Colloquia Seminar: Burcu Gülmez Temür

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📣 Colloquia Seminar:

Speaker: Assoc. Prof. Dr. Burcu Gülmez Temür
Department of Mathematics, Atılım University

Title: Some Permutation and Complete Permutation Polynomials Over Finite Fields

Date/Time: 09.05.2023 – 15:30 (GMT+3)

Abstract:
Let Fq be a finite field with q elements, where q is a power of a prime. A polynomial g(x) ∈ Fq[x] is called a permutation polynomial (PP) over Fq whenever the associated function g : a→ g(a) is a permutation of Fq. Recently there has been a great interest in permutation polynomials with a few terms because of their simple algebraic structures and extraordinary properties. Permutation polynomials are also very important since there are many applications of them in areas such as cryptography, coding theory and combinatorial designs. As far as we know, the studies on permutation polynomials goes back to work done by Dickson and Hermite. In this talk we will try to give our recent results on permutation polynomials over finite fields.


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