## Cryptology ePrint Archive: Report 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 $n=9$.

Category / Keywords: secret-key cryptography / APN functions; Isotopic shift; Vectorial Boolean functions