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| 环Zn上的线性正形置换和正形矩阵 | |
| 引用本文： | 韩海清,李琴,刘修生,张焕国.环Zn上的线性正形置换和正形矩阵[J].山东大学学报(理学版),2011,46(9):14-17. |
| 作者姓名： | 韩海清 李琴 刘修生 张焕国 |
| 作者单位： | 1. 黄石理工学院数理学院,湖北黄石,435003 2. 黄石理工学院师范学院,湖北黄石,435003 3. 武汉大学计算机学院,湖北武汉,430072 |
| 摘 要： | 线性正形置换具有很好的扩散性,在密码学上可以用于设计P-置换。本文给出了模n剩余类环上的线性正形置换和正形矩阵的定义,得到了剩余类环上的线性正形置换和正形矩阵的计数公式,为密码学上研究环上正形置换的性质提供了理论依据。 |
| 关 键 词： | 剩余类环 线性正形置换 正形矩阵 自同构 |
Linear orthomorphisms and orthomorphic matrix on the ring Z_n |
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| HAN Hai-qing,LI Qin,LIU Xiu-sheng,ZHANG Huan-guo.Linear orthomorphisms and orthomorphic matrix on the ring Z_n[J].Journal of Shandong University,2011,46(9):14-17. | |
| Authors: | HAN Hai-qing LI Qin LIU Xiu-sheng ZHANG Huan-guo |
| Institution: | HAN Hai-qing1,LI Qin2,LIU Xiu-sheng1,ZHANG Huan-guo3 (1.School of Mathmatics and Physics,Huangshi Institute Technology,Huangshi 435003,Hubei,China,2.Normal Department of Huangshi Institute Technology,3.School of Cumputer,Wuhan University,Wuhan 430072,China) |
| Abstract: | Linear orthomorphisms have good diffusibility,which can be used to design the P-permutation in cryptography.The concept of linear orthomorphisms and orthomorphic matrix on the residue class ring Zn was proposed,and counting formulas of linear orthomorphisms and orthomorphic matrix on the residue class modulo-n ring.It provided a theoretical basis for cryptographic research. |
| Keywords: | residue class ring linear orthomorphism orthomorphic matrix automorphism |
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