Defining the q-analogue of a matroid

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

Research output: Contribution to journalArticleAcademicpeer-review

4 Citations (Scopus)
20 Downloads (Pure)

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 languageEnglish
Article number#P3.2
Number of pages32
JournalThe Electronic Journal of Combinatorics
Volume25
Issue number3
DOIs
Publication statusPublished - 13 Jul 2018

Keywords

  • Matroid theory
  • q-Analogue
  • Rank metric codes

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