{
  "id": "0809.0733",
  "version": "v2",
  "published": "2008-09-04T02:17:12.000Z",
  "updated": "2009-03-06T07:37:52.000Z",
  "title": "There exists no self-dual [24,12,10] code over F5",
  "authors": [
    "Masaaki Harada",
    "Akihiro Munemasa"
  ],
  "comment": "To appear in Designs, Codes and Cryptogr",
  "journal": "Designs, Codes and Cryptogr. 52 (2009), 125-127",
  "categories": [
    "math.CO",
    "cs.IT",
    "math.IT"
  ],
  "abstract": "Self-dual codes over F5 exist for all even lengths. The smallest length for which the largest minimum weight among self-dual codes has not been determined is 24, and the largest minimum weight is either 9 or 10. In this note, we show that there exists no self-dual [24,12,10] code over F5, using the classification of 24-dimensional odd unimodular lattices due to Borcherds.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-03-06T07:37:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "94B05"
    ],
    "keywords": [
      "largest minimum weight",
      "self-dual codes",
      "odd unimodular lattices",
      "smallest length",
      "classification"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0809.0733H"
    }
  }
}