Twisted Edwards Curves.

Autor: Bernstein, Daniel J., Birkner, Peter, Joye, Marc, Lange, Tanja, Peters, Christiane
Zdroj: Progress in Cryptology - AFRICACRYPT 2008; 2008, p389-405, 17p
Abstrakt: This paper introduces ˵twisted Edwards curves,″ a generalization of the recently introduced Edwards curves; shows that twisted Edwards curves include more curves over finite fields, and in particular every elliptic curve in Montgomery form; shows how to cover even more curves via isogenies; presents fast explicit formulas for twisted Edwards curves in projective and inverted coordinates; and shows that twisted Edwards curves save time for many curves that were already expressible as Edwards curves. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index