ark-curves-cherry-picked/bn254/src/fields/fq12.rs
bn254/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!(MontFp!(Fq, "1"), MontFp!(Fq, "0"),),
18 // Fp2::NONRESIDUE^(((q^1) - 1) / 6)
19 QuadExt!(
20 MontFp!(
21 Fq,
22 "8376118865763821496583973867626364092589906065868298776909617916018768340080"
23 ),
24 MontFp!(
25 Fq,
26 "16469823323077808223889137241176536799009286646108169935659301613961712198316"
27 ),
28 ),
29 // Fp2::NONRESIDUE^(((q^2) - 1) / 6)
30 QuadExt!(
31 MontFp!(
32 Fq,
33 "21888242871839275220042445260109153167277707414472061641714758635765020556617"
34 ),
35 MontFp!(Fq, "0"),
36 ),
37 // Fp2::NONRESIDUE^(((q^3) - 1) / 6)
38 QuadExt!(
39 MontFp!(
40 Fq,
41 "11697423496358154304825782922584725312912383441159505038794027105778954184319"
42 ),
43 MontFp!(
44 Fq,
45 "303847389135065887422783454877609941456349188919719272345083954437860409601"
46 ),
47 ),
48 // Fp2::NONRESIDUE^(((q^4) - 1) / 6)
49 QuadExt!(
50 MontFp!(
51 Fq,
52 "21888242871839275220042445260109153167277707414472061641714758635765020556616"
53 ),
54 MontFp!(Fq, "0"),
55 ),
56 // Fp2::NONRESIDUE^(((q^5) - 1) / 6)
57 QuadExt!(
58 MontFp!(
59 Fq,
60 "3321304630594332808241809054958361220322477375291206261884409189760185844239"
61 ),
62 MontFp!(
63 Fq,
64 "5722266937896532885780051958958348231143373700109372999374820235121374419868"
65 ),
66 ),
67 // Fp2::NONRESIDUE^(((q^6) - 1) / 6)
68 QuadExt!(MontFp!(Fq, "-1"), MontFp!(Fq, "0"),),
69 // Fp2::NONRESIDUE^(((q^7) - 1) / 6)
70 QuadExt!(
71 MontFp!(
72 Fq,
73 "13512124006075453725662431877630910996106405091429524885779419978626457868503"
74 ),
75 MontFp!(
76 Fq,
77 "5418419548761466998357268504080738289687024511189653727029736280683514010267"
78 ),
79 ),
80 // Fp2::NONRESIDUE^(((q^8) - 1) / 6)
81 QuadExt!(
82 MontFp!(
83 Fq,
84 "2203960485148121921418603742825762020974279258880205651966"
85 ),
86 MontFp!(Fq, "0"),
87 ),
88 // Fp2::NONRESIDUE^(((q^9) - 1) / 6)
89 QuadExt!(
90 MontFp!(
91 Fq,
92 "10190819375481120917420622822672549775783927716138318623895010788866272024264"
93 ),
94 MontFp!(
95 Fq,
96 "21584395482704209334823622290379665147239961968378104390343953940207365798982"
97 ),
98 ),
99 // Fp2::NONRESIDUE^(((q^10) - 1) / 6)
100 QuadExt!(
101 MontFp!(
102 Fq,
103 "2203960485148121921418603742825762020974279258880205651967"
104 ),
105 MontFp!(Fq, "0"),
106 ),
107 // Fp2::NONRESIDUE^(((q^11) - 1) / 6)
108 QuadExt!(
109 MontFp!(
110 Fq,
111 "18566938241244942414004596690298913868373833782006617400804628704885040364344"
112 ),
113 MontFp!(
114 Fq,
115 "16165975933942742336466353786298926857552937457188450663314217659523851788715"
116 ),
117 ),
118 ];
119}