Differential cryptanalysis is a general form of cryptanalysis applicable primarily to block and
stream ciphers and cryptographic hash functions. The discovery of differential cryptanalysis …

In a prior paper (Ellingsen et al., 2020), two of us, along with P. Ellingsen, P. Felke, and A.
Tkachenko, defined a new (output) multiplicative differential and the corresponding …

In this paper, we investigate the power function over the finite field, where is a positive
integer and. We prove that this power function is AP with respect to all satisfying, and we …

The Difference Distribution Table (DDT) and the differential uniformity play a major role for
the design of substitution boxes in block ciphers, since they indicate the function's resistance …

Functions with low c-differential uniformity have optimal resistance to some types of
differential cryptanalysis. In this paper, we investigate the c-differential uniformity of power …

Functions with low differential uniformity have relevant applications in cryptography.
Recently, functions with low c-differential uniformity attracted lots of attention. In particular, so …

Functions with low c-differential uniformity were proposed in 2020 and attracted lots of
attention, especially the P c N and AP c N functions, due to their applications in …

Recently, a new concept called multiplicative differential cryptanalysis and the
corresponding c-differential uniformity were introduced by Ellingsen et al.(2020), and then …

We analyze five newly emerged cryptographic characteristics and a new notion of algebraic
immunity proposed by us of 16 best affine equivalence classes of 4× 4 S-boxes, as well as …

Very recently, a new concept called multiplicative differential and the corresponding c-
differential uniformity were introduced by Ellingsen et al.(IEEE Trans. Inform. Theory 66 (9) …