Amalgams of designs and nets

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4 Citations (SciVal)

Abstract

We present a procedure for amalgamating a net and a collection of designs into a single design. At first this amalgam is just point-regular, but it acquires additional regularities upon imposing restrictions on the ingredients. At its most regular, the amalgam is quasi-symmetric, and designs with the same parameters as those recently constructed by Bracken, McGuire and Ward appear. Along the way we discuss a class of designs generalising Hadamard designs, and we consider the problem of packing projective planes with disjoint line sets into the same point set.
Original languageEnglish
Pages (from-to)841-852
Number of pages12
JournalBulletin of the London Mathematical Society
Volume41
Issue number5
DOIs
Publication statusPublished - 17 Oct 2009

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