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Evaluation codes defined by finite families of plane valuations at infinity

Designs, Codes, and Cryptography (2014) 70(1-2) 189-213
DOI: 10.1007/s10623-012-9738-7
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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. © 2012 Springer Science+Business Media, LLC.

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Galindo, C., & Monserrat, F. (2014). Evaluation codes defined by finite families of plane valuations at infinity. In Designs, Codes, and Cryptography (Vol. 70, pp. 189–213). Kluwer Academic Publishers. https://doi.org/10.1007/s10623-012-9738-7

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