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On construction and (non)existence of $c$-(almost) perfect nonlinear functions (2008.03953v3)
Published 10 Aug 2020 in math.CO, cs.IT, and math.IT
Abstract: 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.