Cryptographically Strong Elliptic Curves of Prime Order

Autor:	Marcin Barański, Rafał Gliwa, Janusz Szmidt
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	mersenne primes elliptic curves security requirements search algorithm magma Electrical engineering. Electronics. Nuclear engineering TK1-9971 Telecommunication TK5101-6720
Zdroj:	International Journal of Electronics and Telecommunications, Vol vol. 67, Iss No 2, Pp 207-212 (2021)
Druh dokumentu:	article
ISSN:	2081-8491 2300-1933
DOI:	10.24425/ijet.2021.135966
Popis:	The purpose of this paper is to generate cryptographically strong elliptic curves over prime fields Fp, where p is a Mersenne prime, one of the special primes or a random prime. We search for elliptic curves which orders are also prime numbers. The cryptographically strong elliptic curves are those for which the discrete logarithm problem is computationally hard. The required mathematical conditions are formulated in terms of parameters characterizing the elliptic curves.We present an algorithm to generate such curves. Examples of elliptic curves of prime order are generated with Magma.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/4af597d08258412bb5286e2dd9074cbf Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF