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优化正规基域元素乘法的快速计算
引用本文:王红霞,赵宪生,周贇,覃思.优化正规基域元素乘法的快速计算[J].计算机工程,2008,34(24):79-81.
作者姓名:王红霞  赵宪生  周贇  覃思
作者单位:1. 成都理工大学信息工程学院,成都,610059
2. 衢州学院信电系,衢州,324000
基金项目:浙江省自然科学基金资助项目(Y105067)
摘    要:给出基域GF(2m)上优化正规基域元素乘法的一般计算公式,针对Rosing算法中预计算较多的问题,结合Ning-Yin算法思想,提出一种改进算法和3种预计算方法。与Ning-Yin算法相比,改进算法的效率提高了约20%。

关 键 词:公钥密码体制  优化正规基  域元素乘法
修稿时间: 

Efficient Calculation About Finite Field Multiplication in Optimal Normal Basis
WANG Hong-xia,ZHAO Xian-sheng,ZHOU Yun,QIN Si.Efficient Calculation About Finite Field Multiplication in Optimal Normal Basis[J].Computer Engineering,2008,34(24):79-81.
Authors:WANG Hong-xia  ZHAO Xian-sheng  ZHOU Yun  QIN Si
Affiliation:(1. College of Information Engineering, Chengdu University of Technology, Chengdu 610059; 2. Department of Information and Electronic, Quzhou College, Quzhou 324000)
Abstract:This paper gives the general formula of finite field multiplication in optimal normal basis. Toward the trouble of precomputation in Rosing, by adopting Ning-Yin algorithm idea, it puts forward an improved algorithm and three precomputation methods. As a result, the new algorithm improves its efficiency by about 20% compared with Ning-Yin algorithm.
Keywords:Elliptic Curve Cryptosystem(ECC)  optimal normal basis  finite field multiplication
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