Binary codes of the symplectic generalized quadrangle of even order

DOI10.1007/S10623-015-0040-3zbMath1336.51001OpenAlexW2024891816MaRDI QIDQ264137

N. S. Narasimha Sastry, Binod Kumar Sahoo

Publication date: 5 April 2016

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

Full work available at URL: https://doi.org/10.1007/s10623-015-0040-3

zbMATH Keywords

linear codeovoidgeneralized quadrangleblocking set

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Generalized quadrangles and generalized polygons in finite geometry (51E12) Blocking sets, ovals, (k)-arcs (51E21)

Related Items (8)

Blocking sets of tangent and external lines to a hyperbolic quadric in \(\mathrm{PG}(3, q)\) ⋮ Blocking sets of tangent and external lines to a hyperbolic quadric in \(\mathrm{PG}(3,q)\), \(q\) even ⋮ On minimum size blocking sets of the outer tangents to a hyperbolic quadric in \(\operatorname{PG}(3, q)\) ⋮ Blocking sets of external, tangent and secant lines to a quadratic cone in \(\operatorname{PG} ( 3 , q )\) ⋮ Blocking sets of tangent lines to a hyperbolic quadric in \(\mathrm{PG}(3, 3)\) ⋮ Blocking sets of tangent and external lines to an elliptic quadric in \(\mathrm{PG}(3,q)\) ⋮ Blocking sets of certain line sets related to a hyperbolic quadric in \(\mathrm{PG}(3, q)\) ⋮ Minimum size blocking sets of certain line sets with respect to an elliptic quadric in $PG(3,q)$

Cites Work

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• Elliptic ovoids and their rosettes in a classical generalized quadrangle of even order
• On codewords in the dual code of classical generalised quadrangles and classical polar spaces
• Finite generalized quadrangles
• Even order inversive planes, generalized quadrangles and codes
• One-step completely orthogonalizable codes from generalized quadrangles
• Generalized quadrangles of order \((q,q^ 2)\), \(q\) even, containing \(W(q)\) as a subquadrangle
• Algebraic Codes and Geometry of Some Classical Generalized Polygons
• A Class of Strongly Regular Graphs Related to Orthogonal Groups
• A characterization of flat spaces in a finite geometry and the uniqueness of the hamming and the MacDonald codes
• Codes associated with nondegenerate quadrics of a symplectic space of even order

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