Two constructions of quaternary Legendre pairs of even length
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866915144013971456 |
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| author | Jedwab, Jonathan Pender, Thomas |
| author_facet | Jedwab, Jonathan Pender, Thomas |
| contents | We give the first general constructions of even length quaternary Legendre pairs: there is a quaternary Legendre pair of length $(q-1)/2$ for every prime power $q$ congruent to $1$ modulo $4$, and there is a quaternary Legendre pair of length $2p$ for every odd prime $p$ for which $2p-1$ is a prime power. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_08472 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Two constructions of quaternary Legendre pairs of even length Jedwab, Jonathan Pender, Thomas Combinatorics 05B20, 05B30 We give the first general constructions of even length quaternary Legendre pairs: there is a quaternary Legendre pair of length $(q-1)/2$ for every prime power $q$ congruent to $1$ modulo $4$, and there is a quaternary Legendre pair of length $2p$ for every odd prime $p$ for which $2p-1$ is a prime power. |
| title | Two constructions of quaternary Legendre pairs of even length |
| topic | Combinatorics 05B20, 05B30 |
| url | https://arxiv.org/abs/2408.08472 |