W. Meidl

activity

20102020

collaborators

9 papers

math.NT2020

On functions with the maximal number of bent components

Nurdagül Anbar, Tekgül Kalaycı, Wilfried Meidl +1

A function $F : F_{2}^{n} \to F_{2}^{n}$ , $n = 2 m$ , can have at most $2^{n} - 2^{m}$ bent component functions. Trivial examples are obtained as $F(x) = (f_1(x),\ldots,f_m(x)…

math.NT2020

Bent and $Z_{2^{k}}$ -bent functions from spread-like partitions

Wilfried Meidl, Isabel Pirsic

Bent functions from a vector space $V_{n}$ over $F_{2}$ of even dimension $n = 2 m$ into the cyclic group $Z_{2^{k}}$ , or equivalently, relative difference sets in $V_n\time…

cs.IT2020

Vanishing Flats: A Combinatorial Viewpoint on the Planarity of Functions and Their Application

Shuxing Li, Wilfried Meidl, Alexandr Polujan +3

For a function $f$ from $F_{2}^{n}$ to $F_{2}^{n}$ , the planarity of $f$ is usually measured by its differential uniformity and differential spectrum. In this paper, we p…

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.NT2017

On the normality of $p$ -ary bent functions

Wilfried Meidl, Ísabel Piršić

Depending on the parity of $n$ and the regularity of a bent function $f$ from $F_{p}^{n}$ to $F_{p}$ , $f$ can be affine on a subspace of dimension at most $n /2$ , $(n-1)/2…

cs.IT2016

Full characterization of generalized bent functions as (semi)-bent spaces, their dual, and the Gray image

Samir Hodžić, Wilfried Meidl, Enes Pasalic

In difference to many recent articles that deal with generalized bent (gbent) functions $f : Z_{2}^{n} \to Z_{q}$ for certain small valued $q \in {4, 8, 16}$ , we…