{
  "id": "2305.03285",
  "version": "v1",
  "published": "2023-05-05T04:59:18.000Z",
  "updated": "2023-05-05T04:59:18.000Z",
  "title": "Exceptional designs in some extended quadratic residue codes",
  "authors": [
    "Reina Ishikawa"
  ],
  "comment": "15 pages",
  "categories": [
    "math.CO",
    "cs.IT",
    "math.GR",
    "math.IT",
    "math.NT"
  ],
  "abstract": "In the present paper, we give proofs of the existence of a 3-design in the extended ternary quadratic residue code of length 14 and the extended quaternary quadratic residue code of length 18.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-05-05T04:59:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "94B05",
      "05B05"
    ],
    "keywords": [
      "extended quadratic residue codes",
      "exceptional designs",
      "extended ternary quadratic residue code",
      "extended quaternary quadratic residue code"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}