{
  "id": "1809.07553",
  "version": "v1",
  "published": "2018-09-20T10:17:06.000Z",
  "updated": "2018-09-20T10:17:06.000Z",
  "title": "On tight $4$-designs in Hamming association schemes",
  "authors": [
    "Alexander Gavrilyuk",
    "Sho Suda",
    "Janoš Vidali"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "We use triple intersection numbers of association schemes to show non-existence of tight $4$-designs in Hamming association schemes $H(n,6)$. Combining with a result by Noda (1979), this completes the classification of tight $4$-designs in $H(n,q)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-20T10:17:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E30",
      "05B15"
    ],
    "keywords": [
      "hamming association schemes",
      "triple intersection numbers",
      "non-existence",
      "classification"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}