New results on PcN and APcN polynomials over finite fields
Z Zha, L Hu - Finite Fields and Their Applications, 2024 - Elsevier
Permutation polynomials with low c-differential uniformity have important applications in
cryptography and combinatorial design. In this paper, we investigate perfect c-nonlinear …
cryptography and combinatorial design. In this paper, we investigate perfect c-nonlinear …
On functions of low differential uniformity in characteristic 2: A close look (I)
N Anbar, T Kalaycı, A Topuzoğlu - arXiv preprint arXiv:2406.07468, 2024 - arxiv.org
We introduce a new concept, the APN-defect, which can be thought of as measuring the
distance of a given function $ G:\mathbb {F} _ {2^ n}\rightarrow\mathbb {F} _ {2^ n} $ to the …
distance of a given function $ G:\mathbb {F} _ {2^ n}\rightarrow\mathbb {F} _ {2^ n} $ to the …
[PDF][PDF] On partially APN functions
A Topuzoglu - wcc2022.uni-rostock.de
We consider modifications of APN functions F: F2n→ F2n or those of differential uniformity 4,
and discuss their differential behaviour by using various concepts of partial APN-ness. We …
and discuss their differential behaviour by using various concepts of partial APN-ness. We …