A complex Hadamard matrix of order 94
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917329588191232 |
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| author | Szöllősi, Ferenc |
| author_facet | Szöllősi, Ferenc |
| contents | In this paper we modify a fundamental block construction of Kharaghani and Seberry and show how to use certain circulant $\{-1,1\}$-matrices of odd order $p$ to construct a complex Hadamard matrix of order $2p$. In particular, for $p=47$ we use computer-aided methods to discover the necessary circulant matrices, and consequently give a construction of a complex Hadamard matrix of order $94$ for the first time. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_09572 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A complex Hadamard matrix of order 94 Szöllősi, Ferenc Combinatorics 05B20 In this paper we modify a fundamental block construction of Kharaghani and Seberry and show how to use certain circulant $\{-1,1\}$-matrices of odd order $p$ to construct a complex Hadamard matrix of order $2p$. In particular, for $p=47$ we use computer-aided methods to discover the necessary circulant matrices, and consequently give a construction of a complex Hadamard matrix of order $94$ for the first time. |
| title | A complex Hadamard matrix of order 94 |
| topic | Combinatorics 05B20 |
| url | https://arxiv.org/abs/2603.09572 |