The classification of the smallest nontrivial blocking sets in \(PG(n,2)\)

DOI10.1016/j.jcta.2005.11.002zbMath1117.51011OpenAlexW1998187090MaRDI QIDQ855848

Patrick Govaerts, Storme, L.

Publication date: 7 December 2006

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2005.11.002

zbMATH Keywords

blocking setsGalois spaces

Mathematics Subject Classification ID

Blocking sets, ovals, (k)-arcs (51E21)

Related Items (8)

The Use of Blocking Sets in Galois Geometries and in Related Research Areas ⋮ Stability and exact Turán numbers for matroids ⋮ On the non-trivial minimal blocking sets in binary projective spaces ⋮ A geometric version of the Andrásfai-Erdős-Sós theorem ⋮ Dense binary \(\mathrm{PG}(t-1,2)\)-free matroids have critical number \(t-1\) or \(t\) ⋮ Open problems in finite projective spaces ⋮ Minimal Blocking Sets inPG(n, 2) and Covering Groups by Subgroups ⋮ The characterisation of the smallest two fold blocking sets in PG\((n, 2)\)

Cites Work

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• On small blocking sets and their linearity
• Blocking sets and partial spreads in finite projective spaces
• On the size of a blocking set in \(\text{PG}(2,p)\)
• Small minimal blocking sets in \(\text{PG}(2,q^3)\)
• Small blocking sets in \(PG(2,p^3)\)
• Small minimal blocking sets and complete \(k\)-arcs in PG\((2,p^3)\)
• A characterization of flat spaces in a finite geometry and the uniqueness of the hamming and the MacDonald codes
• Baer subplanes and blocking sets

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