Defining the q-analogue of a matroid

R.P.M.J. Jurrius; G.R. Pellikaan

doi:10.37236/6569

Defining the q-analogue of a matroid

R.P.M.J. Jurrius, G.R. Pellikaan

Research output: Contribution to journal › Article › Academic › peer-review

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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.

Original language	English
Article number	#P3.2
Number of pages	32
Journal	The Electronic Journal of Combinatorics
Volume	25
Issue number	3
DOIs	https://doi.org/10.37236/6569
Publication status	Published - 13 Jul 2018

Keywords

Matroid theory
q-Analogue
Rank metric codes

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http://www.combinatorics.org/ojs/index.php/eljc/article/view/v25i3p2

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Defining the q-analogue of a matroid

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