基于分数阶超混沌系统的图像加密算法及安全性分析  

Image encryption algorithm and cryptanalysis based on fractal-order hyperchaotic systems

作　　者：朱伟[1] 段文强[1] 杨阳[1] 沈建鑫[1] 

机构地区：[1]重庆邮电大学系统理论及其应用研究中心,重庆400065

出　　处：《重庆邮电大学学报（自然科学版）》2012年第4期501-506,共6页Journal of Chongqing University of Posts and Telecommunications(Natural Science Edition)

基　　金：国家自然科学基金(61004042)~~

摘　　要：对一种基于整数阶超混沌系统的加密算法进行分析,证明其仍无法避免选择明文攻击,提出了一种基于分数阶超混沌系统的加密算法。该分数阶超混沌系统的Lyapunov指数表明,其较以往的整数阶混沌系统具有更复杂的动力学行为。将明文序列间关系参入初值后利用分数阶混沌系统进行迭代,确保系统加密序列与于明文相关联。理论分析和实验结果表明,该方法能有效地抵御选择明文攻击,并具有理想的统计及差分特性。In this paper, the analysis on an improved integer-order hyperchaotic encryption algorithm shows it can not avoid chosen plaintext attack. A further improved fractional-order hyperchaotic encryption algorithm is proposed in this paper. Compared with previous integer-order chaotic systems, a more complex dynamic behavior of the system is indicated by the size of Lyapunov exponent. The relationship is kept in plaintext sequences in the initial values, and then the hyperchaotic systems are iterated to ensure the system encryption sequence associated with the plaintext. The theory analysis and experi- mental results show the method with the ideal statistics and differential characteristics can resist chosen plaintext attack ef- fectively.

关 键 词：分数阶 超混沌 图像加密 安全性分析 

分 类 号：TP309[自动化与计算机技术—计算机系统结构]