一种基于高维矩阵变换的混沌图像加密  

Image Encryption Algorithm Based on Henon Map and High Dimensional Matrix Transformation

作　　者：龚和林[1] 吴连发[1] 舒情[1] 

机构地区：[1]上饶师范学院数学与计算机系,江西上饶334001

出　　处：《微计算机信息》2010年第9期87-89,共3页Control & Automation

基　　金：基金申请人:吴连发;龚和林;舒情;祝宝满;项目名称:数学方法在数字图像加密中的应用研究;基金颁发部门:江西省教育厅(GJJ09378)

摘　　要：提出了一种基于Henon混沌系统和高维准对角矩阵变换的图像加密算法.由初始密钥控制二维Henon混沌映射生成两个置换矩阵和多个环上二阶可逆矩阵.利用获得的置换矩阵结合两类平移变换置乱原始图像;进一步,以二价可逆矩阵为子矩阵构造高维准对角矩阵,再对置乱密文进行高维矩阵变换(模运算)实现灰度值替代二次加密.仿真实验结果表明,该算法易于实现,加密效果理想,对密钥和明文具有敏感依赖性,安全性高。A chaotic encryption algorithm based on henon map and high dimensional block diagonal matrix transformation is proposed.Under given initial cipherkey, two permutation matrices and some two dimensional invertible matrices in a ring are constructed by the henon map.With the help of two types of translation transformation, the permutation matrices are adopted to scramble the plaintext image;Furthermore, a high dimensional block diagonal invertible matrix is generated by above two dimensional invertible matrices, then the scrambling image is encrypted again by high dimensional matrix transformation.Experimental results show the algorithm is easy to realize and possesses the advantages of high-performance characteristic of encryption, high sensitivity to key or plaintext image and high security.

关 键 词：图像置乱 图像加密 HENON映射 准对角矩阵 矩阵变换 

分 类 号：TP309.7[自动化与计算机技术—计算机系统结构]