7 citations · 17 across the 22 of their papers we have counts for
4 papers · 1 filter
A general framework for applying FGLM techniques to linear codes
M. Borges-Quintana, M. A. Borges-Trenard, E. Martinez-Moro
We show herein that a pattern based on FGLM techniques can be used for computing Gröbner bases, or related structures, associated to linear codes. This Gröbner bases setting turns…
Groebner bases and combinatorics for binary codes
M. Borges-Quintana, M. A. Borges-Trenard, P. Fitzpatrick +1
In this paper we introduce a binomial ideal derived from a binary linear code. We present some applications of a Gröbner basis of this ideal with respect to a total degree ordering…
On a Grobner bases structure associated to linear codes
M. Borges-Quintana, M. Borges-Trenard, E. Martinez-Moro
We present a structure associated to the class of linear codes. The properties of that structure are similar to some structures in the linear algebra techniques into the framework…
Multivariable codes over finite chain rings: semisimple codes
E. Martinez-Moro, I. F. Rua
The structure of multivariate semisimple codes over a finite chain ring is established using the structure of the residue field . Multivariate codes extend in a natural…