基于二维时变符号混沌系统的流密码算法设计
Design of a Stream Cipher Algorithm Based on Time-Varying Symbolic Chaotic Dynamical Systems
摘要: 本文研究了一类二维时变广义符号动力系统的混沌性，给出了一种特殊混沌系统的构造实例，并对其混沌解序列进行了一些常见的伪随机性能分析。同时，结合m序列和该系统，设计了一种流密码算法，并对该算法在数字图像上的加密效果进行了仿真。仿真实验说明了所设计的序列密码算法具有良好的加密效果。
Abstract: This paper studies chaos of a class of two-dimensional time-varying generalized symbolic systems, gives a construction example of a special time-varying generalized symbolic chaotic system, and analyses the pseudorandomicity of solutions of this system. At the same time, based on this system and m sequences, this paper designs a stream cipher algorithm and simulates its encryption effect in digital image. Simulation shows that the designed algorithm has good encryption effects.
文章引用：田传俊, 林敬, 曾泉, 黎杏玲. 基于二维时变符号混沌系统的流密码算法设计[J]. 计算机科学与应用, 2018, 8(11): 1713-1719. https://doi.org/10.12677/CSA.2018.811189

参考文献

[1] Devaney, R.L. (1989) An Introduction to Chaotic Dynamical Systems. 2nd Edition, Addision-Wesley, New York.
[2] Chen, G., Tian, C.J. and Shi, Y.M. (2005) Stability and Chaos in 2-D Discrete Systems. Chaos, Solitons and Fractals, 25, 637-647. [Google Scholar] [CrossRef] 
[3] Tian, C.J. (2017) Chaos in the Sense of Devaney for Two-Dimensional Time-Varying Generalized Symbolic Dynamical Systems. Inter. J. Bifurcation and Chaos, 27, 1750060. [Google Scholar] [CrossRef] 
[4] Tian, C.J. and Chen, G. (2006) Chaos of a Sequence of Maps in a Metric Space. Chaos, Solitons and Fractals, 28, 1067-1075. [Google Scholar] [CrossRef] 
[5] 田传俊, 陈关荣. 广义符号动力系统的混沌性[J]. 应用数学学报, 2008, 31(3): 440-446.
[6] 田传俊, 李佳佳, 曾泉, 刘明刚. 时变广义符号动力系统的混沌性及其在流密码中的应用[J]. 网络空间安全, 2016, 7(9-10): 33-36.
[7] 田传俊, 刘明刚, 郝红建, 李佳佳. 二维时变离散时空系统的混沌性及其在流密码中的应用[J]. 信息安全与技术, 2015(7): 71-75.
[8] Ye, G.D., Pan, G., Huang, X.L., et al. (2018) A Chaotic Image Encryptiong Algorithm Based on Information Entropy. International Journal of Bifurcation and Chaos, 28, 1850010. [Google Scholar] [CrossRef] 
[9] Hua, Z.Y. and Zhou, Y.C. (2016) Image Encryption Using 2D Lo-gistic-Adjusted-Sine Map. Information Sciences, 339, 237-253. [Google Scholar] [CrossRef] 
[10] 李大为, 冯登国, 陈华, 等, 编. 随机性检测规范[S]. 国家密码管理局, 2009.