Cameron-Liebler line classes in \(PG(n,4)\)

DOI10.1007/s10623-013-9838-zzbMath1305.51008OpenAlexW2786825860MaRDI QIDQ404949

Alexander L. Gavrilyuk, Ivan Yu. Mogilnykh

Publication date: 4 September 2014

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

Full work available at URL: https://doi.org/10.1007/s10623-013-9838-z

zbMATH Keywords

completely regular codeGrassmann graphCameron-Liebler line class

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Combinatorial aspects of finite geometries (05B25) Combinatorial structures in finite projective spaces (51E20)

Related Items (15)

Boolean degree 1 functions on some classical association schemes ⋮ Completely regular codes in Johnson and Grassmann graphs with small covering radii ⋮ An improved bound on the existence of Cameron-Liebler line classes ⋮ A modular equality for Cameron-Liebler line classes ⋮ Cameron–Liebler sets for maximal totally isotropic flats in classical affine spaces ⋮ A modular equality for m$m$‐ovoids of elliptic quadrics ⋮ Derivation of Cameron-Liebler line classes ⋮ On tight sets of hyperbolic quadrics ⋮ The Cameron-Liebler problem for sets ⋮ On the smallest non-trivial tight sets in Hermitian polar spaces ⋮ Cameron-Liebler sets of \(k\)-spaces in \(\mathrm{PG}(n,q)\) ⋮ Cameron-Liebler sets in bilinear forms graphs ⋮ Cameron-Liebler sets of generators in finite classical polar spaces ⋮ Cameron-Liebler line classes with parameter \(x = \frac{q^2 - 1}{2}\) ⋮ Cameron-Liebler \(k\)-sets in subspaces and non-existence conditions

Cites Work

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• Cameron-Liebler line classes in PG(3,q)
• The construction of Cameron-Liebler line classes in \(PG(3,q)\)
• On a conjecture of Cameron and Liebler
• Tactical decompositions and orbits of projective groups
• Cameron-Liebler line classes
• Cameron-Liebler line classes in \(\mathrm{PG}(3,4)\)
• The non-existence of Cameron–Liebler line classes with parameter 2 <x≤q
• Overgroups of Cyclic Sylow Subgroups of Linear Groups
• A non-existence result on Cameron–Liebler line classes
• Completely regular designs
• On Cameron--Liebler line classes
• On Perfect 2‐Colorings of Johnson Graphs J(v, 3)

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