基于矩阵编码的秘密共享  

Secret Sharing Based on Matrix Encoding

作　　者：余湛 吴红霞 薛醒思[3] YU Zhan;WU Hongxia;XUE Xingsi(Fujian Polytechnic Normal University school of Big Data and Artificial Intelligence,Fuqing,Fujian 350300,China;Fujian Polytechnic Normal University,Intangible Cultural Heritage Digitization and Multi-Source Information Fusion Engineering Research Center,Fuqing,Fujian 350300,China;Fujian University of Technology,Fuzhou,Fujian 350118,China)

机构地区：[1]福建技术师范学院大数据与人工智能学院,福建福清350300 [2]福建技术师范学院非遗数字化与多源信息融合工程研究中心,福建福清350300 [3]福建工程学院,福建福州350118

出　　处：《福建技术师范学院学报》2022年第5期477-488,共12页JOURNAL OF FUJIAN POLYTECHNIC NORMAL UNIVERSITY

基　　金：福建省自然科学基金面上项目(2021J011237);福建省中青年教师教育科研项目(JAT201379).

摘　　要：在分析各种信息隐藏算法优缺点的基础上,提出一种基于秘密共享的矩阵编码信息隐藏算法.首先,发送方先通过矩阵编码将秘密信息或图像嵌入到负载图像中得到一幅共享图像,并将产生翻转的位置信息作为附加信息存储起来.其次,利用相同的方法将附加信息嵌入到负载图像的副本中得到另外一幅共享图像;接收方在公共信道上接收到上述两幅共享图像后,先利用标记信息决定图像顺序,再通过校验矩阵进行校验就可以分别得到秘密信息和附加信息.最后,通过附加信息就可以完全恢复原始的负载图像.实验结果表明:该方法与现有的其他同类方法相比,在相同嵌入量的情况下得到的共享图像质量更优,并且该方法是完全可逆的.A secret sharing framework is proposed to provide separable reversible data hiding for gray image in this paper.A combination of secret sharing and matrix coding is used to enhance the hiding capacity and quality.In this scheme,the sender firstly obtains a shadow and syndrome of flipping position by embedding the secret images into cover image through matrix coding algorithm.Another shadow is obtained by embedding syndrome into a duplicate of cover image in the same way.The secret image revealing and cover image reconstructing include three steps.Firstly,the receiver determines the order of the images with the help of the marked information,and then the secret image and additional information are extracted through a parity check matrix.Finally,the additional information helps to completely reconstruct the cover image.Experimental results show that compared with other state-of-the-art schemes,the approach can attain high-quality shadows with the same embedding quantity,and it is completely reversible.

关 键 词：秘密共享 (7 4)汉明码 矩阵编码 可逆信息隐藏 高品质 

分 类 号：TP309.7[自动化与计算机技术—计算机系统结构]