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arXiv · 2411.06936

Projection cubes of symmetric designs

Vedran Krčadinac·Lucija Relić
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Abstract

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.

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Vedran Krčadinac, Lucija Relić. 2025-04-08. Projection cubes of symmetric designs. https://doi.org/10.1007/s11786-025-00608-2

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