Partitioning Projective Geometries into Caps

DOI10.4153/CJM-1985-063-1zbMath0571.51002OpenAlexW1987242251MaRDI QIDQ3689003

Gary L. Ebert

Publication date: 1985

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-1985-063-1

zbMATH Keywords

balanced incomplete block designBIBDpartition into ovoidspartition of PG(2n-1,q) into caps

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Combinatorial aspects of block designs (05B05) General theory of linear incidence geometry and projective geometries (51A05) General block designs in finite geometry (51E05) Other finite incidence structures (geometric aspects) (51E30)

Related Items (25)

Tight sets and \(m\)-ovoids of generalised quadrangles ⋮ Intersections in projective space. II: Pencils of quadrics ⋮ Further combinatorial constructions for optimal frequency-hopping sequences ⋮ Some block designs associated with quadrics of PG(4,q) and PG(5,q) ⋮ Projective planes and dihedral groups ⋮ Covering arrays from \(m\)-sequences and character sums ⋮ Hyperovals arising from a Singer group action on \(\mathcal{H}(3, q^2)\), \(q\) even ⋮ Unnamed Item ⋮ On the stability of sets of even type ⋮ Partitions of \(\mathrm{AG}(4, 3)\) into maximal caps ⋮ Partitioning projective planes into arcs ⋮ A note on plane pointless curves ⋮ On intriguing sets of finite symplectic spaces ⋮ On \(m\)-ovoids of \({\mathcal W}_3 (q)\) ⋮ Stability of \(k \pmod p\) multisets and small weight codewords of the code generated by the lines of \(\mathrm{PG}(2,q)\) ⋮ Caps on classical varieties and their projections ⋮ Singer line orbits in \(\text{PG} (3,q)\) ⋮ Collineation groups of the intersection of two classical unitals ⋮ Ovoidal fibrations in \(\mathrm{PG}(3,q),q\) even ⋮ Algebraic Codes and Geometry of Some Classical Generalized Polygons ⋮ Arcs and curves over a finite field ⋮ On regular systems of finite classical polar spaces ⋮ Fermat curves over finite fields and cyclic subsets in high-dimensional projective spaces ⋮ Transitive ovoids of the Hermitian surface of PG\((3,q ^{2}\)), \(q\) even ⋮ On Singer action on Hermitian varieties

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