{
  "id": "0707.1111",
  "version": "v1",
  "published": "2007-07-07T20:18:30.000Z",
  "updated": "2007-07-07T20:18:30.000Z",
  "title": "Some families of permutation polynomials over finite fields",
  "authors": [
    "Michael E. Zieve"
  ],
  "comment": "7 pages",
  "journal": "Int. J. Number Theory 4 (2008), 851-857",
  "categories": [
    "math.NT"
  ],
  "abstract": "We give necessary and sufficient conditions for a polynomial of the form x^r*(1+x^v+x^(2v)+...+x^(kv))^t to permute the elements of the finite field GF(q). Our results yield especially simple criteria in case (q-1)/gcd(q-1,v) is a small prime.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-07-07T20:18:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11T06"
    ],
    "keywords": [
      "permutation polynomials",
      "finite field gf",
      "sufficient conditions",
      "results yield",
      "simple criteria"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0707.1111Z"
    }
  }
}