Delsarte duality on subspaces and applications to rank-metric codes and q-matroids

Martino Borello, Olga Polverino, Ferdinando Zullo

We study the interplay between the lattice of F_{q^m}-subspaces and the lattice of F_{q^m}-subspaces of an F_{q^m}-vector space. Introducing notions of weight and defect relative t…