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

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9 papers · 1 filter

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…

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…

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…

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…