基于超混沌序列和之型置乱的图像加密算法  

Image Encryption Algorithm Based on Hyperchaotic Sequence and Zigzag Scrambling Algorithm

作　　者：刘思洋 安新磊[1] 施倩倩 王越 LIU Siyang;AN Xinlei;SHI Qianqian;WANG Yue(School of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学数理学院,甘肃兰州730070

出　　处：《徐州工程学院学报（自然科学版）》2023年第3期49-60,共12页Journal of Xuzhou Institute of Technology(Natural Sciences Edition)

基　　金：国家自然科学基金项目(11962012)。

摘　　要：针对低维混沌系统在图像加密应用中容易出现退化现象、安全性不高等问题,从相图、分岔图、Lyapunov指数谱、谱熵复杂度等方面对一个四维超混沌系统的混沌特性进行分析,结果表明该系统表现出丰富的动力学现象,其混沌特性分布广泛,适用于图像加密.在此基础上,提出一种基于混沌序列的置乱-扩散加密算法,并从密钥空间、密钥敏感度、直方图、相关性、信息熵和差分攻击等方面对该算法进行了测试.MATLAB仿真结果验证了该方法的可行性,也表明该算法不仅能有效地对图像进行加密,而且还能有效抵抗各种常见攻击,为图像加密提供了理论依据.In this paper,a four-dimensional hyperchaotic system is analyzed in terms of phase diagram,bifurcation diagram,Lyapunov exponent spectrum and spectral entropy complexity to address the problems of degradation and insecurity in low-dimensional chaotic systems for image encryption applications.The results indicate that the system reveals rich dynamic phenomena,and its chaotic characteristics are distributed in a wide range so that it is suitable for image encryption.On the basis of this system,a scrambling-diffusion encryption algorithm based on chaotic sequence is proposed,and its security performance is analyzed from the aspects of key space,key sensitivity,histogram,correlation,information entropy and differential attack.The MATLAB simulation results validate the feasibility of this method and indicate that the algorithm can not only effectively encrypt images,but also effectively resist various common attacks,providing a theoretical basis for image encryption.

关 键 词：超混沌序列 图像加密 之型置乱 异或运算 扩散 

分 类 号：TP309.7[自动化与计算机技术—计算机系统结构] O415.5[自动化与计算机技术—计算机科学与技术]