Permutation polynomials with low differential uniformity are important candidate functions to
design substitution boxes of block ciphers. In this paper, we investigate several classes of …

In this paper, we generalize the switching method and present a method to construct new
differentially 4-uniform permutations from two known ones by determining the corresponding …

Differentially 4-uniform involutions on F 2 2 k play important roles in the design of
substitution boxes (S-boxes). Despite the active researches on differentially 4-uniform …

A construction of differentially 4-uniform permutations by modifying the values of the inverse
function on a union of some cosets of a multiplication subgroup of F∗< sub> 2n was given …

Research on permutation polynomials over the finite field F 2 2k with significant
cryptographical properties such as possibly low differential uniformity, possibly high …

Развивается комбинаторный подход к исследованию и методам построения
дифференциально 2-равномерных подстановок векторного пространства над …

We introduce a new concept, the APN-defect, which can be thought of as measuring the
distance of a given function $ G:\mathbb {F} _ {2^ n}\rightarrow\mathbb {F} _ {2^ n} $ to the …

In this paper, we study the differential uniformity of the composition of two functions with the
help of Boolean matrix theory. Based on the result of our research, we can construct new …

Finding permutation polynomials with low differential and boomerang uniformity is an
important topic in S-box designs of many block ciphers. For example, AES chooses the …

In this paper we study a new construction of differentially 4-uniform permutations from known
ones and the inverse function. We focus on constructing methods of [20]. We split a finite …