… involutions constructed by composing the inverse function and cycles with length 3 are also
… cipher uses a differentially 4-uniform permutation, the multiplicative inverse function over \(\…

… of piecewise function with the help of permutation group theory. Based on our results, We
found many at least differentially 6-uniform and differentially 4-uniform permutations over F 2 2 …

… In this paper, we extend their results to differentially 4-uniform permutations … differentially
4-uniform permutation polynomials over F2n by modifying the values of the inverse function on …

… or composition of cycle and the inverse function. As a result, we give … permutation polynomials
of Carlitz rank at most 4 and we present new classes of differentially 4-uniform permutation …

… permutation polynomial if the polynomial induces a bijection … , we will use Hermite’s criterion
for permutation polynomials. … differentially uniform function from a known planar function by …

… of values of APN or differentially 4-uniform functions at a small … a permutation G, which is not
necessarily the inverse function. … interchanged so as to obtain the permutation σH satisfying …

… is to achieve rearrangement like in IP, inverse IP in DES [16]. In … as bijections on an algebraic
structure like finite rings or finite fields. We treat a permutation on n symbols as a bijection …

… family of differentially 4-uniform \((m+1,m)\)-functions which … is a bijection, L is a linear (k,
m)-function and h is any function … also a differentially 4-uniform \((m+1,m+1)\)-permutation when …

… This article exhibits low differentially uniform power … 3 (mod 4) and p = 3), F is an APN power
permutation when … as APN, PN and differential 4-uniform functions) in non-binary cases (p …

… some non-quadratic differentially 4-uniform functions. In … function and three classes of 4-uniform
functions constructed by Li, Wang and Yu, obtained from modifying the inverse functions. …