#elliptic-curve #pairing #extension

no-std ark-bw6-761-ext

Extensions for the BW6-761 pairing-friendly elliptic curve

1 unstable release

0.4.1 Oct 27, 2023

#1361 in Cryptography

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167,648 downloads per month
Used in 4 crates (3 directly)

MIT/Apache

29KB
560 lines

This library implements the BW6_761 curve generated in [EG20]. The name denotes that it is a curve generated using the Brezing--Weng method, and that its embedding degree is 6. The main feature of this curve is that the scalar field equals the base field of the BLS12_377 curve.

Curve information:

  • Base field: q = 6891450384315732539396789682275657542479668912536150109513790160209623422243491736087683183289411687640864567753786613451161759120554247759349511699125301598951605099378508850372543631423596795951899700429969112842764913119068299
  • Scalar field: r = 258664426012969094010652733694893533536393512754914660539884262666720468348340822774968888139573360124440321458177
  • valuation(q - 1, 2) = 1
  • valuation(r - 1, 2) = 46

G1 curve equation: y^2 = x^3 + ax + b, where

  • a = 0,
  • b = -1,

G2 curve equation: y^2 = x^3 + Ax + B

  • A = 0
  • B = 4

Dependencies

~6MB
~121K SLoC