{
  "id": "1812.02080",
  "version": "v1",
  "published": "2018-12-05T16:17:25.000Z",
  "updated": "2018-12-05T16:17:25.000Z",
  "title": "A classification of permutation polynomials of degree $7$ over finite fields",
  "authors": [
    "Xiang Fan"
  ],
  "comment": "13 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Up to linear transformations, we give a classification of all permutation polynomials of degree $7$ over $\\mathbb{F}_{q}$ for any odd prime power $q$, with the help of the SageMath software.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-12-05T16:17:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11T06"
    ],
    "keywords": [
      "permutation polynomials",
      "finite fields",
      "classification",
      "odd prime power",
      "linear transformations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}