{
  "id": "0910.4628",
  "version": "v1",
  "published": "2009-10-24T07:19:44.000Z",
  "updated": "2009-10-24T07:19:44.000Z",
  "title": "On spherical designs obtained from $Q$-polynomial association schemes",
  "authors": [
    "Sho Suda"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "We characterize that the image of the embedding of the $Q$-polynomial association scheme into eigenspace by primitive idempotent $E_1$ is a spherical $t$-design in terms of the Krein numbers. And we show that the strengths of $P$- and $Q$-polynomial schemes as spherical designs are bounded by constant.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-10-24T07:19:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E30"
    ],
    "keywords": [
      "polynomial association scheme",
      "spherical designs",
      "krein numbers",
      "polynomial schemes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0910.4628S"
    }
  }
}