{
  "id": "0906.0195",
  "version": "v2",
  "published": "2009-06-01T01:48:18.000Z",
  "updated": "2010-04-28T16:14:15.000Z",
  "title": "New upper bound for the cardinalities of $s$-distance sets on the unit sphere",
  "authors": [
    "Hiroshi Nozaki"
  ],
  "comment": "5 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "We have the Fisher type inequality and the linear programming bound as upper bounds for the cardinalities of $s$-distance sets on $S^{d-1}$. In this paper, we give a new upper bound for the cardinalities of $s$-distance sets on $S^{d-1}$ for any $s$. This upper bound improves the Fisher typer inequality and is useful for $s$-distance sets which are not applicable to the linear programming bound.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-04-28T16:14:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52C10"
    ],
    "keywords": [
      "upper bound",
      "distance sets",
      "unit sphere",
      "cardinalities",
      "linear programming bound"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0906.0195N"
    }
  }
}