On sets of odd type of \(\mathrm{PG}(n,4)\) and the universal embedding of the dual polar space \(\mathrm{DH}(2n-1,4)\)

DOI10.1016/J.DISC.2011.04.007zbMath1262.51009OpenAlexW1803866227MaRDI QIDQ658094

Bart De Bruyn

Publication date: 11 January 2012

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2011.04.007

zbMATH Keywords

embeddingprojective spacehyperplanedual polar space

Mathematics Subject Classification ID

Combinatorial structures in finite projective spaces (51E20) Polar geometry, symplectic spaces, orthogonal spaces (51A50)

Related Items (1)

Pseudo-embeddings of the (point, \(k\)-spaces)-geometry of \(\mathrm{PG}(n,2)\) and projective embeddings of \(\mathrm{DW}(2n-1,2)\)

Cites Work

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• Embeddings and hyperplanes of discrete geometries
• The exceptional hyperplanes of \(DH(5,4)\)
• Sets of even type in PG(3,4), alias the binary (85,24) projective geometry code
• On the universal embedding of the \(U_{2n}(2)\) dual polar space
• On Sets with Only Odd Secants in Geometries over GF(4)
• The hyperplanes of DH(5, q 2)
• Sets of Type (1, n, q + 1) in PG(d, q)
• Codes from Veronese and Segre embeddings and Hamada's formula

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