{
  "id": "1104.3925",
  "version": "v1",
  "published": "2011-04-20T02:27:00.000Z",
  "updated": "2011-04-20T02:27:00.000Z",
  "title": "On the Residue Codes of Extremal Type II Z4-Codes of Lengths 32 and 40",
  "authors": [
    "Masaaki Harada"
  ],
  "comment": "19 pages",
  "journal": "Discrete Math. 311 (2011), 2148-2157",
  "categories": [
    "math.CO",
    "cs.IT",
    "math.IT"
  ],
  "abstract": "In this paper, we determine the dimensions of the residue codes of extremal Type II Z4-codes for lengths 32 and 40. We demonstrate that every binary doubly even self-dual code of length 32 can be realized as the residue code of some extremal Type II Z4-code. It is also shown that there is a unique extremal Type II Z4-code of length 32 whose residue code has the smallest dimension 6 up to equivalence. As a consequence, many new extremal Type II Z4-codes of lengths 32 and 40 are constructed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-04-20T02:27:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "residue code",
      "unique extremal type",
      "self-dual code",
      "smallest dimension",
      "demonstrate"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1104.3925H"
    }
  }
}