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3 papers
Hamming Polynomial of a Demimatroid
Jose Martinez-Bernal, Miguel A. Valencia-Bucio, Rafael H. Villarreal
Following Britz, Johnsen, Mayhew and Shiromoto, we consider demi\-ma\-troids as a(nother) natural generalization of matroids. As they have shown, demi\-ma\-troids are the appropria…
Linear codes over signed graphs
Jose Martinez-Bernal, Miguel A. Valencia, Rafael H. Villarreal
We give formulas, in terms of graph theoretical invariants, for the minimum distance and the generalized Hamming weights of the linear code generated by the rows of the incidence m…
Generalized Hamming weights of projective Reed--Muller-type codes over graphs
Jose Martinez-Bernal, Miguel A. Valencia-Bucio, Rafael H. Villarreal
Let be a connected graph and let be the set of projective points defined by the column vectors of the incidence matrix of over a field of any characteristi…