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arXiv · 2008.03953

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

Daniele Bartoli·Marco Calderini
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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.

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Daniele Bartoli, Marco Calderini. 2021-02-04. On construction and (non)existence of $c$-(almost) perfect nonlinear functions. https://arxiv.org/abs/2008.03953

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