Some new symmetric Hadamard matrices
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arXiv
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866911846632521728 |
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| author | Đoković, Dragomir Ž. |
| author_facet | Đoković, Dragomir Ž. |
| contents | First examples of symmetric Hadamard matrices of orders 508 and 764 are constructed. The method used is known as the propus construction. A conjecture regarding this method is formally proposed but it appears implicitly in three previous joint papers with N. A. Balonin et alias. The conjecture has been verified for Hadamard matrices of order 4v with odd v<54. In this note the conjecture is verified for v=55,57,59,61,63. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2101_05429 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Some new symmetric Hadamard matrices Đoković, Dragomir Ž. Combinatorics 05B20 (Primary), 05B10 (Secondary) First examples of symmetric Hadamard matrices of orders 508 and 764 are constructed. The method used is known as the propus construction. A conjecture regarding this method is formally proposed but it appears implicitly in three previous joint papers with N. A. Balonin et alias. The conjecture has been verified for Hadamard matrices of order 4v with odd v<54. In this note the conjecture is verified for v=55,57,59,61,63. |
| title | Some new symmetric Hadamard matrices |
| topic | Combinatorics 05B20 (Primary), 05B10 (Secondary) |
| url | https://arxiv.org/abs/2101.05429 |