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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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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.NT2020

Bent and -bent functions from spread-like partitions

Wilfried Meidl, Isabel Pirsic

Bent functions from a vector space over of even dimension into the cyclic group , or equivalently, relative difference sets in $V_n\time…

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 -ary bent functions

Wilfried Meidl, Ísabel Piršić

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

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

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\…

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 ()-dimensional subspaces of $\F_{p^n}$ is pr…