New Steiner systems $S(2,6,v)$ with block length 6
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866915699082919936 |
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| author | Banakh, Taras Hetman, Ivan Ravsky, Alex |
| author_facet | Banakh, Taras Hetman, Ivan Ravsky, Alex |
| contents | In this paper various Steiner systems $S(2,k,v)$ for $k = 6$ are collected and enumerated for specific constructions. In particular, two earlier unknown types of $1$-rotational designs are found for the groups $SL(2,5)$ and $((\mathbb Z_3 \times \mathbb Z_3) \rtimes \mathbb Z_3) \times \mathbb Z_5$. Also new Steiner systems $S(2,6,96), S(2,6,106), S(2,6,111)$ are listed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_16009 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | New Steiner systems $S(2,6,v)$ with block length 6 Banakh, Taras Hetman, Ivan Ravsky, Alex Combinatorics 51E05, 51E10 In this paper various Steiner systems $S(2,k,v)$ for $k = 6$ are collected and enumerated for specific constructions. In particular, two earlier unknown types of $1$-rotational designs are found for the groups $SL(2,5)$ and $((\mathbb Z_3 \times \mathbb Z_3) \rtimes \mathbb Z_3) \times \mathbb Z_5$. Also new Steiner systems $S(2,6,96), S(2,6,106), S(2,6,111)$ are listed. |
| title | New Steiner systems $S(2,6,v)$ with block length 6 |
| topic | Combinatorics 51E05, 51E10 |
| url | https://arxiv.org/abs/2507.16009 |