On the ranks of skew-centrosymmetric matrices over finite fields

被引：7

作者：

Culler, KW ^{[1
]}

Price, GL ^{[1
]}

机构：

[1] USN ACAD,DEPT MATH 9E,ANNAPOLIS,MD 21402

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1996年 / 248卷

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0024-3795(95)00249-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For any finite field F we determine the number of n by n matrices of skew-centrosymmetric form which are invertible over F. This result is obtained using a unimodality property of the ranks of matrices of this form. As a corollary to this result we count die n by n matrices of skew-centrosymmetric form of any specified rank.

引用

页码：317 / 325

页数：9

共 10 条

[1] ENTROPY FOR CANONICAL SHIFTS [J].