Defining the q-analogue of a matroid

Published 28 Oct 2016 in math.CO and cs.DM | (1610.09250v1)

Abstract: This paper defines the q-analogue of a matroid and establishes several properties like duality, restriction and contraction. We discuss possible ways to define a q-matroid, and why they are (not) cryptomorphic. Also, we explain the motivation for studying q-matroids by showing that a rank metric code gives a q-matroid.

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