New Results on Arcs in Projective Hjelmslev Planes over Small Chain Rings
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909303447748608 |
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| author | Honold, Thomas Kiermaier, Michael Landjev, Ivan |
| author_facet | Honold, Thomas Kiermaier, Michael Landjev, Ivan |
| contents | We present various new constructions and bounds for arcs in projective Hjelmslev planes over finite chain rings of nilpotency index 2. For the chain rings of cardinality at most 25 we give updated tables with the best known upper and lower bounds for the maximum size of such arcs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_02099 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | New Results on Arcs in Projective Hjelmslev Planes over Small Chain Rings Honold, Thomas Kiermaier, Michael Landjev, Ivan Combinatorics 51E21, 51E22, 51E15, 51E23, 94B65 G.2 We present various new constructions and bounds for arcs in projective Hjelmslev planes over finite chain rings of nilpotency index 2. For the chain rings of cardinality at most 25 we give updated tables with the best known upper and lower bounds for the maximum size of such arcs. |
| title | New Results on Arcs in Projective Hjelmslev Planes over Small Chain Rings |
| topic | Combinatorics 51E21, 51E22, 51E15, 51E23, 94B65 G.2 |
| url | https://arxiv.org/abs/2409.02099 |