On the classification of weighing matrices and self-orthogonal codes

被引：12

作者：

Harada, Masaaki ^{[1
,2
]}

Munemasa, Akihiro ^{[3
]}

机构：

[1] Yamagata Univ, Dept Math Sci, Yamagata 9908560, Japan

[2] Japan Sci & Technol Agcy, PRESTO, Kawaguchi, Saitama 3320012, Japan

[3] Tohoku Univ, Grad Sch Informat Sci, Sendai, Miyagi 9808579, Japan

来源：

JOURNAL OF COMBINATORIAL DESIGNS | 2012年 / 20卷 / 01期

关键词：

DUAL CODES; Z(4) CODES; LENGTH; GF(3);

D O I：

10.1002/jcd.20295

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide a classification method of weighing matrices based on a classification of self-orthogonal codes. Using this method, we classify weighing matrices of orders up to 15 and order 17, by revising some known classification. In addition, we give a revised classification of weighing matrices of weight 5. A revised classification of ternary maximal self-orthogonal codes of lengths 18 and 19 is also presented. (C) 2011 Wiley Periodicals, Inc. J Combin Designs 20:40-57, 2012

引用

页码：40 / 57

页数：18

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