A Class of Elliptic Curves in Edwards Form
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 = I+ dx2y2. The unified addition formula is given and we present explicit doubling formulas for these curves using 3M + 5S + 2D.
Ellptic curve Edwards curves binary Edwards curves the unified addition law
Yanfeng Qi Maozhi Xu Chunming Tang
School of Mathematical Sciences, Peking University, Beijing, 100871, China Key Laboratory of Network and Software Security Assurance, School of Mathematical Sciences,Peking Un School of Mathematical Sciences, Peking University, Beijing, 100871,China
国际会议
重庆
英文
79-82
2011-08-20(万方平台首次上网日期,不代表论文的发表时间)