{
  "id": "1511.07253",
  "version": "v1",
  "published": "2015-11-23T14:59:21.000Z",
  "updated": "2015-11-23T14:59:21.000Z",
  "title": "New results on maximal partial line spreads in PG(5,q)",
  "authors": [
    "Maurizio Iurlo"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "In this work, we prove the existence of maximal partial line spreads in PG(5,q) of size q^3+q^2+kq+1, with 1 \\leq k \\leq (q^3-q^2)/(q+1), k an integer. Moreover, by a computer search, we do this for larger values of k, for q \\leq 7. Again by a computer search, we find the sizes for the largest maximal partial line spreads and many new results for q \\leq 5.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-23T14:59:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "51E14"
    ],
    "keywords": [
      "largest maximal partial line spreads",
      "computer search",
      "larger values"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151107253I"
    }
  }
}