Incidence matrices for the class \({\mathcal{O}}_6\) of lines external to the twisted cubic in \(\mathrm{PG}(3,q)\)

DOI10.1007/s00022-023-00678-2zbMath1525.51005arXiv2210.12821MaRDI QIDQ6115813

Fernanda Pambianco, Alexander A. Davydov, Stefano Marcugini

Publication date: 10 August 2023

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.12821

zbMATH Keywords

incidence matrixprojective spacetwisted cubicline class \({\mathcal{O}}_6\)

Mathematics Subject Classification ID

Linear codes and caps in Galois spaces (51E22) Combinatorial aspects of finite geometries (05B25) Blocking sets, ovals, (k)-arcs (51E21) Combinatorial structures in finite projective spaces (51E20) Group actions on combinatorial structures (05E18)

Cites Work

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• Über ein Problem von K. Zarankiewicz
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• On Collections of Subsets Containing No 4-Member Boolean Algebra
• Orbits of lines for a twisted cubic in \(\mathrm{PG}(3, q)\)
• Orbits of the class \(\mathcal{O}_6\) of lines external to the twisted cubic in \(\mathrm{PG}(3, q)\)
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