Baer subplanes and blocking sets

DOI10.1090/S0002-9904-1970-12470-3zbMath0207.02601OpenAlexW2133091062MaRDI QIDQ5607250

Publication date: 1970

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9904-1970-12470-3

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Finite affine and projective planes (geometric aspects) (51E15)

Related Items

Note on the ascent of incidence class of projective sets, On the extendability of particular classes of constant dimension codes, A new upper bound for the largest complete \boldmath(𝑘,𝑛)-arc in \boldmath𝑃𝐺(2,𝑞), Rédei blocking sets with two Rédei lines and quasigroups, A new lower bound for the size of an affine blocking set, A bound for blocking sets of Rédei type in finite projective planes, Arcs and blocking sets. II, Multiple blocking sets and multisets in Desarguesian planes, Blocking sets in \(\mathrm{PG}(r,q^n)\), A weighted version of a result of Hamada on minihypers and on linear codes meeting the Griesmer bound, Tight sets and \(m\)-ovoids of finite polar spaces, Projective extensions of Kirkman systems as substructures of projective planes, The Use of Blocking Sets in Galois Geometries and in Related Research Areas, The classification of the smallest nontrivial blocking sets in \(PG(n,2)\), On the smallest maximal partial ovoids and spreads of the generalized quadrangles \(W(q)\) and \(Q(4,q)\), Heden's bound on maximal partial spreads, A remark on blocking sets of almost Rédei type, Proper blocking sets in projective spaces, On the stability of Baer subplanes, Second weight codewords of generalized Reed-Muller codes, On the stability of small blocking sets, Plane curves giving rise to blocking sets over finite fields, Divisible arcs, divisible codes, and the extension problem for arcs and codes, On \(q\)-analogues and stability theorems, On MPS construction of blocking sets in projective spaces: a generalization, Large blocking sets in \(\mathrm{PG}(2,q^2)\), Most plane curves over finite fields are not blocking, Some self-blocking block designs, Tight sets in finite classical polar spaces, New lower bounds for the Turán density of \(PG_m(q)\), A combinatorial characterization of the Baer and the unital cone in \(\mathrm{PG}(3,q^2)\), A characterization of the line set of an odd-dimensional Baer subspace, Arcs in planes of even order, On blocking sets in symmetric BIBD's with \(\lambda\geq 2\), Partial ovoids and partial spreads in symplectic and orthogonal polar spaces, Small maximal partial \(t\)-spreads in \(\mathrm{PG}(2t+1 , q)\), A stability theorem for lines in Galois planes of prime order, Constructions of large arcs and blocking sets in finite planes, Triple factorisations of the general linear group and their associated geometries., Blocking sets of size \(q^t + q^{t-1} + 1\), On blocking sets of quadrics, Relative blocking sets of unions of Baer subplanes, The size of \(m\)-irreducible blocking sets and of the sets of class [\(0,n_{1},\dots ,n_l\)], Note on the existence of large minimal blocking sets in Galois planes, 1-factorizations of complete multigraphs arising from finite geometry, Partial spreads, packings and Hermitian manifolds in \(PG(3,q)\), Blocking sets in \(\text{PG}(2,q^n)\) from cones of \(\text{PG}(2n,q)\), The Sylvester-Gallai theorem, colourings and algebra, Open problems in finite projective spaces, Random constructions and density results, Characterizations of Hermitian varieties by intersection numbers, Tight sets, weighted \(m\)-covers, weighted \(m\)-ovoids, and minihypers, On the number of pairwise non-isomorphic minimal blocking sets in \(\mathrm{PG}(2,q)\), Blocking sets in Desarguesian affine and projective planes, Some generalizations of Rédei’s theorem, Matchings and covers in hypergraphs, Small weight codewords in the dual code of points and hyperplanes in PG\((n, q), q\) even, Arcs, blocking sets, and minihypers, Blocking sets, k-arcs and nets of order ten, The packing problem in statistics, coding theory and finite projective spaces, The non-existence of certain large minimal blocking sets, On the cardinality of blocking sets in PG(2,q), On blocking sets in affine planes, A characterization of the complement of the union of two disjoint Baer subplanes, On a particular class of minihypers and its applications. III: Applications, On a particular class of minihypers and its applications. II: Improvements for \(q\) square, Blocking sets in block designs, Small blocking sets of Hermitian designs