{
  "id": "math/0212139",
  "version": "v1",
  "published": "2002-12-10T10:43:29.000Z",
  "updated": "2002-12-10T10:43:29.000Z",
  "title": "Characterization of SDP Designs That Yield Certain Spin Models",
  "authors": [
    "Carl Bracken",
    "Gary McGuire"
  ],
  "comment": "11 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "We characterize the SDP designs that give rise to four-weight spin models with two values. We prove that the only such designs are the symplectic SDP designs. The proof involves analysis of cardinalities of intersections of four blocks.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-12-10T10:43:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05B05"
    ],
    "keywords": [
      "characterization",
      "symplectic sdp designs",
      "four-weight spin models",
      "cardinalities",
      "intersections"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.....12139B"
    }
  }
}