%0 Journal Article
%T A New Method for Construction of Orthomorphic Permutations<br>一种新的正形置换构造方法
%A Zheng Hao-ran
%A Zhang Hai-mo
%A Cui Ting
%A Du Xiao-qiang
%A <br>郑浩然
%A 张海模
%A 崔 霆
%A 杜晓强
%J 电子与信息学报
%D 2009
%I 
%X Orthomorphic permutations have important application in the design of cryptosystems. Based on the one-to-one corresponding relationship between orthomorphic permutations and transversals of orthomorphic Latin square, the construction issue for orthomorphic permutations is studied, a new construction method is proposed to construct a (n+1)-bit orthomorphic permutation from a n-bit one where n?1. The method extends to obtain a composite transversal of orthomorphic Latin square by employing a transversal of orthomorphic Latin square and its supplementary sequence transversal, based on composite transversal of , transversal of is constructed. Using the method, (n+1)-bit orthomorphic permutations from a n-bit one can be obtained.
%K Cryptography
%K Orthomorphic permutation
%K Orthomorphic Latin square
%K Transversal
%K Composite transversal<br>密码学
%K 正形置换
%K 正形拉丁方
%K 截集
%K 复合截集
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=1319827C0C74AAE8D654BEA21B7F54D3&jid=EFC0377B03BD8D0EF4BBB548AC5F739A&aid=A20F155BB7A4FA2C6FC390A94EE95943&yid=DE12191FBD62783C&vid=4AD960B5AD2D111A&iid=B31275AF3241DB2D&sid=5A66347DEC1DE6F4&eid=9BBC04B2CAF22446&journal_id=1009-5896&journal_name=电子与信息学报&referenced_num=1&reference_num=23