基于预定时间混沌同步系统的图像加密算法  

Image encryption algorithm based on predefined time chaotic synchronization system

作　　者：庄裕富 许志平 彭侠夫 林立雄 ZHUANG Yufu;XU Zhiping;PENG Xiafu;LIN Lixiong(School of Mechanical Engineering and Automation,Fuzhou University,Fuzhou 350108,China;School of Ocean Information Engineering,Jimei University,Xiamen 361021,China;School of Aerospace Engineering,Xiamen Universuty,Xiamen 361102,China)

机构地区：[1]福州大学机械工程及自动化学院,福建福州350108 [2]集美大学海洋信息工程学院,福建厦门361021 [3]厦门大学航空航天学院,福建厦门361102

出　　处：《厦门大学学报（自然科学版）》2023年第4期647-653,共7页Journal of Xiamen University：Natural Science

基　　金：福建省自然科学基金(2019J05024);集美大学科研启动金项目(ZQ2022002);厦门海洋与渔业发展专项基金项目(21CZB013HJ15);厦门海洋智能终端研发与应用重点实验室(B18208)。

摘　　要：针对现有基于整数阶混沌系统的图像加密算法抗差分攻击能力较弱、安全性复杂度不足等问题,提出了一种同步时间可调的分数阶混沌系统的图像加密和解密方法.与现有的整数阶混沌系统相比,分数阶混沌系统的优点是增加了密码的复杂性.同时,通过采用可调整的同步时间,扩展了密钥空间,增加了密钥复杂度,提高了算法的安全性.通过采用DNA编码、行/列循环置乱、异或扩散和Arnold置乱等方法相结合,更好地增强了加密算法的安全性.对图像加密和解密进行了仿真测试,通过直方图分析、相关性分析和明文敏感性分析,验证了该加密方法的有效性和优势.Aiming at problems of existing image encryption algorithms based on integer order chaotic systems,such as weak resistance to differential attacks as well as insufficient security and complexity,we propose an image encryption and decryption method of fractional order chaotic systems with adjustable synchronization time.In comparison with existing integer order chaotic systems,the proposed method appears more advantageous in increasing the complexity of the ciphertex.At the same time,the key space is expanded,thus increasing the key complexity and improving the security of the algorithm by adopting the adjustable synchronization time.The security of the encryption and decryption process is further enhanced by using a combination of DNA encoding,row/column circular disruption,heterogeneous diffusion,and Arnold disruption.Simulation tests on image encryption and decryption are performed,and through histogram analysis,correlation analysis and plaintext sensitivity analysis,the effectiveness and advantages of the proposed encryption method are validated.

关 键 词：分数阶混沌系统 预定时间稳定 图像加密 抗差分攻击 安全分析 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]