Demimatroids have a Hamming polynomial equivalent to their Tutte polynomial and determined by Betti numbers; the framework extends deletion, duality, and coding invariants to combinatroids.
Jurrius, Classifying polynomials of linear codes, Master Thesis (2008), Mathematisch Instituut, Universiteit Leiden
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Hamming Polynomial of a Demimatroid
Demimatroids have a Hamming polynomial equivalent to their Tutte polynomial and determined by Betti numbers; the framework extends deletion, duality, and coding invariants to combinatroids.