摘要
提出了正形置换多项式的概念 ,证明了正形置换多项式的几条性质 ,给出了正形置换一种刻划 ,证明了GF(2 ) m 上的所有正形置换的数目一定可以被 2 m 整除 ,并得到了这个数目的表示式 .这些结果为正形置换的研究提供了一种新的途径 .
The concept of orthomorphic permutation polynomial is given and several properties about it are proved, on the basis of which we give characterization for orthomorphic permutations. Furthermore, it is shown that the number of all orthomorphic permutation is GF(2) m can be diveided by 2 m, and several expressions for the number of all orthomorphic permutation in GF(2) m are obtained. These results provide a new way for studying orthomorphic permutation.
出处
《西安电子科技大学学报》
EI
CAS
CSCD
北大核心
2000年第6期809-812,共4页
Journal of Xidian University
基金
国家自然科学基金资助项目!(1990 10 2 8)
关键词
正形置换
特征
刻划
计数
密码学
orthomorphic permutation
orthomorphic permutation polynomial
character
