A series of separable designs with application to pairwise orthogonal Latin squares

A.E. Brouwer

    Research output: Contribution to journalArticleAcademicpeer-review

    28 Citations (Scopus)

    Abstract

    We observe that a partitien of PG(2, q2) into Baer subplanes gives rise to certain separable pairwise balanced block designs (with ¿ = 1) which in turn can be used to get more mutually orthogonal Latin squares of certain orders than previously known. As a side result we find an embedding of STS(19) in PG(2, 11), thus refuting a conjecture of M. Limbos.
    Original languageEnglish
    Pages (from-to)39-41
    JournalEuropean Journal of Combinatorics
    Volume1
    Publication statusPublished - 1980

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