Lib.rs

This library implements the MNT6_298 curve generated in [BCTV14]. The name denotes that it is a Miyaji--Nakabayashi--Takano curve of embedding degree 6, defined over a 298-bit (prime) field. The main feature of this curve is that its scalar field and base field respectively equal the base field and scalar field of MNT4_298.

Curve information:

• Base field: q = 475922286169261325753349249653048451545124878552823515553267735739164647307408490559963137
• Scalar field: r = 475922286169261325753349249653048451545124879242694725395555128576210262817955800483758081
• valuation(q - 1, 2) = 34
• valuation(r - 1, 2) = 17
• G1 curve equation: y^2 = x^3 + ax + b, where
  • a = 11
  • b = 106700080510851735677967319632585352256454251201367587890185989362936000262606668469523074
• G2 curve equation: y^2 = x^3 + Ax + B, where
  • A = Fq2 = (0, 0, a)
  • B = Fq2(b * NON_RESIDUE, 0, 0)
  • NON_RESIDUE = 5 is the cubic non-residue used to construct the field extension Fq3