{
  "id": "1010.4107",
  "version": "v3",
  "published": "2010-10-20T06:12:20.000Z",
  "updated": "2011-10-29T20:38:56.000Z",
  "title": "Strongly Regular Graphs From Unions of Cyclotomic Classes",
  "authors": [
    "Tao Feng",
    "Qing Xiang"
  ],
  "comment": "17 pages; to appear in J. Combin. Theory (B)",
  "categories": [
    "math.CO"
  ],
  "abstract": "We give two constructions of strongly regular Cayley graphs on finite fields $\\F_q$ by using union of cyclotomic classes and index 2 Gauss sums. In particular, we obtain twelve infinite families of strongly regular graphs with new parameters.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-10-29T20:38:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E30"
    ],
    "keywords": [
      "strongly regular graphs",
      "cyclotomic classes",
      "strongly regular cayley graphs",
      "finite fields",
      "gauss sums"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1010.4107F"
    }
  }
}