{
  "id": "1002.2796",
  "version": "v1",
  "published": "2010-02-14T20:44:14.000Z",
  "updated": "2010-02-14T20:44:14.000Z",
  "title": "Permutation Polynomials of Degree 6 or 7 over Finite Fields of Characteristic 2",
  "authors": [
    "Jiyou Li",
    "David B. Chandler",
    "Qing Xiang"
  ],
  "comment": "16 pages. Submitted",
  "categories": [
    "math.CO",
    "math.NT"
  ],
  "abstract": "In \\cite{D1}, Dickson listed all permutation polynomials up to degree 5 over an arbitrary finite field, and all permutation polynomials of degree 6 over finite fields of odd characteristic. The classification of degree 6 permutation polynomials over finite fields of characteristic 2 was left incomplete. In this paper we complete the classification of permutation polynomials of degree 6 over finite fields of characteristic 2. In addition, all permutation polynomials of degree 7 over finite fields of characteristic 2 are classified.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-02-14T20:44:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11T06"
    ],
    "keywords": [
      "permutation polynomials",
      "arbitrary finite field",
      "classification",
      "odd characteristic",
      "left incomplete"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1002.2796L"
    }
  }
}