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On hyperovals in small projective planes

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Abstract

In this paper we collate the results of three computer searches for hyperovals in small projective planes, each of which resulted in new hyperovals. The three searches involve finding all hyperovals with non-trivial automorphisms in PG(2,64), all hyperovals with GF(2) o-polynomials in PG(2, 128) and PG(2, 256) and hyperovals stabilised by a particular group in PG(2, 256).

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Authors and Affiliations

  1. Department of Mathematics, University of Western Australia, 6009, Nedlands, Australia

    Tim Penttila

  2. Department of Computer Science, University of Western Australia, 6009, Nedlands, Australia

    Gordon F. Royle

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  1. Tim Penttila
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  2. Gordon F. Royle
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Penttila, T., Royle, G.F. On hyperovals in small projective planes. J Geom 54, 91–104 (1995). https://doi.org/10.1007/BF01222857

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  • DOI: https://doi.org/10.1007/BF01222857

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