#![cfg_attr(not(feature = "std"), no_std)] #![deny( warnings, unused, future_incompatible, nonstandard_style, rust_2018_idioms )] #![forbid(unsafe_code)] //! This library implements 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 construct the extension field Fq3 #[cfg(feature = "r1cs")] pub mod constraints; mod curves; mod fields; pub use curves::*; pub use fields::*;