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 …

Differentially 4 4-uniform permutations on F _ 2^ 2k F 2 2 k with high nonlinearity are chosen
as Substitution boxes in many block ciphers and some stream ciphers. Recently, Qu et …

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 …

The existence of almost perfect nonlinear (APN) permutations operating on an even number
of variables was a long-standing open problem, until an example with six variables was …

The boomerang attack, introduced by Wagner in 1999, is a cryptanalysis technique against
block ciphers based on differential cryptanalysis. In particular it takes into consideration two …

Permutations over 𝔽 2 2 k F_2^2k with low differential uniformity, high algebraic degree and
high nonlinearity are of great cryptographic importance since they can be chosen as the …

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 …

The inverse, the Gold, and the Bracken-Leander functions are crucial for building S-boxes of
block ciphers with good cryptographic properties in symmetric cryptography. These functions …

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 …