Boolean functions are essential to systems for secure and reliable communication. This
comprehensive survey of Boolean functions for cryptography and coding covers the whole …

In EUROCRYPT 2018, Cid et al. introduced a new concept on the cryptographic property of
S-boxes: boomerang connectivity table (BCT for short) for evaluating the subtleties of …

Motivated by recent works on the butterfly structure, particularly by its generalization
introduced by Canteaut et al.(IEEE Trans Inf Theory 63 (11): 7575–7591, 2017), we first …

Permutation polynomials over finite fields are fundamental objects as they are used in
various theoretical and practical applications in cryptography, coding theory, combinatorial …

Extending previous results, we study a class of general quadrinomials over the field of size 2
2m with odd m and characterize conditions under which they are permutations with 4 …

Modifying the binary inverse function in a variety of ways, like swapping two output points
has been known to produce a 4-differential uniform permutation function. Recently, in [21] it …

Only three classes of Almost Perfect Nonlinear (for short, APN) power functions over odd
characteristic finite fields have been investigated in the literature, and their differential …

Functions with low differential uniformity can be used in a block cipher as S-boxes since they
have good resistance to differential attacks. In this paper we consider piecewise …

The differential spectrum of a cryptographic function is of significant interest for estimating
the resistance of the involved vectorial function to some variances of differential …

Permutations with differential and boomerang uniformity 4 over F 2 2 k offer good resistance
to block ciphers against differential and boomerang attacks. There are five primarily …