In this paper, we consider the maximum absolute value Δ f in the autocorrelation spectrum
(not considering the zero point) of a function f. In an even number of variables n, bent …

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 …

In a very recent work by Tang and Maitra (IEEE Ttans Inf Theory 64 (1): 393–402, 2018, a
theoretical construction of balanced functions f on n-variables (n ≡ 2\bmod 4 n≡ 2 mod 4) …

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 …

We study the differential uniformity of a class of permutations over F _ 2^ n with n even.
These permutations are different from the inverse function as the values x− 1 are modified to …

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 …

Let F 2 n be a finite field with 2 n elements and fc _ (x)= c 0 x 2 m (2 k+ 1)+ c 1 x 2 m+ k+ 1+ c
2 x 2 m+ 2 k+ c 3 x 2 k+ 1∈ F 2 n [x], where n, m and k are positive integers with n= 2 m and …

We present several new constructions of differentially 4-uniform permutations over F_2^2m
by modifying the values of the inverse function on some subsets of F_2^2m. The resulted …