2 citations · 2 across the 4 of their papers we have counts for
6 papers
Codes parameterized by the edges of a bipartite graph with a perfect matching
Manuel Gonzalez Sarabia, Rafael H. Villarreal
In this paper we study the main characteristics of some evaluation codes parameterized by the edges of a bipartite graph with a perfect matching.
Relative Generalized Minimum Distance Functions
Manuel Gonzalez Sarabia, Miguel E. Uribe-paczka, Eliseo Sarmiento +1
In this paper we introduce the relative generalized minimum distance function (RGMDF for short) and it allows us to give an algebraic approach to the relative generalized Hamming w…
On the generalized Hamming weights of certain Reed-Muller-type codes
Manuel Gonzalez-Sarabia, Delio Jaramillo, Rafael H. Villarreal
There is a nice combinatorial formula of P. Beelen and M. Datta for the -th generalized Hamming weight of an affine cartesian code. Using this combinatorial formula we give an e…
Generalized minimum distance functions
Manuel Gonzalez-Sarabia, Jose Martínez-Bernal, Rafael H. Villarreal +1
Using commutative algebra methods we study the generalized minimum distance function (gmd function) and the corresponding generalized footprint function of a graded ideal in a poly…
The second generalized Hamming weight of some evaluation codes arising from a projective torus
Manuel González Sarabia, Eduardo Camps, Eliseo Sarmiento +1
In this paper we find the second generalized Hamming weight of some evaluation codes arising from a projective torus, and it allows to compute the second generalized Hamming weight…
Projective Parameterized Linear Codes Arising from some Matrices and their Main Parameters
Manuel Gonzalez Sarabia, Carlos Renteria Marquez, Eliseo Sarmiento Rosales
In this paper we will estimate the main parameters of some evaluation codes which are known as projective parameterized codes. We will find the length of these codes and we will gi…