Evaluation codes defined by finite families of plane valuations at infinity
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Título
Evaluation codes defined by finite families of plane valuations at infinityFecha de publicación
2012-08Editor
Springer USISSN
0925-1022; 1573-7586Cita bibliográfica
Designs, Codes and Cryptography. 2012 AugustTipo de documento
info:eu-repo/semantics/articleVersión de la editorial
http://link.springer.com/article/10.1007/s10623-012-9738-7Versión
info:eu-repo/semantics/sumittedVersionPalabras clave / Materias
Resumen
We construct evaluation codes given by weight functions defined over polynomial rings in m ≥ 2 indeterminates. These weight functions are determined by sets of m−1 weight functions over polynomial rings in two indet ... [+]
We construct evaluation codes given by weight functions defined over polynomial rings in m ≥ 2 indeterminates. These weight functions are determined by sets of m−1 weight functions over polynomial rings in two indeterminates defined by plane valuations at infinity. Well-suited families in totally ordered commutative groups are an important tool in our procedure. [-]
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