Investigations on c-(almost) perfect nonlinear functions

Abstract

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.

arXiv admin note: text overlap with arXiv:1909.03628

References in corpus (1)

• Power Functions over Finite Fields with Low $c$-Differential Uniformity

Cited by in corpus (5)

• Investigations on $c$-Boomerang Uniformity and Perfect Nonlinearity
• Some classes of power functions with low c-differential uniformity over finite fields
• New P$c$N and AP$c$N functions over finite fields
• $C$-differential bent functions and perfect nonlinearity
• Several classes of PcN power functions over finite fields