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 …

The study of Boolean functions with low c-differential uniformity has become recently an
important topic of research. However, in odd characteristic case, there are not many results …

Suppose y= f (x) has an inverse function x= f− 1 (y). In the October 2000 issue of this
MONTHLY, Tom Apostol gave a recursive method [1] for calculating the higher derivatives of …

Abstract At Eurocrypt'18, Cid, Huang, Peyrin, Sasaki, and Song introduced a new tool called
Boomerang Connectivity Table (BCT) for measuring the resistance of a block cipher against …

Modifying the binary inverse function (which is used in the Advanced Encryption Standard)
in a variety of ways, like swapping two output points, has been known to produce a 4 …

Block ciphers use substitution boxes (S-boxes) whose aim is to create confusion into the
cryptosystems. Functions used as S-boxes should have low differential uniformity, high …

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 …

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 …

We study the functions F s, t, γ (x)= x s+ γ T r (xt) on F 2 n. We describe the set of such
permutations and the explicit expressions of their compositional inverses. Further we …

In early nineties Carlet (1994) introduced two new classes of bent functions, both derived
from the Maiorana–McFarland (M) class, and named them C and D class, respectively. Apart …