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On the classification of weighing matrices and self-orthogonal codes

✍ Scribed by Masaaki Harada; Akihiro Munemasa

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
265 KB
Volume
20
Category
Article
ISSN
1063-8539

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✦ Synopsis

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. © 2011 Wiley Periodicals, Inc. J Combin Designs 20:40–57, 2012

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