ark-curves-cherry-picked/bls12_381/src/fields/fq12.rs
bls12_381/src/fields/fq12.rsRaw
1use crate::*;
2use ark_ff::{field_new, fields::*};
3
4pub type Fq12 = Fp12<Fq12Parameters>;
5
6#[derive(Clone, Copy)]
7pub struct Fq12Parameters;
8
9impl Fp12Parameters for Fq12Parameters {
10 type Fp6Params = Fq6Parameters;
11
12 const NONRESIDUE: Fq6 = field_new!(Fq6, FQ2_ZERO, FQ2_ONE, FQ2_ZERO);
13
14 const FROBENIUS_COEFF_FP12_C1: &'static [Fq2] = &[
15 // Fp2::NONRESIDUE^(((q^0) - 1) / 6)
16 field_new!(Fq2,
17 field_new!(Fq, "1"),
18 field_new!(Fq, "0"),
19 ),
20 // Fp2::NONRESIDUE^(((q^1) - 1) / 6)
21 field_new!(Fq2,
22 field_new!(Fq, "3850754370037169011952147076051364057158807420970682438676050522613628423219637725072182697113062777891589506424760"),
23 field_new!(Fq, "151655185184498381465642749684540099398075398968325446656007613510403227271200139370504932015952886146304766135027"),
24 ),
25 // Fp2::NONRESIDUE^(((q^2) - 1) / 6)
26 field_new!(Fq2,
27 field_new!(Fq, "793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620351"),
28 field_new!(Fq, "0"),
29 ),
30 // Fp2::NONRESIDUE^(((q^3) - 1) / 6)
31 field_new!(Fq2,
32 field_new!(Fq, "2973677408986561043442465346520108879172042883009249989176415018091420807192182638567116318576472649347015917690530"),
33 field_new!(Fq, "1028732146235106349975324479215795277384839936929757896155643118032610843298655225875571310552543014690878354869257"),
34 ),
35 // Fp2::NONRESIDUE^(((q^4) - 1) / 6)
36 field_new!(Fq2,
37 field_new!(Fq, "793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620350"),
38 field_new!(Fq, "0"),
39 ),
40 // Fp2::NONRESIDUE^(((q^5) - 1) / 6)
41 field_new!(Fq2,
42 field_new!(Fq, "3125332594171059424908108096204648978570118281977575435832422631601824034463382777937621250592425535493320683825557"),
43 field_new!(Fq, "877076961050607968509681729531255177986764537961432449499635504522207616027455086505066378536590128544573588734230"),
44 ),
45 // Fp2::NONRESIDUE^(((q^6) - 1) / 6)
46 field_new!(Fq2,
47 field_new!(Fq, "-1"),
48 field_new!(Fq, "0"),
49 ),
50 // Fp2::NONRESIDUE^(((q^7) - 1) / 6)
51 field_new!(Fq2,
52 field_new!(Fq, "151655185184498381465642749684540099398075398968325446656007613510403227271200139370504932015952886146304766135027"),
53 field_new!(Fq, "3850754370037169011952147076051364057158807420970682438676050522613628423219637725072182697113062777891589506424760"),
54 ),
55 // Fp2::NONRESIDUE^(((q^8) - 1) / 6)
56 field_new!(Fq2,
57 field_new!(Fq, "4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939436"),
58 field_new!(Fq, "0"),
59 ),
60 // Fp2::NONRESIDUE^(((q^9) - 1) / 6)
61 field_new!(Fq2,
62 field_new!(Fq, "1028732146235106349975324479215795277384839936929757896155643118032610843298655225875571310552543014690878354869257"),
63 field_new!(Fq, "2973677408986561043442465346520108879172042883009249989176415018091420807192182638567116318576472649347015917690530"),
64 ),
65 // Fp2::NONRESIDUE^(((q^10) - 1) / 6)
66 field_new!(Fq2,
67 field_new!(Fq, "4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939437"),
68 field_new!(Fq, "0"),
69 ),
70 // Fp2::NONRESIDUE^(((q^11) - 1) / 6)
71 field_new!(Fq2,
72 field_new!(Fq, "877076961050607968509681729531255177986764537961432449499635504522207616027455086505066378536590128544573588734230"),
73 field_new!(Fq, "3125332594171059424908108096204648978570118281977575435832422631601824034463382777937621250592425535493320683825557"),
74 ),
75 ];
76}