3 papers
math.CO2022
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.
math.AC2019
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…
math.AC2019
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…