Gauss-Markov加密矩阵构造及图像加密应用  

Gauss-Markov encryption matrix construct and image encryption application

作　　者：邹阿金[1] 刘勇华[2] 罗移祥[1] 

机构地区：[1]广东海洋大学信息学院,广东湛江524088 [2]广东海洋大学图书馆,广东湛江524088

出　　处：《计算机工程与设计》2012年第7期2541-2545,共5页Computer Engineering and Design

基　　金：广东省海洋渔业科技推广专项科技攻关与研发基金项目(A201008B05);广东省科技计划基金项目(2011B020313021;2010B020311011)

摘　　要：为了解决加密矩阵难以构造的问题,提出一种获得整数矩阵的新算法,利用Gauss-Markov过程生成一个随机序列,将该序列转换为一系列的低阶整数矩阵,从中寻找行列式等于1的整数矩阵,并对这些矩阵进行张量积运算得到高阶加密矩阵,应用于数字图像加密。加密实例和理论分析及对比表明,该算法可自动生成安全性很高的加密矩阵,且加密结果具有良好的随机特性和自相关性,能满足密码学的要求。To solve the problem of eneryption matrix is difficult to construct, a novel algorithm is proposed to get the encryption matrix： First, a stochastic sequence is generated by Gauss-Markov process. Then, it is converted into a series of low-order inte- ger matrixes and multiple the selected matrices with determinant equal to 1 each other by using tensor production method. Thus, we can construct some high order encryption matrices and use it in digital image encryption. The encryption instance and theo- retical analysis show that the proposed algorithm can produce eneryption matrices with high security, and have good random characteristics and autoeorrelation to meet the requirement of cryptography.

关 键 词：Gauss-Markov过程 随机序列 加密矩阵 张量积 图像加密 

分 类 号：TP309.7[自动化与计算机技术—计算机系统结构]