{
  "id": "1705.07623",
  "version": "v1",
  "published": "2017-05-22T09:18:03.000Z",
  "updated": "2017-05-22T09:18:03.000Z",
  "title": "Construction of strongly regular Cayley graphs based on three-valued Gauss periods",
  "authors": [
    "Koji Momihara"
  ],
  "comment": "19 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "In this paper, we give a construction of strongly regular Cayley graphs on the additive groups of finite fields based on three-valued Gauss periods. As consequences, we obtain two infinite families and one sporadic example of new strongly regular Cayley graphs. This construction can be viewed as a generalization of that of strongly regular Cayley graphs obtained in \\cite{BLMX}.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-22T09:18:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E30",
      "11T22"
    ],
    "keywords": [
      "strongly regular cayley graphs",
      "three-valued gauss periods",
      "construction",
      "finite fields",
      "infinite families"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}