Alev Topuzoğlu

most citedComplete mappings and Carlitz rank

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

cs.IT2024

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 $G : F_{2^{n}} \to F_{2^{n}}$ to the set of al…

math.CO2016★ 1 cited

Complete mappings and Carlitz rank

Leyla Işık, Alev Topuzoğlu, Arne Winterhof

The well-known Chowla and Zassenhaus conjecture, proven by Cohen in 1990, states that for any $d \geq 2$ and any prime $p > (d^{2} - 3 d + 4)^{2}$ there is no complete mapping polynomial in $\m…

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\…