{
  "id": "1509.03731",
  "version": "v1",
  "published": "2015-09-12T11:58:50.000Z",
  "updated": "2015-09-12T11:58:50.000Z",
  "title": "On the classification of self-dual [20,10,9] codes over GF(7)",
  "authors": [
    "Masaaki Harada",
    "Akihiro Munemasa"
  ],
  "comment": "11 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "It is shown that there is a unique self-dual [20,10,9] code C over GF(7) such that the lattice obtained from C by Construction A is isomorphic to the 20-dimensional unimodular lattice D_{20}^+, up to equivalence. This is done by converting the classification of such self-dual codes to that of skew-Hadamard matrices of order 20.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-12T11:58:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "94B05"
    ],
    "keywords": [
      "classification",
      "unique self-dual",
      "unimodular lattice",
      "self-dual codes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}