On construction and (non)existence of c-(almost) perfect nonlinear functions
Daniele Bartoli, Marco Calderini · Finite Fields and Their Applications · 2021
Functions with low differential uniformity have relevant applications in cryptography. Recently, functions with low c-differential uniformity attracted lots of attention. In particular, so-called APcN and PcN functions (generalization of APN and PN functions) have been investigated. Here, we provide a characterization of such functions via quadratic polynomials as well as non-existence results.