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In this paper we generalize Dillon's switching method to characterize theexact $c$-differential uniformity of functions constructed via this method.More precisely, we modify some PcN/APcN and other functions with known$c$-differential uniformity in a controllable number of coordinates to rendermore such functions. We present several applications of the method inconstructing PcN and APcN functions with respect to all $c\neq 1$. As abyproduct, we generalize some result of [Y. Wu, N. Li, X. Zeng, {\em New PcNand APcN functions over finite fields}, Designs Codes Crypt. 89 (2021),2637--2651]. Computational results rendering functions with low differentialuniformity, as well as, other good cryptographic properties are sprinkledthroughout the paper.

Low c-differentially uniform functions via an extension of Dillon's switching method