Abstract
In 1974 J.A. Thas constructed a class of maximal arcs in certain translation planes of square order, including the Desarguesian ones, but not the Hall planes. We construct a family of maximal arcs in the Hall planes inherited from the Thas maximal arcs in the Desarguesian planes. In particular, maximal arcs are shown to exist in all Hall planes of even order.
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The author gratefully acknowledges the support of an Australian Postgraduate Research Award.
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Hamilton, N. Some maximal arcs in Hall planes. J Geom 52, 101–107 (1995). https://doi.org/10.1007/BF01406830
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DOI: https://doi.org/10.1007/BF01406830