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On the difference between permutation polynomials

Anbar, Nurdagul; Odzak, Almasa; Patel, Vandita; Quoos, Luciane; Somoza, Anna; Topuzoglu, Alev


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{
  "DOI": "10.1016/j.ffa.2017.09.009", 
  "abstract": "The well-known Chowla and Zassenhaus conjecture, proved by Cohen in 1990, states that if p > (d(2) - 3d + 4)(2), then there is no complete mapping polynomial f in F-p[x] of degree d >= 2. For arbitrary finite fields F-q, a similar non-existence result was obtained recently by Isik, Topuzoglu and Winterhof in terms of the Carlitz rank of f.", 
  "author": [
    {
      "family": "Anbar", 
      "given": " Nurdagul"
    }, 
    {
      "family": "Odzak", 
      "given": " Almasa"
    }, 
    {
      "family": "Patel", 
      "given": " Vandita"
    }, 
    {
      "family": "Quoos", 
      "given": " Luciane"
    }, 
    {
      "family": "Somoza", 
      "given": " Anna"
    }, 
    {
      "family": "Topuzoglu", 
      "given": " Alev"
    }
  ], 
  "container_title": "FINITE FIELDS AND THEIR APPLICATIONS", 
  "id": "30467", 
  "issued": {
    "date-parts": [
      [
        2018, 
        1, 
        1
      ]
    ]
  }, 
  "page": "132-142", 
  "title": "On the difference between permutation polynomials", 
  "type": "article-journal", 
  "volume": "49"
}
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