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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2411.06936 |
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Table des matières:
- 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.