This library implements the MNT4_298 curve generated by [BCTV14]. The name denotes that it is a Miyaji--Nakabayashi--Takano curve of embedding degree 4, 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 MNT6_298.
Curve information:
- Base field: q = 475922286169261325753349249653048451545124879242694725395555128576210262817955800483758081
- Scalar field: r = 475922286169261325753349249653048451545124878552823515553267735739164647307408490559963137
- valuation(q - 1, 2) = 17
- valuation(r - 1, 2) = 34
- G1 curve equation: y2 = x3 + ax + b, where
- a = 2
- b = 423894536526684178289416011533888240029318103673896002803341544124054745019340795360841685
- G2 curve equation: y2 = x3 + Ax + B, where
- A = Fq2 = (a * NON_RESIDUE, 0)
- B = Fq2(0, b * NON_RESIDUE)
- NON_RESIDUE = 17 is the quadratic non-residue used for constructing the extension field Fq2