A new reducibility results for minihypers in finite projective geometries
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866909501987225600 |
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| author | Landjev, Ivan Rousseva, Assia Vorobev, Konstantin |
| author_facet | Landjev, Ivan Rousseva, Assia Vorobev, Konstantin |
| contents | In this paper we prove a new reducibility result for mini-hypers in projective geometries over finite fields. It is further used to characterize the minihypers with parameters (70, 22) in PG(4, 3). The latter can be used to attack the existence problem for some hypothetical ternary Griesmer codes of dimension 6. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_13271 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A new reducibility results for minihypers in finite projective geometries Landjev, Ivan Rousseva, Assia Vorobev, Konstantin Combinatorics 05A05, 05A20, 94B25, 94B65 In this paper we prove a new reducibility result for mini-hypers in projective geometries over finite fields. It is further used to characterize the minihypers with parameters (70, 22) in PG(4, 3). The latter can be used to attack the existence problem for some hypothetical ternary Griesmer codes of dimension 6. |
| title | A new reducibility results for minihypers in finite projective geometries |
| topic | Combinatorics 05A05, 05A20, 94B25, 94B65 |
| url | https://arxiv.org/abs/2502.13271 |