基于Chebyshev多项式的公钥系统  

Cryptosystem Based on Chebyshev Polynomials

作　　者：陈小松[1] 孙一为[1] 

机构地区：[1]中南大学数学科学与计算技术学院,湖南长沙410083

出　　处：《铁道学报》2013年第1期77-79,共3页Journal of the China Railway Society

基　　金：国家自然科学基金项目(11071062);湖南省科技计划(2009FJ3197)

摘　　要：通过对2种已提出的基于有限域上Chebyshev映射的公钥方案的研究,发现这2个方案的共同问题,通过改变参数选取的条件和增加逆元存在的条件,给出了改进的公钥加密方案,并对改进后方案的合理性、可行性和安全性进行分析,给出了快速实现的算法。Through study on the two existing public key cryptosystems based on Chebyshev mapping over the finite field, their common problems were found. The improved public key cryptosystems program was proposed by changing the parameter selection conditions and adding the inverse element existence conditions. The ration- ality, practicability and security of the improved program were investigated, and the algorithm for fast imple- mentation was given.

关 键 词：CHEBYSHEV多项式 半群性 公钥系统 混沌映射 

分 类 号：TP918.1[自动化与计算机技术] TP309.7