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Standard Bases for Linear Codes over Prime Fields

2017/08/18 by Randriamiarampanahy, Jean Jacques Ferdinand, Andriatahiny, Harinaivo, Rabeherimanana, Toussaint Joseph
#12E20 #13P10 #94B05 #FOS: Computer and information sciences #Information Theory (cs.IT)

paper · doi:10.48550/arxiv.1708.05490

Abstract

It is known that a linear code can be represented by a binomial ideal. In this paper, we give standard bases for the ideals in a localization of the multivariate polynomial ring in the case of linear codes over prime fields.

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