6 citations · 7 across the 4 of their papers we have counts for
5 papers
Polynomials with restricted support and maximal zeros on a finite Cartesian set
Dipak K. Bhunia, Eduardo Camps-Moreno, Ignacio GarcÍa-Marco +2
Given a finite Cartesian set and a decreasing set of monomials , we call extremal polynomials for over those that have the maximum numbe…
On robustness and related properties on toric ideals
Christos Tatakis, Ignacio García-Marco
A toric ideal is called robust if its universal Gröbner basis is a minimal set of generators, and is called generalized robust if its universal Gröbner basis equals its universal M…
Free Resolutions and Generalized Hamming Weights of binary linear codes
Ignacio García-Marco, Irene Márquez-Corbella, Edgar Martínez-Moro +1
In this work, we explore the relationship between free resolution of some monomial ideals and Generalized Hamming Weights (GHWs) of binary codes. More precisely, we look for a stru…
Beyond symmetry in generalized Petersen graphs
Ignacio García-Marco, Kolja Knauer
A graph is a core or unretractive if all its endomorphisms are automorphisms. Well-known examples of cores include the Petersen graph and the graph of the dodecahedron -- both gene…
On the generalized Hamming weights of hyperbolic codes
Eduardo Camps-Moreno, Ignacio García-Marco, Hiram H. López +3
A hyperbolic code is an evaluation code that improves a Reed-Muller because the dimension increases while the minimum distance is not penalized. We give the necessary and sufficien…