engleski

Switching for 2-designs

In this talk, we introduce a switching for 2-design. We illustrate the method by applying it to some 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. We apply the switching to the designs and construct symmetric (36, 15, 6) designs leading to new Bush-type Hadamard matrices of order 36, and symmetric (100, 45, 20) designs yielding Bush-type Hadamard matrices of order 100. We show that switching introduced in this talk can be applied directly to orbit matrices.

symmetric design ; automorphism group

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