#finite-fields

no-std ark-mnt4-298

The MNT4-298 pairing-friendly elliptic curve

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

#2431 in Cryptography

Download history 68/week @ 2023-10-26 83/week @ 2023-11-02 54/week @ 2023-11-09 69/week @ 2023-11-16 78/week @ 2023-11-23 77/week @ 2023-11-30 61/week @ 2023-12-07 76/week @ 2023-12-14 66/week @ 2023-12-21 42/week @ 2023-12-28 65/week @ 2024-01-04 73/week @ 2024-01-11 167/week @ 2024-01-18 166/week @ 2024-01-25 52/week @ 2024-02-01 71/week @ 2024-02-08

471 downloads per month
Used in 9 crates

MIT/Apache

25KB
260 lines

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: y^2 = x^3 + ax + b, where
    • a = 2
    • b = 423894536526684178289416011533888240029318103673896002803341544124054745019340795360841685
  • G2 curve equation: y^2 = x^3 + 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

Dependencies

~5.5MB
~110K SLoC