{
  "id": "1201.0702",
  "version": "v2",
  "published": "2012-01-03T17:15:59.000Z",
  "updated": "2012-04-02T02:44:22.000Z",
  "title": "Constructions of Strongly Regular Cayley Graphs Using Index Four Gauss Sums",
  "authors": [
    "Gennian Ge",
    "Qing Xiang",
    "Tao Yuan"
  ],
  "comment": "19 pages; to appear in Journal of Algebraic Combinatorics",
  "categories": [
    "math.CO"
  ],
  "abstract": "We give a construction of strongly regular Cayley graphs on finite fields $\\F_q$ by using union of cyclotomic classes and index 4 Gauss sums. In particular, we obtain two infinite families of strongly regular graphs with new parameters.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-04-02T02:44:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E30"
    ],
    "keywords": [
      "strongly regular cayley graphs",
      "gauss sums",
      "construction",
      "cyclotomic classes",
      "finite fields"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1201.0702G"
    }
  }
}