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Evaluation codes defined by finite families of plane valuations at infinity |
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| Authors: | C Galindo F Monserrat |
| Institution: | 1. Departamento de Matemáticas & Instituto Universitario de Matemáticas y Aplicaciones de Castellón (IMAC), Universitat Jaume I, Campus de Riu Sec, 12071, Castellón, Spain 2. Instituto Universitario de Matemática Pura y Aplicada (IUMPA), Universidad Politécnica de Valencia, Camino de Vera s/n, 46022, Valencia, Spain |
| Abstract: | 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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