电子学报2011，Vol.39Issue(8)：1733-1738,6.
环Zn上椭圆曲线的群法则及其在Paillier系统中的应用
Group Law of Elliptic Curves over Zn and Its Application in Paillier Schemes
摘要
Abstract
Group law of rational points E( Zn) on elliptic curves E over Zn and application of this group law are studied in this paper. We present explicit addition formulae to make ￡( Zn ) an abelian group. This solves the problem that some points addition can not be defined using other addition laws in the literature. For the convenient cryptographic application of such elliptic curves, we give the group structure of E(Zn) under our addition law. We propose a remedy for the original elliptic curves Paillier schemes which have security defectiveness.关键词
环上椭圆曲线/加法法则/群结构/椭圆曲线Paillier系统Key words
elliptic curve over ring/ addition law/ group structure/ Paillier schemes分类
信息技术与安全科学引用本文复制引用
张李军,王鲲鹏..环Zn上椭圆曲线的群法则及其在Paillier系统中的应用[J].电子学报,2011,39(8):1733-1738,6.基金项目
国家973重点基础研究发展计划(No.2007CB311201) （No.2007CB311201）
国家自然科学基金(No.60970153) （No.60970153）
