基于离散阵列广义同步的彩色图像加密算法

为设计出具有较高安全性能的图像算法,提出了一种基于离散阵列广义同步系统的彩色图像加密算法。首先利用离散阵列广义同步定理,在3D-Lorenz映射的基础上构造了一个具有16×16×6的阵列广义同步系统。其次,结合二维离散分数阶傅里叶变换设计了一种彩色图像加密算法。该算法对像素矩阵进行了新混沌序列的位置变换,提高了密钥空间。加密算法的密钥敏感性、直方图和信息熵的仿真实验表明:该加密算法安全性高,能够达到较好的加解密效果。

An Image Encryption Algorithm Based on the Generalized Synchronization Theorem for Discrete Array

In order to design image encryption algorithm with higher security, a new color image encryption algorithm based on generalized chaos synchronization array systems is presented in this paper. Firstly, by use of the generalized synchronization theorem for discrete array systems, a novel generalized chaos synchronization array system with 16 × 16 × 6 cells is constructed on the basis of 3D-Lorenz map. Then, a color image encryption algorithm is designed through the fractional Fourier transform. Position of the new chaotic sequence in pixel matrix is transformed by the algorithm. Thus, the key space is extended. Finally, numerical simulations of key parameter sensitivity, histograms and information entropy show that the scheme has sound security, and the scheme is effective in network communication.