Blocking sets in projective spaces

Aart Blokhuis, Péter Sziklai, Tamás Szonyi

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

11 Citations (Scopus)
1 Downloads (Pure)

Abstract

In this paper we collect results on the possible sizes of k-blocking sets. Since previous surveys focused mainly on blocking sets in the plane, we concentrate our attention on blocking sets in higher dimensions. Lower bounds on the size of the smallest non-trivial k-blocking set are surveyed in detail. The linearity conjecture and known results supporting the conjecture (e.g. proofs in particular cases) are collected. The known constructions are also presented. In case of planar minimal blocking sets we only discuss the constructions briefly. In case of higher dimensions the situation is not satisfactory, there are more open questions than known constructions. Keywords: (Semi-)ovoid; Blocking set; Minihyper; Rédei type
Original languageEnglish
Title of host publicationCurrent research topics in Galois geometry
EditorsL. Storme, J. De Beule
Place of PublicationNew York
PublisherNova Science
Pages61-84
Number of pages24
ISBN (Electronic)9781620813638
ISBN (Print)978-1-61209-523-3
Publication statusPublished - 2012

Keywords

  • (Semi-)ovoid
  • Blocking set
  • Minihyper
  • Rédei type

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