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椭圆曲线机制及其算法研究
发表时间：2008-06-30 浏览量：2352 下载量：961
| 全部作者： | 江志祥，蔺志青 |
| 作者单位： | 北京邮电大学电信工程学院 |
| 摘 要： | 椭圆曲线密码体制目前已经引起了信息安全及密码学界的广泛关注。从安全性及有效性来看，这种密码体制有着广阔的应用前景，是一种近期在某些领域取代RSA、DSS等现存体制的密码（签名）体制，现已逐渐形成了研究与开发的热点。本文介绍了基于大素数域上的椭圆曲线密码的加密与解密及在数字签名中的应用。为使椭圆曲线加密算法能应用于低位机（32 b，64 b）及手机上，本文提出了一种在低位机上实现两个大数相乘的快速算法，而且该算法易于用专用芯片实现。椭圆曲线密码体制取代RSA，被大规模使用指日可待。 |
| 关 键 词： | 计算机应用；椭圆曲线密码体制；椭圆曲线离散对数；数字签名 |
| Title： | The reseach of elliptic curve mechanism and its algorithm |
| Author： | JIANG Zhixiang, LIN Zhiqing |
| Organization： | College of Telecommunication Engineering, Beijing University of Posts and Telecommunications |
| Abstract： | Elliptic curve cryptosystem has attracted wide concern from scholars of information security and cryptology. From the view of safety and effectiveness, this kind of password system has broad prospects for application. It is a password (signature) system replacing for the existent systems such as RSA, DSS in some fields recently, and now has gradually formed research and development hotspots. In this paper, encryption and decryption of elliptic curve cryptosystem over large prime fields and its application in digital signature introduced. In order to apply the elliptic curve cryptography in PC with small bits（32 b， 64 b） and mobile phones, the paper gives a faster algorithm to calculate the multiplication of large numbers. And the algorithm can be easyily used by chips. The replacement of RSA by elliptic curve cryptography, and its large-scale uses is already around the corner. |
| Key words： | computer application; elliptic curve cryptosystems; elliptic curve discrete logarithm; digital signature |
| 发表期数： | 2008年10月第12期 |
| 引用格式： | 江志祥，蔺志青. 椭圆曲线机制及其算法研究[J]. 中国科技论文在线精品论文，2008，1（12）：1413-1418. |
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