On the evaluation codes given by simple d-sequences
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On the evaluation codes given by simple d-sequencesFecha de publicación
2015-08Editor
SpringerCita bibliográfica
Galindo, C., & Pérez-Casales, R. (2016). On the evaluation codes given by simple\ delta-sequences. Applicable Algebra in Engineering, Communication and Computing, 27(1), 59-90.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
http://link.springer.com/article/10.1007/s00200-015-0271-6Versión
info:eu-repo/semantics/acceptedVersionPalabras clave / Materias
Resumen
Plane valuations at infinity are classified in five types. Valuations in one of them determine weight functions which take values on semigroups of Z2. These semigroups are generated by δ-sequences in Z2. We introduce ... [+]
Plane valuations at infinity are classified in five types. Valuations in one of them determine weight functions which take values on semigroups of Z2. These semigroups are generated by δ-sequences in Z2. We introduce simple δ-sequences in Z2 and study the evaluation codes of maximal length that they define. These codes are geometric and come from order domains. We give a bound on their minimum distance which improves the Andersen–Geil one. We also give coset bounds for the involved codes. [-]
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Applicable Algebra in Engineering, Communication and Computing January 2016, Volume 27, Issue 1Derechos de acceso
© Springer Science+Business Media New York 2015
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info:eu-repo/semantics/openAccess
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