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math.CO2005★ 4 cited
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…
math.CO2005
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…
math.CO2001
Properties of Commutative Association Schemes derived by FGLM Techniques
Edgar Martinez-Moro
Association schemes are combinatorial objects that allow us solve problems in several branches of mathematics. They have been used in the study of permutation groups and graphs and…