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Arcs and ovals in steiner triple systems

  • Hanfried Lenz
  • Herbert Zeitler
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 969)

Abstract

Several constructions of Steiner triple systems (STS) with ovals are given. For every v ≡ 3 or 7 mod 12 there are STS's with hyperovals, for every v ≡ 1 or 3 mod 6 there are STS's with ovals, and for infinitely many v ≡ 1 or 3 mod 6 there are STS's without ovals. The ovals may be classified by their complementary sets, the so-called counterovals. Several questions remain open.

Keywords

Automorphism Group Incidence Matrix Steiner Triple System Balance Incomplete Block Design Steiner System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • Hanfried Lenz
    • 1
  • Herbert Zeitler
    • 2
  1. 1.Freie UniversitätBerlin 33
  2. 2.Universität BayreuthBayreuthGermany

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