Symmetric Hadamard matrices of orders 268, 412, 436 and 604
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2018
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| _version_ | 1866929216211124224 |
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| author | Balonin, N. A. Djokovic, D. Z. |
| author_facet | Balonin, N. A. Djokovic, D. Z. |
| contents | We construct many symmetric Hadamard matrices of small order by using the so called propus construction. The necessary difference families are constructed by restricting the search to the families which admit a nontrivial multiplier. Our main result is that we have constructed, for the first time, symmetric Hadamard matrices of order 268, 412, 436 and 604. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1803_08787 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Symmetric Hadamard matrices of orders 268, 412, 436 and 604 Balonin, N. A. Djokovic, D. Z. Combinatorics 05B20 (Primary) 05B15, 05B30 (Secondary) We construct many symmetric Hadamard matrices of small order by using the so called propus construction. The necessary difference families are constructed by restricting the search to the families which admit a nontrivial multiplier. Our main result is that we have constructed, for the first time, symmetric Hadamard matrices of order 268, 412, 436 and 604. |
| title | Symmetric Hadamard matrices of orders 268, 412, 436 and 604 |
| topic | Combinatorics 05B20 (Primary) 05B15, 05B30 (Secondary) |
| url | https://arxiv.org/abs/1803.08787 |