Subsets of P^4 with no four points on a plane
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917067323604992 |
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| author | Van de Voorde, Geertrui Voloch, José Felipe |
| author_facet | Van de Voorde, Geertrui Voloch, José Felipe |
| contents | We describe a new construction of a subset of P^4 with no four points on a plane over any finite field of order q in which 3 is not a square. This set has size 2q + 1, is maximal with respect to inclusion, and is the largest known such set. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_04884 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Subsets of P^4 with no four points on a plane Van de Voorde, Geertrui Voloch, José Felipe Combinatorics 51E22, 51E21 We describe a new construction of a subset of P^4 with no four points on a plane over any finite field of order q in which 3 is not a square. This set has size 2q + 1, is maximal with respect to inclusion, and is the largest known such set. |
| title | Subsets of P^4 with no four points on a plane |
| topic | Combinatorics 51E22, 51E21 |
| url | https://arxiv.org/abs/2511.04884 |