## no-std ark-ed-on-bw6-761

A Twisted Edwards curve defined over the scalar field of the BW6-761 curve

### 5 unstable releases

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

#2382 in Cryptography

MIT/Apache

20KB
90 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This repository is no longer maintained, and PRs to add or modify curves should instead be made against arkworks-rs/algebra; all the curves implemented here have moved to the `curves` folder of that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 BW6_761. It is the same curve as that in `ark-ed_on_cp6_782`. This allows defining cryptographic primitives that use elliptic curves over the scalar field of the latter curve. This curve was generated as part of the paper [BCGMMW20, “Zexe”].

Curve information:

• Base field: q = 258664426012969094010652733694893533536393512754914660539884262666720468348340822774968888139573360124440321458177
• Scalar field: r = 32333053251621136751331591711861691692049189094364332567435817881934511297123972799646723302813083835942624121493
• Valuation(q - 1, 2) = 46
• Valuation(r - 1, 2) = 2
• Curve equation: ax^2 + y^2 =1 + dx^2y^2, where
• a = -1
• d = 79743

~5.5MB
~112K SLoC