| 基于Chebyshev多项式的椭圆曲线密码系统算法 |
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| 引用本文： | 赵 耿,刘明来,龚高翔,李旭飞.基于Chebyshev多项式的椭圆曲线密码系统算法[J].计算机应用研究,2013,30(11):3388-3389. |
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| 作者姓名： | 赵 耿 刘明来 龚高翔 李旭飞 |
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| 作者单位： | 1. 北京电子科技学院, 北京 100070; 2. 西安电子科技大学 通信工程学院, 西安 710071 |
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| 基金项目： | 国家自然科学基金资助项目（61170037）; 中央高校基本科研业务费专项资金资助项目（YZDJ1201, XKJS-2012LIZH） |
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| 摘 要： | 通过结合Chebyshev多项式与椭圆曲线, 构造基于Chebyshev多项式的椭圆曲线密码系统算法。利用有限域上Chebyshev良好的半群特性和椭圆曲线上的性质, 实现了在椭圆曲线上的加密算法。该算法具有混沌密码和椭圆曲线密码算法的优点。通过对该算法的分析, 认为算法简单、安全性高、方案可行。
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| 关 键 词： | Chebyshev多项式 椭圆曲线密码算法 混沌密码 半群特性 |
Elliptic curve cryptosystem algorithm based on Chebyshev polynomial |
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| ZHAO Geng,LIU Ming-lai,GONG Gao-xiang,LI Xu-fei.Elliptic curve cryptosystem algorithm based on Chebyshev polynomial[J].Application Research of Computers,2013,30(11):3388-3389. |
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| Authors: | ZHAO Geng LIU Ming-lai GONG Gao-xiang LI Xu-fei |
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| Affiliation: | 1. Beijing Electronic Science & Technology Institute, Beijing 100070, China; 2. College of Communication Engineering, Xidian University, Xi'an 710071, China |
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| Abstract: | By combining Chebyshev polynomial with elliptic curve, this paper constructed an elliptic curve cryptosystem algorithm based on Chebyshev polynomial, and used the good semi-groop property of the limited domain Chebyshev and the properties of the elliptic curve. It realized cryptosystem algorithm in the elliptic curve. The algorithm has the advantages of the chaotic cipher and elliptic curve cryptographic algorithm. Through the analysis of the algorithm, it is thought that the algorithm is simple and has high safety, the scheme is feasible. |
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| Keywords: | Chebyshev polynomial elliptic curve cryptosystem algorithm chaotic cipher semi-group property |
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