{
  "id": "1610.09250",
  "version": "v1",
  "published": "2016-10-28T14:57:33.000Z",
  "updated": "2016-10-28T14:57:33.000Z",
  "title": "Defining the q-analogue of a matroid",
  "authors": [
    "Relinde Jurrius",
    "Ruud Pellikaan"
  ],
  "comment": "35 pages",
  "categories": [
    "math.CO",
    "cs.DM"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-28T14:57:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05B35",
      "94B99"
    ],
    "keywords": [
      "q-analogue",
      "rank metric code",
      "paper defines",
      "studying q-matroids",
      "contraction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}