Ayça Çeşmelioğlu

activity

20102026

most citedA Representation of Permutations with Full Cycle

2 citations · 2 across the 3 of their papers we have counts for

collaborators

5 papers

math.NT2026

Overconstrained character sums over finite abelian groups and decompositions of generalized bent, plateaued and landscape functions

Ayça Çeşmelioğlu, Constanza Riera, Pantelimon Stănică

Generalized bent (gbent) functions from an $n$ -variable Boolean space to $Z_{2^{k}}$ are central in cryptography and sequence design. Instead of the usual binary decompositi…

math.CO2018

Graphs of Vectorial Plateaued Functions as Difference Sets

Ayça Çeşmelioğlu, Oktay Olmez

A function $F : F_{p^{n}} \to F_{p^{m}},$ is a vectorial $s$ -plateaued function if for each component function $F_{b} (μ) = T r_{n} (α F (x)), b \in F_{p^{m}}^{*}$ an…

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…

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…

math.NT2010★ 2 cited

A Representation of Permutations with Full Cycle

Ayca Cesmelioglu

For q > 2, Carlitz proved that the group of permutation polynomials (PPs) over F_q is generated by linear polynomials and x^{q-2}. Based on this result, this note points out a simp…