{
  "id": "1407.6149",
  "version": "v2",
  "published": "2014-07-23T09:24:24.000Z",
  "updated": "2014-09-08T16:03:22.000Z",
  "title": "Line Polar Grassmann Codes of Orthogonal Type",
  "authors": [
    "Ilaria Cardinali",
    "Luca Giuzzi",
    "Antonio Pasini"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "Polar Grassmann codes of orthogonal type have been introduced in I. Cardinali and L. Giuzzi, \\emph{Codes and caps from orthogonal Grassmannians}, {Finite Fields Appl.} {\\bf 24} (2013), 148-169. They are subcodes of the Grassmann code arising from the projective system defined by the Pl\\\"ucker embedding of a polar Grassmannian of orthogonal type. In the present paper we fully determine the minimum distance of line polar Grassmann Codes of orthogonal type for $q$ odd.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-23T09:24:24.000Z",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-09-08T16:03:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "51A50",
      "51E22",
      "51A45"
    ],
    "keywords": [
      "line polar grassmann codes",
      "orthogonal type",
      "finite fields appl",
      "minimum distance",
      "polar grassmannian"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.6149C"
    }
  }
}