Generalized isotopic shift construction for APN functions
Lilya Budaghyan, Marco Calderini, Claude Carlet, Robert S. Coulter, Irène Villa · Designs Codes and Cryptography · 2020
Abstract In this work we give several generalizations of the isotopic shift construction, introduced recently by Budaghyan et al. (IEEE Trans Inform Theory 66:5299–5309, 2020), when the initial function is a Gold function. In particular, we derive a general construction of APN functions which covers several unclassified APN functions for $$n=8$$ n = 8 and produces fifteen new APN functions for $$n=9$$ n = 9 .