A Proposed Implementation of Elliptic Curve Exponentiation over Prime Field (Fp) in the Global Smart Cards

摘要：

this paper is explained about elliptic curve exponentiation over prime field (Fp ) which are Affine, projective, Jacobian, Chunnovsky-Jacobian and the modified Jacobian coordinate systems that how to implement elliptic curve exponentiation over prime Held (Fp) into Elliptic Curve (EC) encryption and digital signature in the global smart cards. These coordinate systems are explained the underlying arithmetic operations with formulae and geometrical diagrams. Point addition and doubling of coordinate systems over prime field Fp are mentioned for every coordinate system. Thus, we proposed mixed coordinate systems over prime field (Fp) in the EC encryption and digital signature of the global smart cards.

关键词： elliptic curve finite field exponentiation coordinate system DLP global smart card

作者: T. Abdurahmonov Eng-Thiam Yeoh Helmi Mohamed Hussain

作者单位: Faculty of Information Technology, Multimedia University, Jalan Multimedia, 63100 Cyberjaya, Selangor, Malaysia

会议类型: 国际会议

会议名称: 2010 International Conference on Information Security and Artificial Intelligence(2010年信息安全与人工智能国际会议 ISAI 2010)

会议地点: 成都

会议语种:英文

页码: 1296-1300

在线出版日期: 2010-12-17（万方平台首次上网日期，不代表论文的发表时间）