Projection cubes of symmetric designs
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913784071716864 |
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| author | Krčadinac, Vedran Relić, Lucija |
| author_facet | Krčadinac, Vedran Relić, Lucija |
| contents | We introduce a new type of $n$-dimensional generalization of symmetric $(v,k,λ)$ block designs. We prove upper bounds on the dimension $n$ in terms of $v$ and $k$. We also define the corresponding concept of $n$-dimensional difference sets, and extend some classic families of difference sets to higher dimensions. Complete classifications are performed for small parameters $(v,k,λ)$ and some interesting examples are presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_06936 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Projection cubes of symmetric designs Krčadinac, Vedran Relić, Lucija Combinatorics 05B05, 05B10, 05B20 We introduce a new type of $n$-dimensional generalization of symmetric $(v,k,λ)$ block designs. We prove upper bounds on the dimension $n$ in terms of $v$ and $k$. We also define the corresponding concept of $n$-dimensional difference sets, and extend some classic families of difference sets to higher dimensions. Complete classifications are performed for small parameters $(v,k,λ)$ and some interesting examples are presented. |
| title | Projection cubes of symmetric designs |
| topic | Combinatorics 05B05, 05B10, 05B20 |
| url | https://arxiv.org/abs/2411.06936 |