基于超混沌系统和离散分数随机变换的图像加密算法  

Image Encryption Scheme based on Hyper-Chaotic System and Discrete Fractional Random Transform

作　　者：周玲[1] 周颖 潘书敏 蔡景素[1] ZHOU Ling;ZHOU Ying;PAN Shumin;CAI Jingsu(Department of Energy and Power Engineering,Guangxi Electric Polytechnic Institute,Nanning,Guangxi,530007,China;Department of Electronic Information Engineering,Information Engineering School of Nanchang University,Nanchang,Jiangxi,330031,China)

机构地区：[1]广西电力职业技术学院能源动力与发电工程系,广西南宁530007 [2]南昌大学信息工程学院电子信息工程系,江西南昌330031

出　　处：《广西科学》2020年第1期98-103,109,共7页Guangxi Sciences

基　　金：国家自然科学基金项目（61861029）;广西教育厅项目（2019KY1507）资助

摘　　要：本文结合超混沌系统和离散分数随机变换,提出一种图像加密新方案,并给出实现该算法的光学装置原理图。在加密过程中,利用超混沌系统产生的混沌序列来构造离散分数随机变换(DFRT)的随机矩阵,再将DFRT的阶数和超混沌系统的初始值作为图像加密算法的主密钥,与单纯的离散分数随机变换的图像加密算法相比,在不增加计算负担的情况下,本算法的明文与密文之间具有更高的复杂性,并加大了密钥空间,提高了密钥敏感性。该系统是一个非线性的密码系统,消除了传统加密系统中因为线性过程而存在的不安全因素,提高了加密系统的抗统计攻击和噪声攻击的能力。In this paper,a new image encryption scheme based on hyper-chaotic system and discrete fraction random transformation is proposed,and the principle diagram of optical device to realize the algorithm is given.In the encryption process,the chaotic sequence generated by the hyper-chaotic system is used to construct the random matrix of the discrete fraction random transformation(DFRT).The order of DFRT and the initial values of the hyper-chaotic system are used as the master key of the image encryption algorithm.Compared with the image encryption algorithm based on pure discrete fraction random transformation,this algorithm has higher complexity between the plaintext and the ciphertext without increasing the computational burden,and increases the key space and the key sensitivity.This system is a non-linear cryptosystem,which eliminates the non-security factors caused by the linear process in the traditional encryption system,and improves the ability of the encryption system to resist statistical attacks and noise attacks.

关 键 词：图像加密 超混沌系统 随机矩阵 离散分数随机变换 加密算法 

分 类 号：TN918.9[电子电信—通信与信息系统]