{
  "id": "2002.10942",
  "version": "v1",
  "published": "2020-02-22T01:31:59.000Z",
  "updated": "2020-02-22T01:31:59.000Z",
  "title": "An upper bound of the value of t of the support t-designs of extremal Type III and IV codes",
  "authors": [
    "Tsuyoshi Miezaki",
    "Hiroyuki Nakasora"
  ],
  "comment": "27 pages. arXiv admin note: text overlap with arXiv:1311.2122",
  "categories": [
    "math.CO"
  ],
  "abstract": "Let C be an extremal Type III or IV code and D_{w} be the support design of C for a weight w. We introduce the two numbers \\delta(C) and s(C): \\delta(C) is the largest integer t such that, for all wight, D_{w} is a t-design; s(C) denotes the largest integer t such that there exists a w such that D_{w} is a t-design. In the present paper, we consider the possible values of \\delta(C) and s(C).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-22T01:31:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "94B05",
      "05B05"
    ],
    "keywords": [
      "extremal type",
      "support t-designs",
      "upper bound",
      "largest integer",
      "support design"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}