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A geometric approach to Mathon maximal arcs
Authors:F De Clerck  T Maes
Institution:a Department of Pure Mathematics and Computer Algebra, Ghent University, Krijgslaan 281 - S22, B-9000 Gent, Belgium
b Department of Mathematics, Ohio University, Morton 321, Athens, OH 45701, USA
Abstract:In 1969 Denniston 3] gave a construction of maximal arcs of degree d in Desarguesian projective planes of even order q, for all d dividing q. In 2002 Mathon 8] gave a construction method generalizing the one of Denniston. We will give a new geometric approach to these maximal arcs. This will allow us to count the number of isomorphism classes of Mathon maximal arcs of degree 8 in PG(2,h2), h prime.
Keywords:Maximal arcs  Hyperovals  Conics
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