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.(c) 2021 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).

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

Daniele Bartoli;
2021

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.(c) 2021 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/1535013
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