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

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

Key words:  image encryption  hyper-chaotic system  random matrix  discrete fractional random transform  encryption algorithm

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。

Abstract:

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.