On the classification of weighing matrices and self-orthogonal codes

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Abstract

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.

Original languageEnglish
Pages (from-to)40-57
Number of pages18
JournalJournal of Combinatorial Designs
Volume20
Issue number1
DOIs
Publication statusPublished - 2012 Jan 1

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics

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