Dual toric codes and polytopes of degree one

We define a statistical measure of the typical size of words of low weight in a linear code over a finite field. We prove that the dual toric codes coming from polytopes of degree one are characterized, among all dual toric codes, by being extremal with respect to this measure. We also give a geomet...

Descripción completa

Detalles Bibliográficos
Autores Principales: Umaña V.G., Velasco M.
Formato: Artículo (Article)
Lenguaje:Inglés (English)
Publicado: Society for Industrial and Applied Mathematics Publications 2015
Acceso en línea:https://repository.urosario.edu.co/handle/10336/23299