#cryptography #finite-fields #elliptic-curves

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
0.4.0-alpha.2 Dec 28, 2022
0.4.0-alpha.1 Nov 29, 2022
0.3.0 Jun 6, 2021
0.2.0 Mar 25, 2021

#382 in Cryptography

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1,697 downloads per month

MIT/Apache

18KB
90 lines

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

Dependencies

~4.5MB
~95K SLoC