This library implements a twisted Edwards curve whose base field is the scalar field of the curve CP6. 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: ax2 + y2 =1 + dx2y2, where
- a = -1
- d = 79743