Yayınlanmış 1 Ocak 2018 | Sürüm v1
Dergi makalesi Açık

On the difference between permutation polynomials

  • 1. Austrian Acad Sci, Johann Radon Inst Computat & Appl Math, Altenbergerstr 69, A-4040 Linz, Austria
  • 2. Univ Sarajevo, Zmaja Bosne 35, Sarajevo 71000, Bosnia & Herceg
  • 3. Univ Warwick, Coventry CV4 7AL, W Midlands, England
  • 4. Univ Fed Rio de Janeiro, BR-21941909 Rio De Janeiro, RJ, Brazil
  • 5. Sabancz Univ, MDBF, TR-34956 Istanbul, Turkey

Açıklama

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.

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