{
  "id": "2305.03521",
  "version": "v1",
  "published": "2023-05-05T13:26:09.000Z",
  "updated": "2023-05-05T13:26:09.000Z",
  "title": "A Construction of Permutation Polynomials Using Rédei Function in Even Characteristic",
  "authors": [
    "Daniel Panario",
    "Nihal Uyar",
    "Qiang Wang"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "The R\\'{e}dei function defined over a field of even characteristic has been introduced by N\\\"{o}bauer in 1986 \\cite{even}. In this paper, inspired by the work of Fu et al. \\cite{wang} in odd characteristic, employing the AGW criterion \\cite{agw}, we present a recursive construction of permutation polynomials in even characteristic using the R\\'{e}dei function over a field of characteristic 2.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-05-05T13:26:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11T06"
    ],
    "keywords": [
      "permutation polynomials",
      "rédei function",
      "odd characteristic",
      "agw criterion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}