Hadamard matrices: skew of orders 276, 292 and symmetric 372
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866910710851698688 |
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| author | Djoković, Dragomir Ž. |
| author_facet | Djoković, Dragomir Ž. |
| contents | The smallest integer v>0 for which no skew-Hadamard matrix of order 4v is known is v=69. We show how to construct several such matrices. We also construct presumably the first example of a skew-Hadamard matrix of order 292, and the first examples of symmetric Hadamard matrices of order 372. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_02751 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Hadamard matrices: skew of orders 276, 292 and symmetric 372 Djoković, Dragomir Ž. Combinatorics 05B20 The smallest integer v>0 for which no skew-Hadamard matrix of order 4v is known is v=69. We show how to construct several such matrices. We also construct presumably the first example of a skew-Hadamard matrix of order 292, and the first examples of symmetric Hadamard matrices of order 372. |
| title | Hadamard matrices: skew of orders 276, 292 and symmetric 372 |
| topic | Combinatorics 05B20 |
| url | https://arxiv.org/abs/2301.02751 |