On the classification of weighing matrices and self‐orthogonal codes |
| |
| Authors: | Masaaki Harada Akihiro Munemasa |
| |
| Institution: | 1. Department of Mathematical Sciences, Yamagata University, Yamagata 990‐8560, Japan;2. PRESTO, Japan Science and Technology Agency, Kawaguchi, Saitama 332‐0012, Japan;3. Graduate School of Information Sciences, Tohoku University, Sendai 980‐8579, Japan |
| |
| 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 |
| |
| Keywords: | |
|
|
