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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2605.23681 |
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| _version_ | 1866918518640869376 |
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| author | Gilchrist, Jack Lia, Stefano Paul, Arani Sheekey, John |
| author_facet | Gilchrist, Jack Lia, Stefano Paul, Arani Sheekey, John |
| contents | In this paper we completely classify semifields of order $2^8=256$ containing a nucleus of order $2^4=16$. We introduce new invariants for semifields, and apply new computational techniques for calculating old invariants. Together these make the computational classification significantly quicker. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_23681 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | New invariants for rank metric codes, with applications to the classification of rank two semifields of order 256 Gilchrist, Jack Lia, Stefano Paul, Arani Sheekey, John Combinatorics In this paper we completely classify semifields of order $2^8=256$ containing a nucleus of order $2^4=16$. We introduce new invariants for semifields, and apply new computational techniques for calculating old invariants. Together these make the computational classification significantly quicker. |
| title | New invariants for rank metric codes, with applications to the classification of rank two semifields of order 256 |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2605.23681 |