#elliptic-curve #pairing

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BW6-761 适合配对的椭圆曲线的扩展

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0.4.1 2023 年 10 月 27 日

#1399加密学

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4 个包中使用 (3 个直接使用)

MIT/Apache

29KB
560

此库实现了在 [EG20] 中生成的 BW6_761 曲线。名称表示它使用 Brezing--Weng 方法生成,且其嵌入度数为 6。此曲线的主要特点是标量场等于 BLS12_377 曲线的基场。

曲线信息

  • 基场: q = 6891450384315732539396789682275657542479668912536150109513790160209623422243491736087683183289411687640864567753786613451161759120554247759349511699125301598951605099378508850372543631423596795951899700429969112842764913119068299
  • 标量场: r = 258664426012969094010652733694893533536393512754914660539884262666720468348340822774968888139573360124440321458177
  • valuation(q - 1, 2) = 1
  • valuation(r - 1, 2) = 46

G1 曲线方程: y^2 = x^3 + ax + b,其中

  • a = 0,
  • b = -1,

G2 曲线方程: y^2 = x^3 + Ax + B

  • A = 0
  • B = 4

依赖关系

~6MB
~118K SLoC