Title :
A class of elliptic curves in edwards form
Author :
Yanfeng Qi ; Maozhi Xu ; Chunming Tang
Author_Institution :
School of Mathematical Sciences, Peking University, Beijing, 100871, China
Abstract :
The rapid development of pairing-based cryptography stimulates the arithmetic of other forms of elliptic curves. Elliptic curves in Edwards form have obtained some accomplishment. In this paper, we consider the arithmetic of a class of elliptic curves in Edwards form over binary fields with the equation x + y = 1 + dx2y2. The unified addition formula is given and we present explicit doubling formulas for these curves using 3M + 5S + 2D.
Keywords :
Elliptic curve cryptography; Elliptic curves; Hardware; Edwards curves; Ellptic curve; binary Edwards curves; the unified addition law;
Conference_Titel :
Conference Anthology, IEEE
Conference_Location :
China
DOI :
10.1109/ANTHOLOGY.2013.6784872
