Unitals in the Desarguesian projective plane of order 16

John Bamberg, A. Betten, Cheryl Praeger, A. Wassermann

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    5 Citations (Scopus)

    Abstract

    Using computer, we classify the unitals in the Desarguesian projective plane of order 16. We use computational methods based on analysis involving tactical decompositions to break symmetry, making a computer search feasible. We prove that all unitals in PG(2, 16) are known, namely, up to isomorphism, there are exactly two Buekenhout-Metz unitals (one of them the Hermitian curve). © 2012 Elsevier B.V.
    Original languageEnglish
    Pages (from-to)110-122
    JournalJournal of Statistical Planning and Inference
    Volume144
    Issue number1
    DOIs
    Publication statusPublished - 2014

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