| 一阶双曲构建Hill密码及计算机模拟 |
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| 引用本文： | 吴礼燕,姚正安,杜毅.一阶双曲构建Hill密码及计算机模拟[J].现代计算机,2008(12). |
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| 作者姓名： | 吴礼燕 姚正安 杜毅 |
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| 作者单位： | [1]广西民族大学数学与计算机科学学院,南宁530006 [2]中山大学数学与计算科学学院,广州510275 |
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| 摘 要： | 讨论用PDEs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。用MatLab编制软件实现加、解过程并对部分结果进行分析。
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| 关 键 词： | 一阶双曲方程 Hill密码 偏微分方程（PDEs） |
Hill Cipher Based on First-Order Hyperbolic Equation and Computer Simulation |
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| WU Li-yan,YA Zhe-nan,DU Yi.Hill Cipher Based on First-Order Hyperbolic Equation and Computer Simulation[J].Modem Computer,2008(12). |
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| Authors: | WU Li-yan YA Zhe-nan DU Yi |
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| Affiliation: | WU Li-yan1,YA Zhe-nan2,DU Yi2(1. School of Mathematics , Computer Science,Guangxi University for Nationalities,Nanning 530006,2. School of Mathematics , Computational Science,SUN Yat-sen University,Guangzhou 510275) |
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| Abstract: | Devotes to construct Hill cipher by using partial differential equations(PDEs). Proposes encryption and decryption models based on the first-order hyperbolic equation with mixed boundary conditions,designs matrix functions according to the difference schemes. 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 e... |
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| Keywords: | First-Order Hyperbolic Equation Hill Cipher Partial Differential Equations(PDEs) |
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