基于变参超混沌与可逆向量积的图像加密算法  

A Novel Image Encryption Scheme Based on Varying-Parameter Hyper-Chaos and Invertible Vector Product

作　　者：周洪波[1] 尹文双 刘静漪 唐利明 ZHOU Hongbo;YIN Wenshuang;LIU Jingyi;TANGLiming(School of Mathematics and Information Science,Guiyang University,Guiyang 550005;School of Mathematics and Statistic,Hubei Minzu University,Enshi Hubei 445000,China)

机构地区：[1]贵阳学院数学与信息科学学院,贵阳550005 [2]湖北民族大学数学与统计学院,湖北恩施445000

出　　处：《重庆师范大学学报（自然科学版）》2021年第5期90-97,共8页Journal of Chongqing Normal University:Natural Science

基　　金：国家自然科学基金(No.62061016);贵州省科技合作计划项目(No.黔科合LH字[2015]7294号)。

摘　　要：【目的】通过对混沌序列随机性的增强和可逆算法的研究,提出一种基于变参超混沌和可逆向量积的图像加密算法。【方法】提出的算法通过动态控制超混沌参数增强混沌序列的随机性,同时设计了一种可逆向量乘法运算规则。首先通过迭代变参超混沌系统得到混沌序列,其中一个混沌序列用来置乱图像,另外两个混沌序列生成两个整数随机密钥矩阵,按照可逆向量乘法运算规则分别左乘和右乘图像矩阵,完成加密的扩散过程,得到加密图像。【结果】通过MATLAB仿真实验,密文图像信息熵为7.997 4,和理论值8相差不足0.003,NPCR值超过98%,UACI值超过33%。【结论】仿真实验结果表明本算法具有较高的安全性。[Purposes]By investigating the randomness enhancement of chaotic sequences and reversible algorithm,an image encryption algorithm based on variable parameter hyper-chaos and reversible vector product is proposed.[Methods]The algorithm enhances the randomness of chaotic sequences by dynamically controlling the hyper-chaos parameters.Meanwhile,a reversible vector product rule is designed.The chaotic sequences are obtained by iterating the variable parameter hyper-chaotic system.One chaotic sequence is used to scramble the image,and the other two chaotic sequences are generated two integer random key matrices.According to the reversible vector product rule,the image matrix is left and right multiplied by the key matrices.The encryption diffusion process is completed and an encrypted image is obtained.[Findings]Through the MATLAB simulation experiment,the result of the ciphertext image information entropy is 7.9974,the difference between it and the theoretical value 8 is less than 0.003,UPCR exceeds 98%,and UACI exceeds 33%.[Conclusions]The simulation results demonstrate that the algorithm has high security.

关 键 词：图像加密 变参超混沌 可逆向量积 信息安全 

分 类 号：TP393.08[自动化与计算机技术—计算机应用技术]