## no-std ark-ed-on-mnt4-753

A Twisted Edwards curve defined over the scalar field of the MNT4-753 curve

### 5 unstable releases

 0.4.0 Jan 17, 2023 Dec 28, 2022 Nov 29, 2022 Jun 6, 2021 Mar 25, 2021

#2458 in Cryptography

MIT/Apache

43KB
364 lines

# Notice

This repository is no longer maintained, and PRs to add or modify curves should instead be made against arkworks-rs/algebra; all the curves implemented here have moved to the `curves` folder of that repository.

## Curve implementations

This repository contains implementations of some popular elliptic curves. The curve API implemented here matches the curve traits defined here in the arkworks-rs/algebra repository.

### `lib.rs`:

This library implements a twisted Edwards curve whose base field is the scalar field of the curve MNT4-753. This allows defining cryptographic primitives that use elliptic curves over the scalar field of the latter curve.

Curve information:

• Base field: q = 41898490967918953402344214791240637128170709919953949071783502921025352812571106773058893763790338921418070971888458477323173057491593855069696241854796396165721416325350064441470418137846398469611935719059908164220784476160001
• Scalar field: r = 5237311370989869175293026848905079641021338739994243633972937865128169101571388346632361720473792365177258871486054600656048925740061347509722287043067341250552640264308621296888446513816907173362124418513727200975392177480577
• Valuation(q - 1, 2) = 30
• Valuation(r - 1, 2) = 7
• Curve equation: ax^2 + y^2 =1 + dx^2y^2, where
• a = -1
• d = 317690 mod q

~5.5MB
~111K SLoC