| 抵抗SPA和DPA的椭圆曲线上点的标量乘法 |
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| 引用本文： | 廖嘉,;夏国坤,;王立鹏,;刘寅立.抵抗SPA和DPA的椭圆曲线上点的标量乘法[J].天津轻工业学院学报,2009(2):67-69. |
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| 作者姓名： | 廖嘉 ;夏国坤 ;王立鹏 ;刘寅立 |
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| 作者单位： | [1]天津科技大学理学院,天津300457; [2]河北工业大学计算机科学与软件学院,天津300130 |
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| 基金项目： | 天津科技大学科研基金资助项目（20060227） |
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| 摘 要： | 标量乘法是椭圆曲线密码体制中的一种基本算法．针对二进制方法和抵抗SPA的二进制方法无法抵抗倍点攻击和差分攻击的缺点，提出了两种改进方法．方法一给出了区分奇数和偶数的标量乘法，计算标量乘法时完全对奇数进行操作，从而能够抵抗倍点攻击．方法二采用同时随机化标量和随机化基点的方法，从而达到更好的随机性．这两种方法计算量不大且简单易行．
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| 关 键 词： | 椭圆曲线 标量乘法 简单能量分析 差分能量分析 |
Scalar Multiplication on ECC Resistant Against SPA and DPA |
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| Affiliation: | LIAO Jia , XIA Guo-kun , WANG Li-peng , LIU Yin-li (1. College of Science,Tianjin University of Science ＆ Technology,Tianjin 300457,China; 2. School of Computer Science and Engineering,Hebei University of Technology, Tianjin 300130,China) |
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| Abstract: | Two commonly used methods of scalar multiplication,binary methods and SPA-resistant binary methods were analyzed. To against doubling attack and DPA attack,the methods were improved. First,even numbers were turned to odd numbers by add 1 ,then ‘0＇ will not be handled,so doubling attack can be resisted. Second,the effect of random scalar and random point is proved. The quantity of computations is not large and it＇s easy to be realized. |
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| Keywords: | elliptic curve scalar multiplication SPA DPA |
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