Paper 2020/295

Generalized Isotopic Shift Construction for APN Functions

Lilya Budaghyan and Marco Calderini and Claude Carlet and Robert Coulter and Irene Villa

Abstract

In this work we give several generalizations of the isotopic shift construction, introduced recently by Budaghyan et al. (2018), when the starting function is a Gold function. In particular, we derive a general construction of APN functions which produces one new APN function for $n=8$ and fifteen new APN functions for $n=9$.