On the functional codes arising from the intersections of algebraic hypersurfaces of small degree with a non-singular quadric

DOI10.3934/amc.2014.8.271zbMath1303.14037OpenAlexW2000823462MaRDI QIDQ476350

Daniele Bartoli, Storme, L.

Publication date: 28 November 2014

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/amc.2014.8.271

zbMATH Keywords

quadricsalgebraic varietiesintersectionssmall weight codewordsfunctional codes

Mathematics Subject Classification ID

Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Combinatorial aspects of finite geometries (05B25) Other types of codes (94B60) Combinatorial structures in finite projective spaces (51E20) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (2)

Galois geometries and coding theory ⋮ Linear codes from Denniston maximal arcs

Cites Work

• Unnamed Item
• Functional codes arising from quadric intersections with Hermitian varieties
• 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
• On the functional codes defined by quadrics and Hermitian varieties
• Improved explicit estimates on the number of solutions of equations over a finite field
• The small weight codewords of the functional codes associated to non-singular Hermitian varieties
• General Galois Geometries

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