MNT Elliptic Curves with Non-Prime Order

Fuente: arXiv
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Auteur principal: Grześkowiak, Maciej
Format: Preprint
Publié: 2024
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author Grześkowiak, Maciej
author_facet Grześkowiak, Maciej
contents Miyaji, Nakabayashi, and Takano proposed the algorithm for the construction of prime order pairing-friendly elliptic curves with embedding degrees $k=3,4,6$. We present a method for generating generalized MNT curves. The order of such pairing-friendly curves is the product of two prime numbers.
format Preprint
id arxiv_https___arxiv_org_abs_2409_20254
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle MNT Elliptic Curves with Non-Prime Order
Grześkowiak, Maciej
Cryptography and Security
Number Theory
Miyaji, Nakabayashi, and Takano proposed the algorithm for the construction of prime order pairing-friendly elliptic curves with embedding degrees $k=3,4,6$. We present a method for generating generalized MNT curves. The order of such pairing-friendly curves is the product of two prime numbers.
title MNT Elliptic Curves with Non-Prime Order
topic Cryptography and Security
Number Theory
url https://arxiv.org/abs/2409.20254