Relinde Jurrius, Ruud Pellikaan
Published 2016-10-28Version 1
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.
On a q-analogue of the Zeta polynomial of posets
A q-analogue of delta-matroids and related concepts
A q-analogue of a formula of Hernandez obtained by inverting a result of Dilcher
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