{
  "id": "1609.07162",
  "version": "v1",
  "published": "2016-09-22T20:57:24.000Z",
  "updated": "2016-09-22T20:57:24.000Z",
  "title": "A Note on Permutation Binomials and Trinomials over Finite Fields",
  "authors": [
    "Neranga Fernando"
  ],
  "comment": "4 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let $p$ be a prime and $e$ be a positive integer. We completely explain the permutation binomials and trinomials arising from the reversed Dickson polynomials of the $(k+1)$-th kind $D_{n,k}(1,x)$ over $\\mathbb{F}_{p^e}$ when $n=p^l+2$, where $l\\in \\mathbb{N}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-22T20:57:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11T06",
      "11T55"
    ],
    "keywords": [
      "permutation binomials",
      "finite fields",
      "trinomials",
      "reversed dickson polynomials"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}