The pseudo-hyperplanes and homogeneous pseudo-embeddings of \(\mathrm{AG}(n, 4)\) and \(\mathrm{PG}(n, 4)\)

DOI10.1007/S10623-011-9577-YzbMath1248.51001OpenAlexW1974548643MaRDI QIDQ438887

Bart De Bruyn

Publication date: 31 July 2012

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-011-9577-y

zbMATH Keywords

projective spaceaffine spacegeneralized quadranglehomogeneous pseudo-embeddingpseudo-hyperplane

Mathematics Subject Classification ID

Generalized quadrangles and generalized polygons in finite geometry (51E12) Combinatorial aspects of finite geometries (05B25) Combinatorial structures in finite projective spaces (51E20) Incidence structures embeddable into projective geometries (51A45)

Related Items (9)

Classification Results for Hyperovals of Generalized Quadrangles ⋮ Pseudo-embeddings and hyperovals of the generalized quadrangle of order \((3, 5)\) ⋮ Construction and characterisation of the varieties of the third row of the Freudenthal-Tits magic square ⋮ The pseudo-hyperplanes and homogeneous pseudo-embeddings of the generalized quadrangles of order \((3,t)\) ⋮ On sets with few intersection numbers in finite projective and affine spaces ⋮ Pseudo-embeddings of the (point, \(k\)-spaces)-geometry of \(\mathrm{PG}(n,2)\) and projective embeddings of \(\mathrm{DW}(2n-1,2)\) ⋮ On four codes with automorphism group \(P\Sigma L(3,4)\) and pseudo-embeddings of the large Witt designs ⋮ Veronese representation of projective Hjelmslev planes over some quadratic alternative algebras ⋮ The homogeneous pseudo-embeddings and hyperovals of the generalized quadrangle \(H(3,4)\)

Uses Software

• GAP

Cites Work

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• Finite generalized quadrangles
• Sets of even type in PG(3,4), alias the binary (85,24) projective geometry code
• The pseudo-hyperplanes and homogeneous pseudo-embeddings of the generalized quadrangles of order \((3,t)\)
• Lax Embeddings of Generalized Quadrangles in Finite Projective Spaces
• On Sets with Only Odd Secants in Geometries over GF(4)
• Pseudo-embeddings and pseudo-hyperplanes

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