A class of elliptic curves in edwards form
Yanfeng Qi, Maozhi Xu, Chunming Tang · IEEE Conference Anthology · 2013
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.