文献类型：会议论文

英文题名：Some results on the construction of linear orthomorphic permutations

作者：Du, Jiao[1]; Pang, Shanqi[2]

第一作者：杜蛟

通讯作者：Du, J.|[1107150071015]杜蛟;

机构：[1] Department of Mathematics and Information Science, Xinxiang University, Henan Xinxiang 453003, China; [2] College of Mathematics and Information Science, Henan Normal University, Henan Xinxiang, 453007, China

第一机构：新乡学院数学与信息科学学院

通讯机构：[1]Department of Mathematics and Information Science, Xinxiang University, Henan Xinxiang 453003, China|[1107121]新乡学院数学与信息科学学院;[11071]新乡学院;

会议论文集：Proceedings - 4th International Conference on Computational and Information Sciences, ICCIS 2012

会议日期：August 17, 2012 - August 19, 2012

会议地点：Chongqing, China

语种：英文

外文关键词：Artificial intelligence - Software engineering

摘要：Orthomorphic permutations have many important applications in the design of block ciphers, hashing functions and pseudo-random sequence generators. The properties of a class of linear orthomorphic permutations are investigated in this paper, and the existence of integer l such that x + H(x) = Hl (x) is also studied, where H is an maximal linear orphic permutation. At last, we present an example to search the integer l that it satisfies the above condition, this method is only concerned m sequence, hence it is easily implemented. ? 2012 IEEE.