.rsRaw
 1use ark_ff::{fields::*, CubicExt, MontFp, QuadExt};
 2
 3use crate::*;
 4
 5pub type Fq12 = Fp12<Fq12Config>;
 6
 7#[derive(Clone, Copy)]
 8pub struct Fq12Config;
 9
10impl Fp12Config for Fq12Config {
11    type Fp6Config = Fq6Config;
12
13    const NONRESIDUE: Fq6 = CubicExt!(FQ2_ZERO, FQ2_ONE, FQ2_ZERO);
14
15    const FROBENIUS_COEFF_FP12_C1: &'static [Fq2] = &[
16        // Fp2::NONRESIDUE^(((q^0) - 1) / 6)
17        QuadExt!(
18            MontFp!(Fq, "1"),
19            MontFp!(Fq, "0"),
20        ),
21        // Fp2::NONRESIDUE^(((q^1) - 1) / 6)
22        QuadExt!(
23            MontFp!(Fq, "3850754370037169011952147076051364057158807420970682438676050522613628423219637725072182697113062777891589506424760"),
24            MontFp!(Fq, "151655185184498381465642749684540099398075398968325446656007613510403227271200139370504932015952886146304766135027"),
25        ),
26        // Fp2::NONRESIDUE^(((q^2) - 1) / 6)
27        QuadExt!(
28            MontFp!(Fq, "793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620351"),
29            MontFp!(Fq, "0"),
30        ),
31        // Fp2::NONRESIDUE^(((q^3) - 1) / 6)
32        QuadExt!(
33            MontFp!(Fq, "2973677408986561043442465346520108879172042883009249989176415018091420807192182638567116318576472649347015917690530"),
34            MontFp!(Fq, "1028732146235106349975324479215795277384839936929757896155643118032610843298655225875571310552543014690878354869257"),
35        ),
36        // Fp2::NONRESIDUE^(((q^4) - 1) / 6)
37        QuadExt!(
38            MontFp!(Fq, "793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620350"),
39            MontFp!(Fq, "0"),
40        ),
41        // Fp2::NONRESIDUE^(((q^5) - 1) / 6)
42        QuadExt!(
43            MontFp!(Fq, "3125332594171059424908108096204648978570118281977575435832422631601824034463382777937621250592425535493320683825557"),
44            MontFp!(Fq, "877076961050607968509681729531255177986764537961432449499635504522207616027455086505066378536590128544573588734230"),
45        ),
46        // Fp2::NONRESIDUE^(((q^6) - 1) / 6)
47        QuadExt!(
48            MontFp!(Fq, "-1"),
49            MontFp!(Fq, "0"),
50        ),
51        // Fp2::NONRESIDUE^(((q^7) - 1) / 6)
52        QuadExt!(
53            MontFp!(Fq, "151655185184498381465642749684540099398075398968325446656007613510403227271200139370504932015952886146304766135027"),
54            MontFp!(Fq, "3850754370037169011952147076051364057158807420970682438676050522613628423219637725072182697113062777891589506424760"),
55        ),
56        // Fp2::NONRESIDUE^(((q^8) - 1) / 6)
57        QuadExt!(
58            MontFp!(Fq, "4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939436"),
59            MontFp!(Fq, "0"),
60        ),
61        // Fp2::NONRESIDUE^(((q^9) - 1) / 6)
62        QuadExt!(
63            MontFp!(Fq, "1028732146235106349975324479215795277384839936929757896155643118032610843298655225875571310552543014690878354869257"),
64            MontFp!(Fq, "2973677408986561043442465346520108879172042883009249989176415018091420807192182638567116318576472649347015917690530"),
65        ),
66        // Fp2::NONRESIDUE^(((q^10) - 1) / 6)
67        QuadExt!(
68            MontFp!(Fq, "4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939437"),
69            MontFp!(Fq, "0"),
70        ),
71        // Fp2::NONRESIDUE^(((q^11) - 1) / 6)
72        QuadExt!(
73            MontFp!(Fq, "877076961050607968509681729531255177986764537961432449499635504522207616027455086505066378536590128544573588734230"),
74            MontFp!(Fq, "3125332594171059424908108096204648978570118281977575435832422631601824034463382777937621250592425535493320683825557"),
75        ),
76    ];
77}