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 $G:{\mathbb{F}}_{2^n}\to {\mathbb{F}}_{2^n}$ to the set of al…