On the classification of skew Hadamard matrices of order 36 and related structures
Fuente:
arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913236200194048 |
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| author | Araya, Makoto Harada, Masaaki Kharaghani, Hadi Mohammadian, Ali Tayfeh-Rezaie, Behruz |
| author_facet | Araya, Makoto Harada, Masaaki Kharaghani, Hadi Mohammadian, Ali Tayfeh-Rezaie, Behruz |
| contents | Two skew Hadamard matrices are considered {\sf SH}-equivalent if they are similar by a signed permutation matrix. This paper determines the number of {\sf SH}-inequivalent skew Hadamard matrices of order $36$ for some types. We also study ternary self-dual codes and association schemes constructed from the skew Hadamard matrices of order $36$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_11074 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the classification of skew Hadamard matrices of order 36 and related structures Araya, Makoto Harada, Masaaki Kharaghani, Hadi Mohammadian, Ali Tayfeh-Rezaie, Behruz Combinatorics 05B20, 15B34, 94B05 Two skew Hadamard matrices are considered {\sf SH}-equivalent if they are similar by a signed permutation matrix. This paper determines the number of {\sf SH}-inequivalent skew Hadamard matrices of order $36$ for some types. We also study ternary self-dual codes and association schemes constructed from the skew Hadamard matrices of order $36$. |
| title | On the classification of skew Hadamard matrices of order 36 and related structures |
| topic | Combinatorics 05B20, 15B34, 94B05 |
| url | https://arxiv.org/abs/2402.11074 |