Codes Defined by Forms of Degree $2$ on Quadric Surfaces
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Publication:3604701
DOI10.1109/TIT.2007.913450zbMath1311.94117arXivmath/0511679OpenAlexW2136862881MaRDI QIDQ3604701
Publication date: 24 February 2009
Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0511679
Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Applications to coding theory and cryptography of arithmetic geometry (14G50)
Related Items (11)
Toward good families of codes from towers of surfaces ⋮ The small weight codewords of the functional codes associated to non-singular Hermitian varieties ⋮ Evaluation codes from smooth quadric surfaces and twisted Segre varieties ⋮ Construction of rational surfaces yielding good codes ⋮ Differential approach for the study of duals of algebraic-geometric codes on surfaces ⋮ Curves in a hyperbolic quadric surface with a large number of \({\mathbb{F}_{q}}\)-points ⋮ Anticanonical codes from del Pezzo surfaces with Picard rank one ⋮ Higher weight spectra of codes from Veronese threefolds ⋮ 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 ⋮ Sums of residues on algebraic surfaces and application to coding theory ⋮ Algebraic Codes and Geometry of Some Classical Generalized Polygons
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