//! Blurb sourced from https://github.com/arkworks-rs //! This library implements the base field of the MNT6_753 curve generated in //! [[BCTV14]](https://eprint.iacr.org/2014/595). The name denotes that it is a //! Miyaji--Nakabayashi--Takano curve of embedding degree 6, defined over a //! 753-bit (prime) field. The main feature of this curve is that its scalar //! field and base field respectively equal the base field and scalar field of //! MNT4_753. //! //! Curve information: //! * Base field: q = 0x01C4C62D92C41110229022EEE2CDADB7F997505B8FAFED5EB7E8F96C97D87307FDB925E8A0ED8D99D124D9A15AF79DB26C5C28C859A99B3EEBCA9429212636B9DFF97634993AA4D6C381BC3F0057974EA099170FA13A4FD90776E240000001 //! * Scalar field: r = 0x01C4C62D92C41110229022EEE2CDADB7F997505B8FAFED5EB7E8F96C97D87307FDB925E8A0ED8D99D124D9A15AF79DB117E776F218059DB80F0DA5CB537E38685ACCE9767254A4638810719AC425F0E39D54522CDD119F5E9063DE245E8001 //! * valuation(q - 1, 2) = 30 //! * valuation(r - 1, 2) = 15 //! * G1 curve equation: y^2 = x^3 + ax + b, where //! * a = 11 //! * b = 0x7DA285E70863C79D56446237CE2E1468D14AE9BB64B2BB01B10E60A5D5DFE0A25714B7985993F62F03B22A9A3C737A1A1E0FCF2C43D7BF847957C34CCA1E3585F9A80A95F401867C4E80F4747FDE5ABA7505BA6FCF2485540B13DFC8468A //! * G2 curve equation: y^2 = x^3 + Ax + B, where //! * A = Fq3(0, 0, a) //! * B = Fq3(b * NON_RESIDUE, 0, 0) //! * NON_RESIDUE = 11 is the cubic non-residue used to conpub struct the //! extension field Fq3 use crate::BigNumParamsTrait; use crate::runtime_bignum::BigNumInstance; use crate::runtime_bignum::BigNumParamsTrait as RuntimeBigNumParamsTrait; use crate::utils::u60_representation::U60Repr; pub struct MNT6_753_Fq_Params {} impl RuntimeBigNumParamsTrait<7> for MNT6_753_Fq_Params { fn modulus_bits() -> u32 { 753 } } impl BigNumParamsTrait<7> for MNT6_753_Fq_Params { fn get_instance() -> BigNumInstance<7, Self> { MNT6_753_Fq_Instance } fn modulus_bits() -> u32 { 753 } } pub global MNT6_753_Fq_Instance: BigNumInstance<7, MNT6_753_Fq_Params> = BigNumInstance { modulus: [ 0xa099170fa13a4fd90776e240000001, 0xf97634993aa4d6c381bc3f0057974e, 0x28c859a99b3eebca9429212636b9df, 0xe8a0ed8d99d124d9a15af79db26c5c, 0x8fafed5eb7e8f96c97d87307fdb925, 0xc41110229022eee2cdadb7f997505b, 0x01c4c62d92 ], double_modulus: [ 0x0141322e1f42749fb20eedc480000002, 0x01f2ec69327549ad8703787e00af2e9c, 0x015190b353367dd7952852424c6d73be, 0x01d141db1b33a249b342b5ef3b64d8b7, 0x011f5fdabd6fd1f2d92fb0e60ffb724a, 0x01882220452045ddc59b5b6ff32ea0b6, 0x03898c5b24 ], modulus_u60: U60Repr { limbs: [ 0x090776e240000001, 0x0a099170fa13a4fd, 0x0381bc3f0057974e, 0x0f97634993aa4d6c, 0x0a9429212636b9df, 0x028c859a99b3eebc, 0x09a15af79db26c5c, 0x0e8a0ed8d99d124d, 0x0c97d87307fdb925, 0x08fafed5eb7e8f96, 0x02cdadb7f997505b, 0x0c41110229022eee, 0x01c4c62d92, 0x00]}, modulus_u60_x4: U60Repr { limbs: [ 0x090776e240000001, 0x0a099170fa13a4fd, 0x0381bc3f0057974e, 0x0f97634993aa4d6c, 0x0a9429212636b9df, 0x028c859a99b3eebc, 0x09a15af79db26c5c, 0x0e8a0ed8d99d124d, 0x0c97d87307fdb925, 0x08fafed5eb7e8f96, 0x02cdadb7f997505b, 0x0c41110229022eee, 0x01c4c62d92, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00] }, redc_param: [ 0x2dae11d15867718ec70f5ff059bba2, 0x76d65fe7e00ba391da260f2623ff9a, 0x140a086edaa60c58eb476bdedcb352, 0x300e0ede1965cbf72f0aa9bee81208, 0x7fb932cae2aba9a5d17c1ff73538ba, 0x82727c6eaef38056aaa0aaedb05746, 0x242f916cfa ] };