ON THE ORDER BOUNDS FOR ONE-POINT AG CODES

dc.creatorGeil, O
dc.creatorMunuera, C
dc.creatorRuano, D
dc.creatorTorres, F
dc.date2011
dc.dateAUG
dc.date2014-07-30T17:53:06Z
dc.date2015-11-26T17:42:23Z
dc.date2014-07-30T17:53:06Z
dc.date2015-11-26T17:42:23Z
dc.date.accessioned2018-03-29T00:24:16Z
dc.date.available2018-03-29T00:24:16Z
dc.identifierAdvances In Mathematics Of Communications. Amer Inst Mathematical Sciences, v. 5, n. 3, n. 489, n. 504, 2011.
dc.identifier1930-5346
dc.identifierWOS:000293643300006
dc.identifier10.3934/amc.2011.5.489
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/68740
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/68740
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1287278
dc.descriptionThe 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.
dc.description5
dc.description3
dc.description489
dc.description504
dc.descriptionDanish National Science Research Council [FNV-21040368]
dc.descriptionDanish FNU [272-07-0266]
dc.descriptionJunta de CyL [VA065A07]
dc.descriptionSpanish Ministry for Science and Technology [MTM-2007-66842-C02-01, MTM 2007-64704]
dc.descriptionAalborg University
dc.descriptionThe Technical University of Denmark
dc.descriptionDanish National Science Research Council [FNV-21040368]
dc.descriptionDanish FNU [272-07-0266]
dc.descriptionJunta de CyL [VA065A07]
dc.descriptionSpanish Ministry for Science and Technology [MTM-2007-66842-C02-01, MTM 2007-64704]
dc.languageen
dc.publisherAmer Inst Mathematical Sciences
dc.publisherSpringfield
dc.publisherEUA
dc.relationAdvances In Mathematics Of Communications
dc.relationAdv. Math. Commun.
dc.rightsaberto
dc.sourceWeb of Science
dc.subjectLinear codes
dc.subjectone-point algebraic geometry codes
dc.subjectminimum distance
dc.subjectWeierstrass semigroup
dc.subjectorder bound
dc.subjectAlgebraic Geometric Codes
dc.subjectGoppa Codes
dc.titleON THE ORDER BOUNDS FOR ONE-POINT AG CODES
dc.typeArtículos de revistas


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