Investigations on c-(almost) perfect nonlinear functions
arXiv:2004.02245v28 citations
AI Analysis
This work addresses incremental improvements in cryptographic security analysis for cryptographers.
The authors investigated c-(almost) perfect nonlinear functions, showing that their c-differential uniformity increases significantly in some cases, which extends differential cryptanalysis.
In a prior paper [14], along with P. Ellingsen, P. Felke and A. Tkachenko, we defined a new (output) multiplicative differential, and the corresponding c-differential uniformity, which has the potential of extending differential cryptanalysis. Here, we continue the work, by looking at some APN functions through the mentioned concept and show that their c-differential uniformity increases significantly, in some cases.