{
  "id": "0906.5023",
  "version": "v1",
  "published": "2009-06-26T23:58:21.000Z",
  "updated": "2009-06-26T23:58:21.000Z",
  "title": "An Upper Bound on the Minimum Weight of Type II $\\ZZ_{2k}$-Codes",
  "authors": [
    "Masaaki Harada",
    "Tsuyoshi Miezaki"
  ],
  "comment": "10 pages, 2 tables",
  "journal": "J. Combin. Theory Ser. A 118 (2010), 190-196",
  "categories": [
    "math.CO",
    "cs.IT",
    "math.IT"
  ],
  "abstract": "In this paper, we give a new upper bound on the minimum Euclidean weight of Type II $\\ZZ_{2k}$-codes and the concept of extremality for the Euclidean weights when $k=3,4,5,6$. Together with the known result, we demonstrate that there is an extremal Type II $\\ZZ_{2k}$-code of length $8m$ $(m \\le 8)$ when $k=3,4,5,6$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-06-26T23:58:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "94B05",
      "11F03"
    ],
    "keywords": [
      "upper bound",
      "minimum weight",
      "minimum euclidean weight",
      "extremal type"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0906.5023H"
    }
  }
}