#elliptic-curve #finite-fields

no-std ark-bls12-381-zypher

The BLS12-381 pairing-friendly elliptic curve

1 unstable release

0.4.0 May 26, 2024

#2643 in Cryptography


Used in ark-ed-on-bls12-381-zyphe…

MIT/Apache

480KB
3K SLoC

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)

Dependencies

~5.5MB
~99K SLoC