| 椭圆曲线密码基础算法及其实现 |
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| 引用本文： | 孙金龙,汪玉,阳凌怡,祝佳.椭圆曲线密码基础算法及其实现[J].武汉理工大学学报(信息与管理工程版),2007,29(5):33-36. |
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| 作者姓名： | 孙金龙 汪玉 阳凌怡 祝佳 |
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| 作者单位： | 1. 武汉大学,数学与统计学院,湖北,武汉,430072
2. 武汉大学,密码研究中心,湖北,武汉,430072 |
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| 摘 要： | 就椭圆曲线密码的基础算法从整体角度给出了新的模加、模减算法结构,并针对这种模加模减运算形成的模乘算法给出了一种精简的硬件实现结构。该结构具有占用资源少、运算速度快的特点。并且针对ECC点乘算法的实现问题进行了进一步研究,给出了一种改进的简洁高效的实现方法。
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| 关 键 词： | 椭圆曲线密码 模加算法 蒙哥马利模乘算法 椭圆曲线点乘算法 |
| 文章编号： | 1007-144X（2007）05-0033-04 |
| 修稿时间： | 2006-12-17 |
Elliptic Curve Cryptosystem Algorithms and Implementation |
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| SUN Jinlong,WANG Yu,YANG Lingyi,ZHU Jia.Elliptic Curve Cryptosystem Algorithms and Implementation[J].Journal of Wuhan University of Technology(Information & Management Engineering),2007,29(5):33-36. |
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| Authors: | SUN Jinlong WANG Yu YANG Lingyi ZHU Jia |
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| Affiliation: | Doctorate Candidate; School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China. |
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| Abstract: | Providing on the basic algorithm of Elliptic curve cryptosystems,a new structure for module addition and module subtraction algorithm is proposed.Moreover,a kind of hardware simplified and implemented structure are provided for module multiplication algorithm that operating on the improved module addition and module subtraction algorithms.This structure takes up the fast characteristic of making operation few of resource.Further research to the problem of implementation of ECC multiplication algorithm is carried on,and an improved succinct and high-efficient implementation method is designed. |
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| Keywords: | elliptic curve cryptosystems module addition Montgomery algorithm scalar multiplication algorithm |
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