{
  "id": "1106.5936",
  "version": "v2",
  "published": "2011-06-29T13:42:27.000Z",
  "updated": "2012-01-23T10:41:14.000Z",
  "title": "Singly-even self-dual codes with minimal shadow",
  "authors": [
    "Stefka Bouyuklieva",
    "Wolfgang Willems"
  ],
  "journal": "IEEE Transactions. Inform. Theory, vol. 58, pp. 3856--3860, 2012",
  "doi": "10.1109/TIT.2012.2183114",
  "categories": [
    "math.CO",
    "cs.IT",
    "math.IT"
  ],
  "abstract": "In this note we investigate extremal singly-even self-dual codes with minimal shadow. For particular parameters we prove non-existence of such codes. By a result of Rains \\cite{Rains-asymptotic}, the length of extremal singly-even self-dual codes is bounded. We give explicit bounds in case the shadow is minimal.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-01-23T10:41:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "94B05",
      "11T71"
    ],
    "keywords": [
      "minimal shadow",
      "extremal singly-even self-dual codes",
      "explicit bounds",
      "parameters",
      "non-existence"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1106.5936B"
    }
  }
}