Alev Topuzoğlu

collaborators

2 papers

math.CO2016

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\…