Improved evaluation codes defined by plane valuations

Authors:
M. Borges-Quintana;M. A. Borges-Trenard;C. Galindo
Affiliations:
Departamento de Matemática, FcMC, Universidad de Oriente, Santiago de Cuba, Cuba;Departamento de Matemática, FcMC, Universidad de Oriente, Santiago de Cuba, Cuba;Departamento de Matemáticas and Instituto Universitario de Matemáticas y Aplicaciones de Castellón (IMAC), Campus de Riu Sec s/n, Universitat Jaume I, 12071 Castellón, Spain
Venue:
Finite Fields and Their Applications
Year:
2010

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Abstract

We study improved evaluation codes associated with finitely generated order structures given by plane valuations. We show minimal sets of generators of the semigroups of these structures and provide parameters for the corresponding improved evaluation codes.