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

#546 in Cryptography

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2,345 downloads per month

MIT/Apache

110KB
1.5K SLoC

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

~4.5MB
~91K SLoC