| 椭圆曲线密码体制中有限域算法的分析 |
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| 引用本文： | 沈晓红,徐敏.椭圆曲线密码体制中有限域算法的分析[J].中国科技信息,2006(21):314-316,334. |
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| 作者姓名： | 沈晓红 徐敏 |
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| 作者单位： | 1. 东南大学 210096;南通大学 226019
2. 南通大学 226019 |
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| 摘 要： | 密码技术是信息安全的关键技术，密码算法又是密码技术的核心。谈文简单介绍了公开密码密钥体制，并给出了ECC的优点。但椭圆曲线密码体制中有限域上的运算速度极大地影响它的实现速度。本文通过论述椭圆曲线密码体制中有限域理论，分析了素域、二进制有限域中加法、采法的实现算法，并给出了利于硬件实现的算法。
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| 关 键 词： | 密码技术 算法 椭圆曲线密码体制 有限域 二进制域 素域 |
Elliptic Curve Cryptosystem Analysis of Finite-domain Algorithm |
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| Shen Xiaohong,Xu Min.Elliptic Curve Cryptosystem Analysis of Finite-domain Algorithm[J].CHINA SCIENCE AND TECHNOLOGY INFORMATION,2006(21):314-316,334. |
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| Authors: | Shen Xiaohong Xu Min |
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| Institution: | 1. Southeast University, Nanjing 210096 China;2Nantong University,Nantong ,226019 |
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| Abstract: | The technology of cryptography is the essential part for information security. CryPtography algorlthm also is the cope of cryptography technology . This paper briefly introduced the public-key cryptosystem, and gives the advantage of the ECC. But the calculation speed over finite fields greatly affects the performance of ECC implementation. This paper discussed the Elliptic Curve Cryptosystem Finite Field Theory. It analyzed the algorithm of addition and multipllcation for Binary field and Prime field, and put forward some algorithms that good for the implementation of hardware. |
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| Keywords: | cryptography technology algorithm Elliptic Curve Cryptosystem Finite Field Binary Field PrimeField |
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