Switching for 2-designs
Dean Crnkovi\'c, Andrea \v{S}vob
TL;DR
This paper introduces a switching method for 2-designs, demonstrating its effectiveness by generating new symmetric designs and applying it to designs related to Bush-type Hadamard matrices.
Contribution
The paper presents a novel switching technique for 2-designs and extends its application to symmetric designs associated with Bush-type Hadamard matrices.
Findings
Generated six new symmetric (64,28,12) designs.
Demonstrated the applicability of switching to designs related to Bush-type Hadamard matrices.
Provided a new method for constructing symmetric 2-designs.
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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