MNT Elliptic Curves with Non-Prime Order
Cryptography and Security
2026-01-07 v4 Number Theory
Abstract
Miyaji, Nakabayashi, and Takano proposed the algorithm for the construction of prime order pairing-friendly elliptic curves with embedding degrees . We present a method for generating generalized MNT curves. The order of such pairing-friendly curves is the product of two prime numbers.
Cite
@article{arxiv.2409.20254,
title = {MNT Elliptic Curves with Non-Prime Order},
author = {Maciej Grześkowiak},
journal= {arXiv preprint arXiv:2409.20254},
year = {2026}
}