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δ-Sequences and Evaluation Codes de ned by Plane Valuations at Infinity

Identificadores del recurso

00246115

http://hdl.handle.net/10234/18553

Procedencia

(Repositori UJI)

Ficha

Título:: δ-Sequences and Evaluation Codes de ned by Plane Valuations at Infinity
Tema:: Informàtica -- Matemàtica
Descripción:: We introduce the concept of δ-sequence. A δ-sequence ∆ generates a well-ordered semigroup S in Z2 or R. We show how to construct (and compute parameters) for the dual code of any evaluation code associated with a weight function defined by ∆ from the polynomial ring in two indeterminates to a semigroup S as above. We prove that this is a simple procedure which can be understood by considering a particular class of valuations of function fields of surfaces, called plane valuations at infinity. We also give algorithms to construct an unlimited number of δ-sequences of the diferent existing types, and so this paper provides the tools to know and use a new large set of codes.
Idioma:: English
Relación:: Proceedings of the London Mathematical Society;0
Autor/Productor:: Galindo, Carlos; Monserrat, Francisco
Editor:: Oxford University Press
Derechos:: http://rightsstatements.org/vocab/CNE/1.0/; info:eu-repo/semantics/openAccess
Fecha:: 2008
Tipo de recurso:: info:eu-repo/semantics/article; info:eu-repo/semantics/publishedVersion; info:eu-repo/semantics/acceptedVersion
Formato:: application/pdf

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