On construction and (non)existence of c-(almost) perfect nonlinear functions

08/10/2020

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by   Daniele Bartoli, et al.

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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.