Crate ark_bw6_761

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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

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Type Definitions