1 citations · 2 across the 8 of their papers we have counts for
9 papers
Cyclotomic skew partial difference sets and partial difference families
Sophie Huczynska, Tekgül Kalaycı
Skew partial difference sets (skew PDSs) are recently-introduced combinatorial objects closely related to partial difference sets (PDSs). To date, only one construction approach fo…
On Generalizations of Maiorana-McFarland and Functions
Sezel Alkan, Nurdagül Anbar, Athina Avrantini +3
We study generalizations of two classical primary constructions of Boolean bent functions, namely the Maiorana-McFarland () class and the (Desarguesian) partial spread ($\mathc…
On functions of low differential uniformity in characteristic 2: A close look (I)
Nurdagül Anbar, Tekgül Kalaycı, Alev Topuzoğlu
We introduce a new concept, the APN-defect, which can be thought of as measuring the distance of a given function to the set of al…
Asymptotic performance of double and four circulant codes with small hull dimension
Zohreh Aliabadi, Tekgül Kalaycı
We study the asymptotic behavior of double and four circulant codes, which are quasi-cyclic codes of index two and four respectively. Exact enumeration results are derived for thes…
On the hull and complementarity of one generator quasi-cyclic codes and four-circulant codes
Zohreh Aliabadi, Cem Güneri, Tekgül Kalaycı
We study one generator quasi-cyclic codes and four-circulant codes, which are also quasi-cyclic but have two generators. We state the hull dimensions for both classes of codes in t…
A note on the hull and linear complementary pair of cyclic codes
Zohreh Aliabadi, Tekgül Kalaycı
The Euclidean hull of a linear code is defined as , where denotes the dual of under the Euclidean inner product. A linear code with zero hull dim…
PN functions, complete mappings and quasigroup difference sets
Nurdagul Anbar, Tekgul Kalyci, Wilfried Meidl +2
We investigate pairs of permutations of such that is a permutation for every . We show that necessarily $G(x) = \wp(F(x…
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)…
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 $\…