Standard Bases for Linear Codes over Prime Fields

Authors : Jean Jacques Ferdinand RANDRİAMİARAMPANAHY, Harinaivo ANDRİATAHİNY, Toussaint Joseph RABEHERİMANANA

Pages : 94-101

Doi:10.36753/mathenot.559263

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Publication Date : 2019-04-30

Article Type : Research Paper

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 the linear codes over prime fields.
Keywords : Linear code, semigroup order, Groebner basis, local ring, standard basis

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