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A Heuristic Method of Scalar Multiplication of Elliptic Curve over OEF 被引量:1

A Heuristic Method of Scalar Multiplication of Elliptic Curve over OEF
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摘要 Elliptic curve cryptosystem is the focus of public key cryptology nowadays, for it has many advantages RSA lacks. This paper introduced a new heuristic algorithm on computing multiple scalar multiplications of a given point. Based on this algorithm, a new method of computing scalar multiplication of elliptic curve over optimal extension field (OEF) using Frobenius map was presented. The new method is more efficient than the traditional ones. In the last part of this paper, the comparison was given in the end. Elliptic curve cryptosystem is the focus of public key cryptology nowadays, for it has many advantages RSA lacks. This paper introduced a new heuristic algorithm on computing multiple scalar multiplications of a given point. Based on this algorithm, a new method of computing scalar multiplication of elliptic curve over optimal extension field (OEF) using Frobenius map was presented. The new method is more efficient than the traditional ones. In the last part of this paper, the comparison was given in the end.
出处 《Journal of Shanghai Jiaotong university(Science)》 EI 2006年第2期177-183,共7页 上海交通大学学报(英文版)
基金 NationalNaturalScienceFoundationofChina(No.90304014),NationalHighTechnologyResearchandDevelopmentProgramofChina(863Program)(No.2005AA114160)andNationalBasicResearchProgramofChina(973Program)(No.2003CB314805)
关键词 CRYPTOLOGY elliptic curve optimal extension field FROBENIUS 探索方法 标量 增殖方法 椭圆形
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