{
  "id": "1304.0521",
  "version": "v4",
  "published": "2013-04-02T03:33:42.000Z",
  "updated": "2014-07-01T03:50:31.000Z",
  "title": "The Number of Irreducible Polynomials over Finite Fields of Characteristic 2 with Given Trace and Subtrace",
  "authors": [
    "Won-Ho Ri",
    "Gum-Chol Myong",
    "Ryul Kim",
    "Chang-Il Rim"
  ],
  "comment": "16 pages",
  "journal": "Finite Fields and Their Applications, Vol.29, 2014, pp.118-131",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper we obtained the formula for the number of irreducible polynomials with degree $n$ over finite fields of characteristic two with given trace and subtrace. This formula is a generalization of the result of Cattell et al.(2003) [2].",
  "revisions": [
    {
      "version": "v4",
      "updated": "2014-07-01T03:50:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11T06",
      "11A25",
      "12E20"
    ],
    "keywords": [
      "finite fields",
      "irreducible polynomials",
      "characteristic",
      "generalization"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.0521R"
    }
  }
}