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 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 were proposed in 2020 and attracted lots of
attention, especially the P c N and AP c N functions, due to their applications in …

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) …

In this paper we characterize the c-Boomerang Connectivity Table (BCT), c≠ 0 (thus,
including the classical c= 1 case), for all monomial function xd in terms of characters and …

The c-differential uniformity is recently proposed to reflect resistance against some variants
of differential attack. Finding functions with low c-differential uniformity is attracting attention …

Permutation polynomials with low c-differential uniformity and boomerang uniformity have
wide applications in cryptography. In this paper, by utilizing the Weil sums technique and …

Recently, a new concept called the c-differential uniformity was proposed by Ellingsen et
al.(2020), which generalizes the notion of differential uniformity measuring the resistance …

Here, we give a complete description of the entire c-Boomerang Connectivity Table for the
Gold function over finite fields of even characteristic, by using double Weil sums. As a by …