Design of Elliptic Curves with Controllable Lower Boundary of Extension Degree for Reduction Attacks

Autor:	Jinhui Chao, Shigeo Tsujii, Kazuo Tanada
Rok vydání:	2007
Předmět:	Elliptic curve point multiplication Elliptic curve Mathematics::Number Theory Mathematical analysis Complex multiplication Counting points on elliptic curves Schoof's algorithm Elliptic curve cryptography Twists of curves Supersingular elliptic curve Mathematics
Zdroj:	Advances in Cryptology — CRYPTO ’94 ISBN: 9783540583332 CRYPTO
DOI:	10.1007/3-540-48658-5_6
Popis:	In this paper, we present a design strategy of elliptic curves whose extension degrees needed for reduction attacks have a controllable lower boundary, based on the complex multiplication fields method of Atkin and Morain over prime fields.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::9eb6a3fc93691d57555282714e25565b https://doi.org/10.1007/3-540-48658-5_6 Zobrazit plný text záznamu