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Hyperovals in Steiner systems

Journal of Geometry volume 77, pages 129–135 (2003)Cite this article

Abstract.

In this paper, we show that the basic necessary condition for the existence of a (k; 0, 2)-set in an S(2, 4, v) is also sufficient. It solves a problem posed by de Resmini [6] and we also prove some asymptotic results concerning the existence of hyperovals in Steiner systems with large block size. The results are generally applicable to designs with maximal arcs.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Michigan Technological University, 49931, Houghton, MI, USA

    Alan C. H. Ling

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  1. Alan C. H. Ling
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Correspondence to Alan C. H. Ling.

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Cite this article

Ling, A.C. Hyperovals in Steiner systems. J. Geom. 77, 129–135 (2003). https://doi.org/10.1007/s00022-003-1499-z

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  • DOI: https://doi.org/10.1007/s00022-003-1499-z

Mathematics Subject Classification (2000):

  • 51E10
  • 05B05

Key words:

  • Steiner systems
  • hyperovals

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