基于共享矩阵和混沌的图像分存算法  

Image sharing algorithm based on sharing matrix and chaos

作　　者：田小平 田慧明 吴成茂 TIAN Xiaoping1 , TIAN Huiming2 , WU Chengmao1(1. School of Electronic Engineering, Xi＇an University of Posts and Telecommunications, Xi＇an 710121, China; 2. School of Conm Luaication and Itfformation Engineering, Xi＇an University of Posts and Telecommunications, Xi＇al 710121, China)

机构地区：[1]西安邮电大学电子工程学院,陕西西安710121 [2]西安邮电大学通信与信息工程学院,陕西西安710121

出　　处：《西安邮电大学学报》2018年第2期22-31,共10页Journal of Xi’an University of Posts and Telecommunications

基　　金：国家自然科学基金资助项目(61671377);陕西省自然科学基金资助项目(2014JM8331;2014JQ5183;2014JM8307);陕西省教育厅科学研究计划资助项目(2015JK1654)

摘　　要：为了提高图像加密的安全性和有效性,提出一种广义的共享矩阵混沌加密算法。引入一种新的共享矩阵的定义并给出构造方法。将Tent混沌加密后的图像序列进行行扩展后与所定义共享矩阵进行点积编码,产生矩阵的每行对应一个秘密份额,并生成安全的多幅共享加密图像。通过二值、灰度和彩色等3种图像测试的结果表明,该共享加密算法能够实现数据量减半,具有较大的密钥空间,且能有效地抵抗差分和暴力攻击。To improve the security and validity of image encryption,ageneralized chaotic encryption algorithm for sharing matrix is proposed.In this algorithm,firstly a new definition of shared matrix and its construction methods are introduced.Then,the image sequence after the Tent chaotic encryption is extended,the shared matrix is coded with the subjected dot product,each row of the matrix is then generated to correspond to a secret sharing,and multiple sharing images are therefore generated.The results from three kinds of images such as binary,gray and color,show that this sharing algorithm can half the amount of data,has a large key space,and therefore can effectively resist differential and violent attacks.

关 键 词：图像加密 图像分存 共享矩阵 混沌映射 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]