基于混沌和四进制系统的图像加密算法  

Image encryption algorithm based on chaos and quaternary system

作　　者：田妙妙 刘晔[1] 龚黎华 TIAN Miaomiao;LIU Ye;GONG Lihua(School of Information Engineering,Nanchang University,Nanchang 330031,China;Shanghai Key Laboratory of Integrate Administration Technologies for Information Security,Shanghai Jiao Tong University,Shanghai 200240,China)

机构地区：[1]南昌大学信息工程学院,江西南昌330031 [2]上海交通大学信息安全综合管理技术上海市重点实验室,上海200240

出　　处：《现代电子技术》2020年第23期49-53,57,共6页Modern Electronics Technique

基　　金：国家自然科学基金(61861029);江西省应用研究培育项目(20181BBE58022);上海市信息安全综合管理技术研究重点实验室(AGK2018002)。

摘　　要：信息时代对图像传输安全性要求较高,针对此问题提出一种将5D超混沌与四进制系统相结合的数字图像加密算法。5D超混沌的初值通过汉明距离与明文图像紧密相连,因此该图像加密方案能够有效抵抗选择明文攻击和已知明文攻击。在置乱阶段,明文图像被分解为4幅四进制图像。在密钥流的控制下,完成四进制图像像素位置的全局置乱。在扩散阶段构造一种基于四进制的循环操作来扩散图像的像素值。将扩散后的4个四进制矩阵转换为相应的十进制矩阵,并对该矩阵与密钥流进行加法运算即可得到加密图像。仿真结果和性能分析表明,该图像加密方案性能优越,安全性高。The high security of image transmission is required in the information age.Therefore,a digital image encryption algorithm based on 5D hyper chaos and quaternary system is proposed.The initial values of 5D hyper chaos are closely connected with the plaintext image by Hamming distance,so the image encryption scheme can effectively resist the chosenplaintext attack and the known plaintext attack.In the scrambling phase,the plaintext image is decomposed into four quaternary images.The global scrambling of the pixel position of the quaternary images is completed under the control of the key flow.In the diffusion phase,a kind of cycle operation based on quaternary system is built to diffuse the pixel values of the image.The 4 diffused quaternary matrices are converted into corresponding decimal matrices,and an additive operation is performed for the decimal matrices and key stream to achieve the encrypted image.Simulation results and performance analyses demonstrate the superior performance and high security of the image encryption scheme.

关 键 词：图像加密 5D超混沌 四进制系统 图像分解 矩阵转换 仿真分析 

分 类 号：TN911.73-34[电子电信—通信与信息系统] TN915.08[电子电信—信息与通信工程]