Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/68740
Type: Artigo de periódico
Title: ON THE ORDER BOUNDS FOR ONE-POINT AG CODES
Author: Geil, O
Munuera, C
Ruano, D
Torres, F
Abstract: The order bound for the minimum distance of algebraic geometry codes was originally defined for the duals of one-point codes and later generalized for arbitrary algebraic geometry codes. Another bound of order type for the minimum distance of general linear codes, and for codes from order domains in particular, was given in [1]. Here we investigate in detail the application of that bound to one-point algebraic geometry codes, obtaining a bound d* for the minimum distance of these codes. We establish a connection between d* and the order bound and its generalizations. We also study the improved code constructions based on d*. Finally we extend d* to all generalized Hamming weights.
Subject: Linear codes
one-point algebraic geometry codes
minimum distance
Weierstrass semigroup
order bound
Country: EUA
Editor: Amer Inst Mathematical Sciences
Rights: aberto
Identifier DOI: 10.3934/amc.2011.5.489
Date Issue: 2011
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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