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}