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 | |
| Publication status | Published - 13 Jul 2018 |
Keywords
- Matroid theory
- q-Analogue
- Rank metric codes
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Cite this
Jurrius, R. P. M. J., & Pellikaan, G. R. (2018). Defining the q-analogue of a matroid. The Electronic Journal of Combinatorics, 25(3), [#P3.2]. https://doi.org/10.37236/6569