New metrics on linear codes over Fq [u]/(ut)

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Pontificia Universidad Católica del Perú

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Acceso al texto completo solo para la Comunidad PUCP

Abstract

We define new metrics for linear codes over the ring Fq[u]/(ut) via an Fq-module monomorphism on linear codes over Fq. The construction generalizes the Gray map, Gray weight, and Lee weight; and the technique allows us to find some new optimal linear codes and their weight enumerator polynomial.

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Linear Codes, Gray Map, Codes Over Rings

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Except where otherwised noted, this item's license is described as info:eu-repo/semantics/openAccess