A study of intersections of quadrics having applications on the small weight codewords of the functional codes \(C_2(Q)\), \(Q\) a non-singular quadric

DOI10.1016/j.jpaa.2009.12.017zbMath1186.94483OpenAlexW2069892528MaRDI QIDQ964530

François Rodier, Anja Hallez, Frédéric A. B. Edoukou, Storme, L.

Publication date: 22 April 2010

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2009.12.017

Mathematics Subject Classification ID

Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Combinatorial aspects of finite geometries (05B25) Polar geometry, symplectic spaces, orthogonal spaces (51A50)

Related Items (9)

The small weight codewords of the functional codes associated to non-singular Hermitian varieties ⋮ Intersections of the Hermitian surface with irreducible quadrics in \(\mathrm{PG}(3,q^2)\), \(q\) odd ⋮ Functional codes arising from quadric intersections with Hermitian varieties ⋮ Galois geometries and coding theory ⋮ On the functional codes defined by quadrics and Hermitian varieties ⋮ Codes and caps from orthogonal Grassmannians ⋮ Curves in a hyperbolic quadric surface with a large number of \({\mathbb{F}_{q}}\)-points ⋮ On the functional codes arising from the intersections of algebraic hypersurfaces of small degree with a non-singular quadric ⋮ Linear codes from Denniston maximal arcs

Cites Work

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• LDPC Codes From Generalized Polygons
• Codes Defined by Forms of Degree $2$ on Quadric Surfaces
• Small weight codewords in the LDPC codes arising from linear representations of geometries
• On a Theorem of Ax

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