基于Logistic映射的非线性组合混沌流密码的设计与分析

A Design and Analysis for Non-linear Combination Chaotic Stream Cipher Based on Logistic Map

在深入剖析了Logistic映射特性的基础上,把传统组合流密码的构造方法和混沌序列的密码学特性有机地结合起来,提出了基于Logistic映射的非线性组合混沌流密码算法的设计思想,给出一类非线性组合生成器的构造方法,并对该算法产生的混沌序列进行了联邦测试和密码学特性分析,结果验证了该算法具有良好的不可预测性和随机统计性,具有一定的应用价值。

After researching the characteristic of chaos cipher and thorough analysis in Logistic mapping, it brings about a design idea of non-linear chaotic stream cipher algorithm based on the Logistic mapping. That is, according to the design guideline of non-linear generator, it brings about a method of constructing nonlinear combination generator, and re- alizes such chaotic stream cipher generator. Then it analyses the algorithm that brought about in this paper, gives the cycle of the nonlinear chaos stream cipher. By FIPS140-1 test, the result shows that the key generated by the algorithm given in this dissertation has ability against statistical analysis, and the analysis of linear complexity and k-error linear complexity affirms that the sequences generated are also not able to forecast.