Generalized AG codes and generalized duality
type: Item
instance of: scholarly article
title: Generalized AG codes and generalized duality
zbMATH Open document ID: 1026.94020
DOI: 10.1016/S1071-5797(02)00027-8
author: Gerhard Dorfer
author: Hiren Maharaj
published in: Finite Fields and their Applications
publication date: 2003-05-04T00:00:00Z
review text: The author defines residual generalized AG codes as a dual notion to the generalized functional AG codes of \textit{C. P. Xing, H. Niederreiter}, and \textit{K. Y. Lam} [IEEE Trans. Inf. Theory 45, 2498-2501 (1999; Zbl 0956.94023)]. (Similar results appear in \textit{A. Heydtmann} [Commun. Algebra 30, 2763-2789 (2002; Zbl 1014.94015)] using Weil differentials.) Then the author extends results of \textit{H. Stichtenoth} [J. Pure Appl. Algebra 55, 199-211 (1988; Zbl 0654.94017)] to give criteria for when a generalized AG code is self-orthogonal or self-dual. Finally, many examples are given.
Mathematics Subject Classification ID: 94B27
Mathematics Subject Classification ID: 11T71
Mathematics Subject Classification ID: 94B05
zbMATH DE Number: 1903549
zbMATH Keywords: generalized AG code
zbMATH Keywords: self-dual code
zbMATH Keywords: self-orthogonal code
reviewed by: Robert F. Lax
describes a project that uses: KANT/KASH
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1903549