Hyperovals in Steiner systems

Document Type

Article

Publication Date

8-2003

Department

Department of Mathematical Sciences

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.

Publication Title

Journal of Geometry

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