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