新高维超混沌系统的设计及其图像加密应用  

Design of New Higher-dimensional Hyperchaotic System and Its Application in Image Encryption

作　　者：赵坤 何建斌 ZHAO Kun;HE Jian-bin(Minnan Normal University,School of Mathematics and Statistics,Zhangzhou 363000,China;Minnan Normal University,Institute of Meteorological Big Data-Digital Fujian,Zhangzhou 363000,China)

机构地区：[1]闽南师范大学数学与统计学院,漳州363000 [2]闽南师范大学数字福建气象大数据研究所,漳州363000

出　　处：《科学技术与工程》2022年第31期13643-13652,共10页Science Technology and Engineering

基　　金：国家自然科学基金(11847051);福建省自然科学基金(2022J01895,2019J05107)。

摘　　要：为增强信息的互联网传输安全和基于混沌系统的保密通信,通过一类渐近稳定的标称线性系统和一致有界控制器的设计,构造在多个控制位置生成具有最大个数正李氏指数的高维超混沌系统。同时,将该超混沌系统生成的多个伪随机序列进行预处理,选取部分伪随机序列对图像进行多轮置乱加密,并利用其余的伪随机序列对图像像素进行扩散加密,从而提高加密算法的加密效果和安全性能。通过数值仿真实验和安全分析,验证了多个伪随机序列组合的高维超混沌加密算法具有良好的保密性和安全性,并能抵御差分攻击、选择明文攻击和剪切攻击等。In order to improve the security of information transmission on the internet and chaos-based secure communication,the higher-dimensional hyperchaotic system with largest number of positive Lyapunov exponents was constructed.By the design of a class of asymptotically stable nominal linear system and uniformly bounded controller,there existed higher-dimensional hyperchaos at multiple control positions.The pseudo-random sequences generated from hyperchaotic system were preprocessed,some pseudo-random sequences were selected for several rounds scrambling encryption of the image,the others were used for diffusion encryption of the image pixels,to improve the encryption effect and security performance of the encryption algorithm.Numerical simulation experiments are used to verify that the higher-dimensional hyperchaos-based encryption algorithm has good confidentiality and security.Through the security analysis,it is shown the encryption algorithm can resist differential attack,chosen-plaintext attack and crop attack,etc.

关 键 词：超混沌系统 正李氏指数 混沌伪随机序列 图像加密 

分 类 号：O415.5[理学—理论物理] TP309.7[理学—物理]