A class of skew-regular quaternary Hadamard matrices
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912986024640512 |
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| author | Kharaghani, Hadi Zaitsev, Vlad |
| author_facet | Kharaghani, Hadi Zaitsev, Vlad |
| contents | This paper introduces and investigates a novel class of skew-regular Quaternary Hadamard matrices. For every odd prime power $p$, we establish the existence of these matrices for all orders $1+p^2$, each characterized by a constant row sum of $1-pi$. Motivated by the growing importance of large-excess matrices in the maximum determinant problem and quantum nonlocality, we demonstrate that this class provides a robust framework for generating Hadamard matrices with exceptionally large excess. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_06489 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A class of skew-regular quaternary Hadamard matrices Kharaghani, Hadi Zaitsev, Vlad Combinatorics This paper introduces and investigates a novel class of skew-regular Quaternary Hadamard matrices. For every odd prime power $p$, we establish the existence of these matrices for all orders $1+p^2$, each characterized by a constant row sum of $1-pi$. Motivated by the growing importance of large-excess matrices in the maximum determinant problem and quantum nonlocality, we demonstrate that this class provides a robust framework for generating Hadamard matrices with exceptionally large excess. |
| title | A class of skew-regular quaternary Hadamard matrices |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2510.06489 |