{
  "id": "1706.10255",
  "version": "v1",
  "published": "2017-06-30T16:03:48.000Z",
  "updated": "2017-06-30T16:03:48.000Z",
  "title": "Line Hermitian Grassmann Codes and their Parameters",
  "authors": [
    "Ilaria Cardinali",
    "Luca Giuzzi"
  ],
  "comment": "27 pages",
  "categories": [
    "math.CO",
    "cs.IT",
    "math.IT"
  ],
  "abstract": "In this paper we introduce and study line Hermitian Grassmann codes as those subcodes of the Grassmann codes associated to the $2$-Grassmannian of a Hermitian polar space defined over a finite field of square order. In particular, we determine their parameters and characterize the words of minimum weight.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-30T16:03:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M15",
      "94B27",
      "94B05"
    ],
    "keywords": [
      "study line hermitian grassmann codes",
      "parameters",
      "hermitian polar space",
      "minimum weight",
      "finite field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}