Counting matrices over finite fields having a given number of rows of unit weight

被引：7

作者：

Abdel-Ghaffar, Khaled A. S. ^{[1
]}

机构：

[1] Univ Calif Davis, Dept Elect & Comp Eng, Davis, CA 95616 USA

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2012年 / 436卷 / 07期

关键词：

Matrices over finite fields; Vector spaces over finite fields; Rank; Weight; Linear codes;

D O I：

10.1016/j.laa.2011.08.049

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a formula enumerating matrices over a finite field of a given rank and a given number of rows of unit weight, i.e., each having a single nonzero entry. We also determine the number of subspaces of a given dimension containing a given number of vectors of unit weight. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：2665 / 2669

页数：5

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