| 基于四元整数的ElGamal公钥密码体制 |
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| 引用本文： | 汪丽,邢伟,徐光忠.基于四元整数的ElGamal公钥密码体制[J].计算机应用,2008,28(5):1156-1157. |
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| 作者姓名： | 汪丽 邢伟 徐光忠 |
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| 作者单位： | 1. 东北大学,理学院,沈阳,110004
2. 东软集团有限公司,商用业务部,沈阳,110179 |
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| 基金项目： | 辽宁省普通高等学校优秀青年骨干教师基金 |
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| 摘 要： | 介绍了既约剩余类的概念以及四元整数的一些基本性质，提出了基于四元整数群的ElGamal公钥密码体制(PKC)，其安全性基于大整数分解和离散对数问题的困难性，并在计算机上进行模拟实现，分析了其安全性。
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| 关 键 词： | Elgamal公钥密码 剩余类 四元整数 模n既约四元整数同余类群 |
| 文章编号： | 1001-9081(2008)05-1156-02 |
| 收稿时间： | 2007-11-12 |
| 修稿时间： | 2007年11月12 |
ElGamal public-key cryptosystem based on integral quaternions |
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| WANG Li,XING Wei,XU Guang-zhong.ElGamal public-key cryptosystem based on integral quaternions[J].journal of Computer Applications,2008,28(5):1156-1157. |
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| Authors: | WANG Li XING Wei XU Guang-zhong |
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| Affiliation: | WANG Li1,XING Wei1,XU Guang-zhong2(1.College of Science,Northeastern University,Shenyang Liaoning 110004,China,2.Commercial Department,Neusoft Group Ltd.,Shenyang Liaoning 110179,China) |
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| Abstract: | This paper introduced the definition of congruence class and some basic property of integral quaternions, and proposed ElGamal Public-Key Cryptosystem (PKC) based on integral quaternions. Its security was based on the difficulty of large integer factorization and discrete logarithms problem. Simulation and realization were carried out in computer, furthermore the security of it was discussed and analysed. |
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| Keywords: | ElGamal Public-Key Cryptosystem (PKC) residue class integral quaternions congrauences class group of integral quaternions mod n |
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