On a set of lines of \(PG(3,q)\) corresponding to a maximal cap contained in the Klein quadric of \(PG(5,q)\).

DOI10.1007/BF00183019zbMath0645.51012MaRDI QIDQ1103190

David G. Glynn

Publication date: 1988

Published in: Geometriae Dedicata (Search for Journal in Brave)

zbMATH Keywords

Singer cycleKlein quadriccaps in quadricsk-cap

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25) Combinatorial structures in finite projective spaces (51E20)

Related Items (19)

On cutting blocking sets and their codes ⋮ External flats to varieties in symmetric product spaces over finite fields. ⋮ The geometry of elation groups of a finite projective space ⋮ Unnamed Item ⋮ Types of spreads and duality of the parallelisms of \(\mathrm{PG}(3,5)\) with automorphisms of order 13 ⋮ On the intersection of ovoids sharing a polarity ⋮ Bounds for flag codes ⋮ On collineation groups of finite projective spaces containing a Singer cycle ⋮ Caps on classical varieties and their projections ⋮ Singer line orbits in \(\text{PG} (3,q)\) ⋮ Ovoidal fibrations in \(\mathrm{PG}(3,q),q\) even ⋮ Construction of caps by means of caps in complementary subspaces ⋮ Algebraic Codes and Geometry of Some Classical Generalized Polygons ⋮ On cyclic caps in 4-dimensional projective spaces ⋮ LDPC codes from Singer cycles ⋮ Threefolds of the Klein quadric and trisecant lines ⋮ On the largest caps contained in the Klein quadric of \(PG(5,q)\), \(q\) odd ⋮ Tactical decompositions of Steiner systems and orbits of projective groups ⋮ On a Construction of Caps

Cites Work

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• Le geometrie di Galois
• On finite division algebras
• Intersections in projective space. II: Pencils of quadrics
• Caps and codes
• On Line k-Sets of Type (0,n) with Respect to Pencils of Lines in PG(d,q)

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