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Volume 24 Issue 9
Sep.  2002
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Kang Baoyuan . Constructions and enumerations of orthomorphic permutations in cryptosystems[J]. Journal of Electronics & Information Technology, 2002, 24(9): 1294-1296.
Citation: Kang Baoyuan . Constructions and enumerations of orthomorphic permutations in cryptosystems[J]. Journal of Electronics & Information Technology, 2002, 24(9): 1294-1296.

Constructions and enumerations of orthomorphic permutations in cryptosystems

  • Received Date: 2001-02-11
  • Rev Recd Date: 2001-07-11
  • Publish Date: 2002-09-19
  • Orthornorphic permutations have good charateristic in cryptosystems.In this paper, by using of knowledge about finite group to investigate the constructions and enumerations of orthormophic permutations, several results are obtained.
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  • L. Mittenthal, Block substitutions using orthomorphic mapping.[J]. Advances in Applied Mathematics.1995,16:59-[2]Z. Liu, C. Shu, D. Ye, A method for constructing orthomorphic Permutations of Degree 2m,China Crypt96, Zhengzhou, 1996, 4, 56-59.[3]邢育森,林晓东,杨义先,杨放春,密码体制中正形置换的构造与记数,通信学报,1999,20(2),27-30.[4]冯登国,刘振华,关于正形置换的构造,通信保密,1996,66(2),61-64.[5]廖勇,卢起骏,仿射正形置换的构造与记数,密码与信息,1996,(2),23-25.[6]亢保元,王育民,正形置换与正形拉丁方的两个结果,西安电子科技大学学报,1997,24(3),421-424.[7]亢保元,王育民,线性置换与正形置换,西安电子科技大学学报,1998,25(2),254-256.[8]高等代数(第二版),北京大学数学系几何与代数教研室代数小组编,北京,高等教育出版社,1988.
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