Enumeration of some matrices and free linear codes over commutative finite local rings

被引：2

作者：

Sirisuk, Siripong ^{[1
]}

机构：

[1] Thammasat Univ, Fac Sci & Techonol, Dept Math & Stat, Pathum Thani 12120, Thailand

来源：

SPECIAL MATRICES | 2022年 / 10卷 / 01期

关键词：

McCoy rank; free linear code; local ring;

D O I：

10.1515/spma-2021-0150

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a commutative finite local ring. Two enumeration problems over R are presented. We enumerate the matrices over R with a given McCoy rank and a given number of rows of single unit, and the free linear codes over R which have a given rank and a given number of vectors of single unit.

引用

页码：109 / 116

页数：8

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