{
  "id": "1011.5642",
  "version": "v2",
  "published": "2010-11-25T15:33:41.000Z",
  "updated": "2013-01-22T21:10:45.000Z",
  "title": "A new class of maximal partial spreads in PG(4,q)",
  "authors": [
    "Sandro Rajola",
    "Maurizio Iurlo"
  ],
  "comment": "17 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "In this work we construct a new class of maximal partial spreads in $PG(4,q)$, that we call $q$-added maximal partial spreads. We obtain them by depriving a spread of a hyperplane of some lines and adding $q+1$ lines not of the hyperplane for each removed line. We do this in a theoretic way for every value of $q$, and by a computer search for $q$ an odd prime and $q \\leq 13$. More precisely we prove that for every $q$ there are $q$-added maximal partial spreads from the size $q^2+q+1$ to the size $q^2+(q-1)q+1$, while by a computer search we get larger cardinalities.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-01-22T21:10:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "51E14"
    ],
    "keywords": [
      "added maximal partial spreads",
      "computer search",
      "hyperplane",
      "theoretic way",
      "odd prime"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1011.5642R"
    }
  }
}