engleski

Pairwise balanced designs and periodic Golay pairs

In this talk we will focus on a connection between certain pairwise balanced designs with v points and periodic Golay pairs of length v. The talk is based on recent work where we construct pairwise balanced designs with v points having an assumed cyclic automorphism group, and using isomorph rejection which is compatible with the equivalence of corresponding periodic Golay pairs, we complete the classification of periodic Golay pairs of length less than 40, up to equivalence. Further, we will show how we use similar tools to construct new periodic Golay pairs of lengths greater than 40 where classifications remain incomplete, and demonstrate that under some extra conditions on its automorphism group, a periodic Golay pair of length 90 do not exist.

pairwise balanced design ; golay pair

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