[Turkmath:1587] GTU Matematik Bölümü Genel Seminerleri

[Işıl Öner]

         Sayin Liste Uyeleri,

          Gebze Teknik Üniversitesi (GTU) Matematik Bölümü Genel Seminerleri kapsamında,
4 Kasım 2016 Cuma günü saat 14:00'da Leyla Işık (Salzburg Üniversitesi) bir seminer  verecektir. Seminerin detayları aşağıda ve ekte olup tüm ilgilenenler davetlidir.

Saygılarımızla.



         Dear all,

         There will be a seminar in Gebze Technical University (GTU) on 4th of November by Leyla Işık (Salzburg Uni).
Time  and  place:  At 14:00 in Department of Mathematics, Building I, Seminar room.

Title: Index and Carlitz Rank of Permutation Polynomials

Abstract: Carlitz rank and index are two important measures for the complexity of a permutation polynomial. In particular, for cryptographic applications we need both, a high Carlitz rank and a high index. In this article we study the relationship between Carlitz rank and index. More precisely, if the permutation polynomial is neither close to a polynomial of the form ax nor a rational function of the form ax?1 , then we show that the Carlitz rank is q + O(` + q 1/2 ), where ` is its index.
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