{
  "id": "1707.08487",
  "version": "v1",
  "published": "2017-07-26T15:16:57.000Z",
  "updated": "2017-07-26T15:16:57.000Z",
  "title": "A new family of MRD-codes",
  "authors": [
    "Bence Csajbók",
    "Giuseppe Marino",
    "Olga Polverino",
    "Corrado Zanella"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "We introduce a family of linear sets of $\\mathrm{PG}(1,q^{2n})$ arising from maximum scattered linear sets of pseudoregulus type of $\\mathrm{PG}(3,q^{n})$. For $n=3,4$ and for certain values of the parameters we show that these linear sets of $\\mathrm{PG}(1,q^{2n})$ are maximum scattered and they yield new MRD-codes with parameters $(6,6,q;5)$ for $q>2$ and with parameters $(8,8,q;7)$ for $q$ odd.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-07-26T15:16:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "51E20",
      "05B25",
      "51E22"
    ],
    "keywords": [
      "parameters",
      "maximum scattered linear sets",
      "pseudoregulus type"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}