北京交通大学学报2013，Vol.37Issue(5)：123-127,5.
有限域Fnq上的广义线性正形置换计数
Numeration of generalized linear orthomorphisms over the galois field Fnq
摘要
Abstract
The orthomorphisms have good cryptologic properties on the finite field and are widely used.This paper generalizes the concept of orthomorphisms,and obtains the counting formula on the generalized linear orthomorphisms over the Galois field with the arbitrary prime number pas the characteristic and the partial generation algorithm of generalized linear orthomorphisms.The counting formula of the linear orthomorphisms over the finite field with characteristic 2 is the special case in this paper.Furthermore,the generalized linear orthomorphisms that this paper has generated can gain the maximum branch number when they are designed as P-permutations.关键词
分组密码/P-置换/有限域/广义线性正形置换Key words
block cipher/ P-permutation/ finite field/ generalized linear orthomorphism分类
信息技术与安全科学引用本文复制引用
韩海清,张焕国..有限域Fnq上的广义线性正形置换计数[J].北京交通大学学报,2013,37(5):123-127,5.基金项目
有理分式公钥密码构造理论研究资助项目(60970115) （60970115）
湖北理工学院校级项目资助(801-8852) （801-8852）
