A Class of Elliptic Curves in Edwards Form

摘要：

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.

关键词： Ellptic curve Edwards curves binary Edwards curves the unified addition law

作者: Yanfeng Qi Maozhi Xu Chunming Tang

作者单位: 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

会议类型: 国际会议

会议名称: The 13th IEEE Joint International Computer Science and Information Technology Conference(2011年第13届IEEE联合国际计算机科学与信息技术会议 JICSIT 2011)

会议地点: 重庆

会议语种:英文

页码: 79-82

在线出版日期: 2011-08-20（万方平台首次上网日期，不代表论文的发表时间）