Research on orthomorphic permutations based on concatenation

doi:10.3778/j.issn.1002-8331.2010.17.013

Computer Engineering and Applications ›› 2010, Vol. 46 ›› Issue (17): 45-47.DOI: 10.3778/j.issn.1002-8331.2010.17.013

• 研究、探讨 • Previous Articles Next Articles

Research on orthomorphic permutations based on concatenation

GUO Jiang-jiang¹，ZHENG Hao-ran¹，JIANG Hong²

1.Institute of Electronic Technology，PLA Information Engineering University，Zhengzhou 450004，China
2.PLA East-Ocean Marine Command，China

Received:2008-12-18 Revised:2009-03-09 Online:2010-06-11 Published:2010-06-11
Contact: GUO Jiang-jiang

基于并置方法构造的正形置换性质研究

郭江江¹，郑浩然¹，蒋鸿²

1.解放军信息工程大学电子技术学院，郑州 450004
2.解放军东海舰队司令部

通讯作者: 郭江江

Abstract

Abstract: Orthomorphic permutations play important roles in the design of cryptosystem.Based on the equivalence of orthomorphic permutations and transversals of orthomorphic Latin square，some conclusions of orthomorphic permutations based on concatenation are obtained by researching the properties of linearity，fixed point，cycles and period.

Key words: orthomorphic permutation, orthomorphic Latin square, transversal, cycles, period

摘要： 正形置换在密码体制中有重要应用，根据正形置换和正形拉丁方截集的等价关系，研究了基于并置方法构造的正形置换的线性性、不动点、轮换和周期，给出了一些具体的结果。

关键词: 正形置换, 正形拉丁方, 截集, 轮换, 周期

CLC Number:

TN918.1

GUO Jiang-jiang¹，ZHENG Hao-ran¹，JIANG Hong². Research on orthomorphic permutations based on concatenation[J]. Computer Engineering and Applications, 2010, 46(17): 45-47.

郭江江¹，郑浩然¹，蒋鸿². 基于并置方法构造的正形置换性质研究[J]. 计算机工程与应用, 2010, 46(17): 45-47.

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Research on orthomorphic permutations based on concatenation

基于并置方法构造的正形置换性质研究

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