Hill加密算法的改进  

Improvement of Hill Encryption Algorithm

作　　者：王容[1] 廖群英[1] 王云莹 曾茂俊 宁宇光 洪思奥 

机构地区：[1]四川师范大学数学与软件科学学院,四川成都610066

出　　处：《四川师范大学学报（自然科学版）》2015年第1期8-14,共7页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(11401408);四川省教育厅自然科学重点基金(14ZA0034)资助项目

摘　　要：为防止通信过程中信息泄露,确保网络信息传输安全,常对信息进行加密.基于国内外加密技术存在完善空间,运用矩阵及其张量积的技巧,对Hill加密算法进行了改进,并进一步研究基于张量积合成加密矩阵的构造问题,提出了Hill加密算法的2个改进方案,并运用实例进行了加密实践,使之具有数字签名功能,提高了信息在传输过程中的完整性与安全性.In order to prevent information leakage in the process of communication,ensure the network information transmission security,the information is often encrypted. The Hill enctyption algorithm is one of frequently-used techniques. Since the algorithm has some deficiencies and needs to be completed,an improvement scheme is proposed in this paper. By using matrix and tensor product technology,two programs are provided,the construction of the enctyption matrix is further studied. Moreover,some example are given to the practice. It is illustrated that the program has the function of digital signature,and the message integrity and its security are enhanced in the transmission process.

关 键 词：HILL密码体制 矩阵 张量积 行列变换 数字签名 

分 类 号：O156.2[理学—数学] TP309.7[理学—基础数学]