Small maximal partial spreads in classical finite polar spaces

DOI10.1515/ADVGEOM.2010.007zbMath1197.51002OpenAlexW1996000729MaRDI QIDQ3580687

Klaus Metsch, Storme, L., Andreas G. Klein

Publication date: 13 August 2010

Published in: advg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/advgeom.2010.007

zbMATH Keywords

maximal partial spreadslower boundsclassical finite polar spaces

Mathematics Subject Classification ID

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

Related Items (9)

Cyclic subspace codes via subspace polynomials ⋮ A Higman inequality for regular near polygons ⋮ On the dual code of points and generators on the Hermitian variety \(\mathcal{H}(2n+1,q^2)\) ⋮ Small maximal partial \(t\)-spreads in \(\mathrm{PG}(2t+1 , q)\) ⋮ On the maximum size of Erdős-Ko-Rado sets in \(H(2d+1, q^2)\) ⋮ Maximal partial spreads of polar spaces ⋮ Equivalent definitions for (degree one) Cameron-Liebler classes of generators in finite classical polar spaces ⋮ Cameron-Liebler sets of generators in finite classical polar spaces ⋮ On symmetric and Hermitian rank distance codes

Cites Work

• Partial ovoids and partial spreads in symplectic and orthogonal polar spaces
• Partial ovoids and partial spreads in Hermitian polar spaces
• Anzahl theorems in finite singular symplectic, unitary and orthogonal geometries
• Complete systems of lines on a Hermitian surface over a finite field
• On the smallest maximal partial ovoids and spreads of the generalized quadrangles \(W(q)\) and \(Q(4,q)\)

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