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6 papers
On functions with the maximal number of bent components
Nurdagül Anbar, Tekgül Kalaycı, Wilfried Meidl +1
A function , , can have at most bent component functions. Trivial examples are obtained as $F(x) = (f_1(x),\ldots,f_m(x)…
On nilpotent automorphism groups of function fields
Nurdagül Anbar, Burçin Güneş
We study the automorphisms of a function field of genus over an algebraically closed field of characteristic . More precisely, we show that the order of a nilpotent…
Determining the Walsh spectra of Taniguchi's and related APN-functions
Nurdagül Anbar, Tekgül Kalaycı, Wilfried Meidl
We introduce a method based on Bezout's theorem on intersection points of two projective plane curves, for determining the nonlinearity of some classes of quadratic functions on $\…
On Belyi's Theorems in Positive Characteristic
Nurdagul Anbar, Seher Tutdere
There are two types of Belyi's Theorem for curves defined over finite fields of characteristic p, namely the Wild and the Tame p-Belyi Theorems. In this paper, we discuss them in t…
On the difference between permutation polynomials over finite fields
Nurdagül Anbar, Almasa Oduzak, Vandita Patel +3
The well-known Chowla and Zassenhaus conjecture, proven by Cohen in 1990, states that if , then there is no complete mapping polynomial in $\Fp[x]$ of degree $d…
Idempotent and p-potent quadratic functions: Distribution of nonlinearity and co-dimension
Nurdagül Anbar, Wilfried Meidl, Alev Topuzoglu
The Walsh transform of a quadratic function satisfies for all , where $0\le s\…