activity
20132026
most citedA modular interpretation of various cubic towers

4 citations · 11 across the 11 of their papers we have counts for

collaborators
Showing math.NTShow all

7 papers · 1 filter

math.NT2020★ 1 cited

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)…

math.NT2019

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 $\…

math.NT2018

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…

math.NT2016

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…

math.NT2016★ 4 cited

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.

math.NT2016★ 2 cited

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…

math.NT2016

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\…