Projection cubes of symmetric designs
We introduce a new type of $n$-dimensional generalization of symmetric $(v,k,\lambda)$ block designs. We prove an upper bound on the dimension $n$ in terms of $v$. We also define the corresponding concept of $n$-dimensional difference sets and extend some classic families of difference sets to highe...
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| creator | Krčadinac, Vedran Relić, Lucija |
| description | We introduce a new type of $n$-dimensional generalization of symmetric
$(v,k,\lambda)$ block designs. We prove an upper bound on the dimension $n$ in
terms of $v$. 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
$(v,k,\lambda)$ and some interesting examples are presented. |
| doi_str_mv | 10.48550/arxiv.2411.06936 |
| format | Article |
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difference sets and extend some classic families of difference sets to higher
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difference sets and extend some classic families of difference sets to higher
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$(v,k,\lambda)$ block designs. We prove an upper bound on the dimension $n$ in
terms of $v$. 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
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| subjects | Mathematics - Combinatorics |
| title | Projection cubes of symmetric designs |
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