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.
On construction and (non)existence of c-(almost) perfect nonlinear functions / Bartoli, D.; Calderini, M.. - In: FINITE FIELDS AND THEIR APPLICATIONS. - ISSN 1071-5797. - 72:(2021), pp. 10183501-10183516. [10.1016/j.ffa.2021.101835]
On construction and (non)existence of c-(almost) perfect nonlinear functions
Calderini M.
2021-01-01
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.File in questo prodotto:
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