基于逻辑-无限折叠迭代混沌映射的图像加密  

Grayscale Image Encryption Algorithm Based on Logistic-iterative Chaotic Map with Infinite Collapses

作　　者：王艺杭 洪炎[1] 肖志豪 WANG Yihang;HONG Yan;XIAO Zhihao(School of Electrical and Information Engineering,Anhui University of Technology,Huainan Anhui 232001,China;School of Mechanical Engineering,Anhui University of Technology,Huainan Anhui 232001,China)

机构地区：[1]安徽理工大学电气与信息工程学院,安徽淮南232001 [2]安徽理工大学机械工程学院,安徽淮南232001

出　　处：《佳木斯大学学报（自然科学版）》2023年第4期34-38,共5页Journal of Jiamusi University：Natural Science Edition

基　　金：安徽自然科学基金项目(1808085MF169,2108085ME158)。

摘　　要：为解决无限折叠迭代混沌映射存在周期窗口及映射分布不均匀的问题,提出一种逻辑-无限折叠迭代混沌映射,在此基础上提出了Arnold变换结合循环移位扩散的灰度图像混沌加密算法。首先使用MD5哈希算法得到明文图像的128位哈希值,用于密钥的生成;然后进行Arnold全局置乱,再进行循环移位扩散操作,最终完成Arnold变换和循环移位扩散的灰度图像加密系统设计。根据该映射生成的混沌加密算法对4张标准灰度图像的加密分析表明:图像加密结果及其直方图均显示加密图像像素值分布均匀,加密算法密钥空间远大于2100,信息熵接近8,像素间相关性小,有能力抵御暴力、统计攻击。In order to solve the problems of infinite folding iterative chaotic mapping with period windows and uneven mapping distribution,a logic-infinite folding iterative chaotic mapping is proposed,based on which the Arnold transform combined with cyclic shift diffusion is proposed as a chaotic encryption algorithm for grey-scale images.Firstly,the 128-bit hash value of the plaintext image is obtained using the MD5 hashing algorithm,which is used for key generation.Then the Arnold global disruption is performed,followed by the cyclic shift diffusion operation,and finally the design of the grey-scale image encryption system with Arnold transform and cyclic shift diffusion is completed.The encryption analysis of four standard grayscale images using the chaotic encryption algorithm generated by this mapping.The results show that the image encryption results and its histogram show that the pixel values of the encrypted image are evenly distributed,the key space of the encryption algorithm is far greater than 2100,the information entropy is close to 8,the correlation between pixels is small,and the encryption algorithm is capable of resisting violent and statistical attacks.

关 键 词：混沌迭代 一维混沌映射 ARNOLD变换 图像加密 

分 类 号：TP309.7[自动化与计算机技术—计算机系统结构]