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Defining the q-analogue of a matroid

By RPMJ Relinde Jurrius and GR Ruud Pellikaan

Abstract

\u3cp\u3eThis 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.\u3c/p\u3

Publisher: 'The Electronic Journal of Combinatorics'
Year: 2018
OAI identifier: oai:library.tue.nl:902304
Provided by: Repository TU/e
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