W. Meidl

activity

20102022

most citedGeneralized bent functions and their Gray images

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

collaborators

17 papers

cs.IT2022★ 1 cited

P $℘$ N functions, complete mappings and quasigroup difference sets

Nurdagul Anbar, Tekgul Kalyci, Wilfried Meidl +2

We investigate pairs of permutations $F, G$ of $F_{p^{n}}$ such that $F (x + a) - G (x)$ is a permutation for every $a \in F_{p^{n}}$ . We show that necessarily $G(x) = \wp(F(x…

cs.IT2020

Linear codes and incidence structures of bent functions and their generalizations

Wilfried Meidl, Alexandr A. Polujan, Alexander Pott

In this paper we consider further applications of $(n, m)$ -functions for the construction of 2-designs. For instance, we provide a new application of the extended Assmus-Mattson the…

math.NT2020★ 1 cited

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…

math.NT2016

Modified planar functions and their components

Nurdagül Anbar, Wilfried Meidl

Zhou 2013 introduced modified planar functions to describe $(2^{n}, 2^{n}, 2^{n}, 1)$ relative difference sets $R$ as a graph of a function on the finite field $\F_{2^n}$, and pointed out t…

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…

cs.IT2016

Decomposing generalized bent and hyperbent functions

Thor Martinsen, Wilfried Meidl, Sihem Mesnager +1

In this paper we introduce generalized hyperbent functions from $F_{2^{n}}$ to $Z_{2^{k}}$ , and investigate decompositions of generalized (hyper)bent functions. We show that generalize…

math.NT2016

Idempotent and p-potent quadratic functions: Distribution of nonlinearity and co-dimension

Nurdagül Anbar, Wilfried Meidl, Alev Topuzoglu

The Walsh transform $Q$ of a quadratic function $Q : F_{p^{n}} \to F_{p}$ satisfies $∣ Q (b) ∣ \in {0, p^{\frac{n + s}{2}}}$ for all $b \in F_{p^{n}}$ , where $0\le s\…

cs.IT2015

There are infinitely many bent functions for which the dual is not bent

Ayca Cesmelioglu, Wilfried Meidl, Alexander Pott

Bent functions can be classified into regular bent functions, weakly regular but not regular bent functions, and non-weakly regular bent functions. Regular and weakly regular bent…

cs.IT2015★ 2 cited

Partial Spread and Vectorial Generalized Bent Functions

Thor Martinsen, Wilfried Meidl, Pantelimon Stanica

In this paper we generalize the partial spread class and completely describe it for generalized Boolean functions from $\F_2^n$ to $Z_{2^{t}}$ . Explicitly, we describe gbent…

cs.IT2015★ 6 cited

Generalized bent functions and their Gray images

Thor Martinsen, Wilfried Meidl, Pantelimon Stanica

In this paper we prove that generalized bent (gbent) functions defined on $Z_{2}^{n}$ with values in $Z_{2^{k}}$ are regular, and find connections between the (generali…

cs.IT2014

Multisequences with high joint nonlinear complexity

Wilfried Meidl, Harald Niederreiter

We introduce the new concept of joint nonlinear complexity for multisequences over finite fields and we analyze the joint nonlinear complexity of two families of explicit inversive…

math.NT2013★ 1 cited

(Not) weakly regular univariate bent functions

Ayça Çeşmelioğlu, Wilfried Meidl

In this article a procedure to construct bent functions from $\F_{p^n}$ to $\F_p$ by merging plateaued functions which are bent on ( $n - 2$ )-dimensional subspaces of $\F_{p^n}$ is pr…

math.CO2010

A Construction of Weakly and Non-Weakly Regular Bent Functions

Ayca Cesmelioglu, Gary McGuire, Wilfried Meidl

In this article a technique for constructing $p$ -ary bent functions from near-bent functions is presented. Two classes of quadratic $p$ -ary functions are shown to be near-bent. App…