On Some Properties of Quadratic APN Functions of a Special Form

Abstract

In a recent paper, it is shown that functions of the form $L_1(x^3)+L_2(x^9)$, where $L_1$ and $L_2$ are linear, are a good source for construction of new infinite families of APN functions. In the present work we study necessary and sufficient conditions for such functions to be APN.

References in corpus (1)

• A new APN function which is not equivalent to a power mapping