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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2109.11221 |
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| _version_ | 1866916098371223552 |
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| author | Abel, R. Julian R. Britz, Thomas Bunjamin, Yudhistira A. Combe, Diana |
| author_facet | Abel, R. Julian R. Britz, Thomas Bunjamin, Yudhistira A. Combe, Diana |
| contents | In this paper we provide a $4$-GDD of type $2^2 5^5$, thereby solving the existence question for the last remaining feasible type for a $4$-GDD with no more than $30$ points. We then show that $4$-GDDs of type $2^t 5^s$ exist for all but a finite specified set of feasible pairs $(t,s)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2109_11221 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Group divisible designs with block size 4 and group sizes 2 and 5 Abel, R. Julian R. Britz, Thomas Bunjamin, Yudhistira A. Combe, Diana Combinatorics 05B05 In this paper we provide a $4$-GDD of type $2^2 5^5$, thereby solving the existence question for the last remaining feasible type for a $4$-GDD with no more than $30$ points. We then show that $4$-GDDs of type $2^t 5^s$ exist for all but a finite specified set of feasible pairs $(t,s)$. |
| title | Group divisible designs with block size 4 and group sizes 2 and 5 |
| topic | Combinatorics 05B05 |
| url | https://arxiv.org/abs/2109.11221 |