Finding More Non-Supersingular Elliptic Curves for Pairing-Based Cryptosystems

摘要：

　　Finding suitable non-supersingular elliptic curves for pairing-based cryptosystems becomes an important issue for the modem public-key cryptography after the proposition of id-based encryption scheme and short signature scheme.In previous work different algorithms have been proposed for finding such elliptic curves when embedding degree k ∈ ”3, 4, 6” and cofactor h ∈ ”1, 2, 3, 4, 5”.In this paper a new method is presented to find more non-supersingular elliptic curves for pairing-based cryptosystems with general embedding degree k and large values of cofactor h.In addition, some effective parameters of these non-supersingular elliptic curves are provided in this paper.

关键词： Family of Group Order kth Root of Unity Non-Supersingular Elliptic Curves Polynomial Field

作者: Liping XIN

作者单位: the School of Electrical and Electronic Engineering,Nayyang Technological University,Yinchuan,China

会议类型: 国内会议

会议名称: 第四届信息电子与计算机工程国际会议(The 4th International Conference on Information ,Electronic and Computer Science)

会议地点: 泰安

会议语种:英文

页码: 216-220

在线出版日期: 2012-11-24（万方平台首次上网日期，不代表论文的发表时间）