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On the classification of weighing matrices and self‐orthogonal codes
Author(s) -
Harada Masaaki,
Munemasa Akihiro
Publication year - 2012
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.20295
Subject(s) - mathematics , ternary operation , orthogonal array , combinatorics , order (exchange) , orthogonal matrix , statistics , orthogonal basis , computer science , physics , finance , quantum mechanics , taguchi methods , economics , programming language
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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