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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.08274 |
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| _version_ | 1866909572318363648 |
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| author | Hetman, Ivan |
| author_facet | Hetman, Ivan |
| contents | In this paper new Steiner systems $S(2,6,121)$, $S(2,6,126)$, $S(2,7,169)$ are introduced. Also some non-existence results for line lengths $7..11$ are presented. There is no solid proof that presented algorithm is exhaustive or correct, but it produces same results on already known difference families for line lengths $3..6$. Due to calculation-based approach this paper probably won't be published, but will be submitted to arxiv as it contains some new results |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_08274 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Steiner systems S(2,6,121/126), S(2,7,169) based on difference families Hetman, Ivan Combinatorics Algebraic Geometry In this paper new Steiner systems $S(2,6,121)$, $S(2,6,126)$, $S(2,7,169)$ are introduced. Also some non-existence results for line lengths $7..11$ are presented. There is no solid proof that presented algorithm is exhaustive or correct, but it produces same results on already known difference families for line lengths $3..6$. Due to calculation-based approach this paper probably won't be published, but will be submitted to arxiv as it contains some new results |
| title | Steiner systems S(2,6,121/126), S(2,7,169) based on difference families |
| topic | Combinatorics Algebraic Geometry |
| url | https://arxiv.org/abs/2401.08274 |