一阶双曲构建Hill密码及计算机模拟  

Hill Cipher Based On First-Order Hyperbolic Equation＆ Computer Simulation

作　　者：汤永龙[1] 黄锦[1] 

机构地区：[1]吉首大学信息管理与工程学院,湖南张家界427000

出　　处：《计算机光盘软件与应用》2010年第5期122-123,共2页Computer CD Software and Application

基　　金：基金项目：本文得到湖南省教育厅自然科学基金项目（09C791）的资助

摘　　要：本文讨论用偏微分方程构建Hill密码的方法。以一阶线性非齐次双曲方程混合问题的形式给出加、解密问题的模型，由差分格式算法设计可用于加、解密的矩阵方程。改进的Hill密码系统中，矩阵变化多样、密钥空间大且便于传输和管理。最后用Matlab编制软件实现并对部分结果进行分析。This paper devotes to construct Hill cipher by using partial differential equations （ PDEs ）.Encryption and decryption models based on the first-order hyperbolic equation with mixed boundary conditions are proposed.Matrix functions according to the difference schemes are Designed.The improved Hill cipher has some advantage attributes,for example,the variability of matrix,the sufficiency of keyspace and the convenience of keys management and transmission.A computer simulation software is established by Matlab.Analysis to the experimental results is given.

关 键 词：密码 一阶双曲方程 HILL密码 模拟 

分 类 号：TB24[一般工业技术—工程设计测绘]