{
  "id": "1201.5994",
  "version": "v1",
  "published": "2012-01-28T20:40:10.000Z",
  "updated": "2012-01-28T20:40:10.000Z",
  "title": "On sets of vectors of a finite vector space in which every subset of basis size is a basis II",
  "authors": [
    "Simeon Ball",
    "Jan De Beule"
  ],
  "comment": "13 pp",
  "categories": [
    "math.CO"
  ],
  "abstract": "This article contains a proof of the MDS conjecture for $k \\leq 2p-2$. That is, that if $S$ is a set of vectors of ${\\mathbb F}_q^k$ in which every subset of $S$ of size $k$ is a basis, where $q=p^h$, $p$ is prime and $q$ is not and $k \\leq 2p-2$, then $|S| \\leq q+1$. It also contains a short proof of the same fact for $k\\leq p$, for all $q$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-01-28T20:40:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite vector space",
      "basis size",
      "article contains",
      "short proof",
      "mds conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}