Switching for 2-designs

2021/08/05 by Crnković, Dean, Švob, Andrea · 1 citation
#05B05 #05B20 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2108.02529

Abstract

In this paper we introduce a switching for 2-designs. We illustrate this method by applying it to some symmetric (64,28,12) designs. In that way we obtain six new symmetric (64,28,12) designs. Further, we show that this type of switching can be applied to any symmetric design related to a Bush-type Hadamard matrix.

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• A universal theory of switching for combinatorial objects, and applications to complex Hadamard matrices

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