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NAF-2^k圆锥曲线数乘算法
引用本文:蔡昌许,蔡昌曙.NAF-2^k圆锥曲线数乘算法[J].曲靖师专学报,2009(6):49-51.
作者姓名:蔡昌许  蔡昌曙
作者单位:[1]曲靖师范学院计算机科学与工程学院,云南曲靖655011 [2]云南省电子政务网络管理中心,云南昆明650031
摘    要:在2^k进制数乘算法的基础上,结合NAF算法的特点,提出了一种新的数乘算法NAF-2^k数乘算法,该算法运算速度高于2^k进制数乘算法和NAF数乘算法.实验表明NAF-2^k数乘算法在椭圆曲线和圆锥曲线上进行点乘计算都是有效的.

关 键 词:信息安全  椭圆曲线数乘算法  圆锥曲线数乘算法

NAF- 2^k Conic Curve Scalar Multiplication Algorithm
Authors:Cai Changxu  Cai Changshu
Institution:1. School of Computer Science and Engineering, Qujing Normal University. Yunnan, Qujing Yunnan 655011 ; 2. E- government Network Management Center of Yunnan, Kunming Yunnan 650031, China)
Abstract:In the paper, on the base of 2^k base scalar multiplication algorithm, combined with NAF scalar multiplication algorithm, a novel scalar multiplication algorithm named NAF - 2^k scalar multiplication algorithm is proposed. It operates faster than 2^k and NAF - 2^k scalar multiplication algorithm. The experiment shows that it is an effective algorithm on both elliptic curve and conic curve.
Keywords:information security  elliptic curve scalar multiplication algorithm  conic curve scalar multiplication algorithm
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