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大数快速模幂算法的研究
Researching Fast Modular Exponential Algorithms
【摘要】 大数模幂在现代密码学领域有着广泛的应用,它是RSA.ELGamal等公钥密码的基本运算。对目前具有典型代表的各种大数模幂算法进行分析,从基本设计原理和实现角度对这些模幂算法进行分类,归纳并给出了各类算法的实现方法、优缺点和研究现状。
【Abstract】 Modular exponential of larger-number has universal application in cryptography, and it is the base operation in most public-key cryptography algorithms such as RSA, ELGamal. All typical modular exponential algorithms have been analyzed deeply, and classed into three kinds according to their basic design principle and implementation. Finally, the merits and shortcomings, implementation methods, applicable condition and recent results of them are concluded.
【关键词】 模幂;
二进制法;
2~k-ary法;
滑动窗口法;
【Key words】 modular exponential binary algorithm 2~k-ary algorithm sliding-window algorithm;
【Key words】 modular exponential binary algorithm 2~k-ary algorithm sliding-window algorithm;
- 【文献出处】 科学技术与工程 ,Science Technology and Engineering , 编辑部邮箱 ,2006年05期
- 【分类号】TN918.1
- 【被引频次】1
- 【下载频次】222