Expand description
This library implements the BLS12_381 curve generated by Sean Bowe. The name denotes that it is a Barreto–Lynn–Scott curve of embedding degree 12, defined over a 381-bit (prime) field. This curve was intended to replace the BN254 curve to provide a higher security level without incurring a large performance overhead.
Curve information:
- Base field: q = 4002409555221667393417789825735904156556882819939007885332058136124031650490837864442687629129015664037894272559787
- Scalar field: r = 52435875175126190479447740508185965837690552500527637822603658699938581184513
- valuation(q - 1, 2) = 1
- valuation(r - 1, 2) = 32
- G1 curve equation: y^2 = x^3 + 4
- G2 curve equation: y^2 = x^3 + Fq2(4, 4)