Leyla Isik

activity

20162020

most citedComplete mappings and Carlitz rank

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

collaborators

4 papers

math.CO2020

On the Index of Diffie-Hellman Mapping

Leyla Işık, Arne Winterhof

Let $γ$ be a generator of a cyclic group $G$ of order $n$ . The least index of a self-mapping $f$ of $G$ is the index of the largest subgroup $U$ of $G$ such that $f (x) x^{- r}$ is co…

math.NT2017

Maximum-order Complexity and Correlation Measures

Leyla Işık, Arne Winterhof

We estimate the maximum-order complexity of a binary sequence in terms of its correlation measures. Roughly speaking, we show that any sequence with small correlation measure up to…

math.CO2016

Carlitz Rank and Index of Permutation Polynomials

Leyla Işık, Arne Winterhof

Carlitz rank and index are two important measures for the complexity of a permutation polynomial $f (x)$ over the finite field $\F_q$. In particular, for cryptographic applications…

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…