Existence and non-existence of \(m\)-systems of polar spaces

DOI10.1006/eujc.2000.0417zbMath0973.51004OpenAlexW2053608075MaRDI QIDQ1840827

Nicholas Hamilton, Rudolf A. Mathon

Publication date: 11 November 2001

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/eujc.2000.0417

zbMATH Keywords

polar spaces\(m\)-systems

Mathematics Subject Classification ID

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

Related Items (6)

Tight sets and \(m\)-ovoids of finite polar spaces ⋮ Tight sets of points in the half-spin geometry related to \(Q^{+}(9, q)\) ⋮ Open problems in finite projective spaces ⋮ A classification of transitive ovoids, spreads, and m-systems of polar spaces ⋮ New maximal arcs in Desarguesian planes ⋮ Derivation of \(m\)-systems

Cites Work

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• Strongly regular graphs defined by spreads
• \(m\)-systems and partial \(m\)-systems of polar spaces
• Polar spaces, generalized hexagons and perfect codes
• Construction of maximal arcs and dual ovals in translation planes
• Ovoids and spreads of finite classical polar spaces
• Partitions and their stabilizers for line complexes and quadrics
• \(m\)-systems of polar spaces
• A characterisation of Thas maximal arcs in translation planes of square order
• \(m\)-systems of polar spaces and maximal arcs in projective planes
• The Geometry of Two-Weight Codes
• Spreads, Translation Planes and Kerdock Sets. I

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