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.
|Titel||Progress in Cryptology - Africacrypt 2008 (First International Conference on Cryptology in Africa, Casablanca, Morocco, June 11-14, 2008, Proceedings)|
|Plaats van productie||Berlin|
|ISBN van geprinte versie||978-3-540-68159-5|
|Status||Gepubliceerd - 2008|
|Naam||Lecture Notes in Computer Science|
|ISSN van geprinte versie||0302-9743|