Blocking sets in projective spaces

Aart Blokhuis, Péter Sziklai, Tamás Szonyi

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureHoofdstukAcademicpeer review

17 Citaten (Scopus)
1 Downloads (Pure)

Samenvatting

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
Originele taal-2Engels
TitelCurrent research topics in Galois geometry
RedacteurenL. Storme, J. De Beule
Plaats van productieNew York
UitgeverijNova Science
Pagina's61-84
Aantal pagina's24
ISBN van elektronische versie9781620813638
ISBN van geprinte versie978-1-61209-523-3
StatusGepubliceerd - 2012

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