A characterization of the family of secant lines to a hyperbolic quadric in \(\mathrm{PG}(3,q)\), \(q\) odd. II

DOI10.1016/J.DISC.2022.113251OpenAlexW4309193091WikidataQ115577217 ScholiaQ115577217MaRDI QIDQ2111911

Bikramaditya Sahu, Puspendu Pradhan, Bart De Bruyn, Binod Kumar Sahoo

Publication date: 17 January 2023

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

Full work available at URL: https://doi.org/10.1016/j.disc.2022.113251

zbMATH Keywords

Klein quadrichyperbolic quadricquadratic setsecant lineline sets in projective spaces

Mathematics Subject Classification ID

Combinatorial structures in finite projective spaces (51E20) Designs and configurations (05Bxx) Linear incidence geometry (51Axx)

Uses Software

• GAP
• SageMath

Cites Work

• Unnamed Item
• On generalized hexagons of order \((3, t)\) and \((4, t)\) containing a subhexagon
• Combinatorial designs and the theorem of Weil on multiplicative character sums
• A characterization of the family of secant lines to a hyperbolic quadric in \(\mathrm{PG} ( 3 , q )\), \(q\) odd
• A characterization of the sets of internal and external points of a conic
• Quadratic sets on the Klein quadric
• Linear Algebra and Geometry
• A characterization of flat spaces in a finite geometry and the uniqueness of the hamming and the MacDonald codes
• Ovals In a Finite Projective Plane

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