- Mathematical Sciences and Applications E-Notes
- Vol: 7 Issue: 1
- Standard Bases for Linear Codes over Prime Fields
Standard Bases for Linear Codes over Prime Fields
Authors : Jean Jacques Ferdinand Randriamiarampanahy, Harinaivo Andriatahiny, Toussaint Joseph Rabeherimanana
Pages : 94-101
Doi:10.36753/mathenot.559263
View : 6 | Download : 4
Publication Date : 2019-04-30
Article Type : Research
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