4 citations · 11 across the 11 of their papers we have counts for
14 papers
On Generalizations of Maiorana-McFarland and Functions
Sezel Alkan, Nurdagül Anbar, Athina Avrantini +3
We study generalizations of two classical primary constructions of Boolean bent functions, namely the Maiorana-McFarland () class and the (Desarguesian) partial spread ($\mathc…
On functions of low differential uniformity in characteristic 2: A close look (I)
Nurdagül Anbar, Tekgül Kalaycı, Alev Topuzoğlu
We introduce a new concept, the APN-defect, which can be thought of as measuring the distance of a given function to the set of al…
Vectorial Negabent Concepts: Similarities, Differences, and Generalizations
Nurdagül Anbar, Sadmir Kudin, Wilfried Meidl +2
In Pasalic et al., IEEE Trans. Inform. Theory 69 (2023), 2702--2712, and in Anbar, Meidl, Cryptogr. Commun. 10 (2018), 235--249, two different vectorial negabent and vectorial bent…
PN functions, complete mappings and quasigroup difference sets
Nurdagul Anbar, Tekgul Kalyci, Wilfried Meidl +2
We investigate pairs of permutations of such that is a permutation for every . We show that necessarily $G(x) = \wp(F(x…
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…
Modified planar functions and their components
Nurdagül Anbar, Wilfried Meidl
Zhou 2013 introduced modified planar functions to describe relative difference sets as a graph of a function on the finite field $\F_{2^n}$, and pointed out t…
A modular interpretation of various cubic towers
Nurdagül Anbar, Alp Bassa, Peter Beelen
In this article we give a Drinfeld modular interpretation for various towers of function fields meeting Zink's bound.
A complete characterization of Galois subfields of the generalized Giulietti--Korchmáros function field
Nurdagül Anbar, Alp Bassa, Peter Beelen
We give a complete characterization of all Galois subfields of the generalized Giulietti--Korchmáros function fields $\mathcal C_n / \fqn$ for . Calculating the genera of t…
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\…
Complete arcs and complete caps from cubics with an isolated double point
Nurdagul Anbar, Daniele Bartoli, Massimo Giulietti +1
Small complete arcs and caps in Galois spaces over finite fields $\fq$ with characteristic greater than 3 are constructed from cubic curves with an isolated double point. For a…