ark_mnt6_753/
lib.rs

1#![cfg_attr(not(feature = "std"), no_std)]
2#![deny(
3    warnings,
4    unused,
5    future_incompatible,
6    nonstandard_style,
7    rust_2018_idioms
8)]
9#![forbid(unsafe_code)]
10
11//! This library implements the MNT6_753 curve generated in
12//! [\[BCTV14\]](https://eprint.iacr.org/2014/595). The name denotes that it is a
13//! Miyaji--Nakabayashi--Takano curve of embedding degree 6, defined over a
14//! 753-bit (prime) field. The main feature of this curve is that its scalar
15//! field and base field respectively equal the base field and scalar field of
16//! MNT4_753.
17//!
18//! Curve information:
19//! * Base field: q = 0x01C4C62D92C41110229022EEE2CDADB7F997505B8FAFED5EB7E8F96C97D87307FDB925E8A0ED8D99D124D9A15AF79DB26C5C28C859A99B3EEBCA9429212636B9DFF97634993AA4D6C381BC3F0057974EA099170FA13A4FD90776E240000001
20//! * Scalar field: r = 0x01C4C62D92C41110229022EEE2CDADB7F997505B8FAFED5EB7E8F96C97D87307FDB925E8A0ED8D99D124D9A15AF79DB117E776F218059DB80F0DA5CB537E38685ACCE9767254A4638810719AC425F0E39D54522CDD119F5E9063DE245E8001
21//! * valuation(q - 1, 2) = 30
22//! * valuation(r - 1, 2) = 15
23//! * G1 curve equation: y^2 = x^3 + ax + b, where
24//!    * a = 11
25//!    * b = 0x7DA285E70863C79D56446237CE2E1468D14AE9BB64B2BB01B10E60A5D5DFE0A25714B7985993F62F03B22A9A3C737A1A1E0FCF2C43D7BF847957C34CCA1E3585F9A80A95F401867C4E80F4747FDE5ABA7505BA6FCF2485540B13DFC8468A
26//! * G2 curve equation: y^2 = x^3 + Ax + B, where
27//!    * A = Fq3(0, 0, a)
28//!    * B = Fq3(b * NON_RESIDUE, 0, 0)
29//!    * NON_RESIDUE = 11 is the cubic non-residue used to construct the
30//!      extension field Fq3
31
32#[cfg(feature = "r1cs")]
33pub mod constraints;
34mod curves;
35mod fields;
36
37pub use curves::*;
38pub use fields::*;
ark_mnt6_753/lib.rs

ark_mnt6_753/
lib.rs
