The Difference Distribution Table (DDT) and the differential uniformity play a major role for
the design of substitution boxes in block ciphers, since they indicate the function's resistance …

Recently, a new concept called multiplicative differential cryptanalysis and the
corresponding c-differential uniformity were introduced by Ellingsen et al.(2020), and then …

We analyze five newly emerged cryptographic characteristics and a new notion of algebraic
immunity proposed by us of 16 best affine equivalence classes of 4× 4 S-boxes, as well as …

Let F pn be a finite field with pn elements. Ness and Helleseth in [29] first studied a class of
functions over F pn with the form f (x)= uxpn− 3 2+ xpn− 2, u∈ F pn⁎, which is called the …

In this paper, we study the boomerang spectrum of the power mapping F (x)= xk (q-1) over F
q 2, where q= pm, p is a prime, m is a positive integer and gcd (k, q+ 1)= 1. We first …

This article focuses on the so-called locally-APN power functions introduced by Blondeau,
Canteaut and Charpin, which generalize the well-known notion of APN functions and …

In EUROCRYPT 2018, Cid et al. introduced a new concept on the cryptographic property of
S-boxes to evaluate the subtleties of boomerang-style attacks. This concept was named as …

Motivated by a recent work of Zhang and Yan on the $ c $-differential spectrum of some
power functions over finite fields, we further study an AP $ c $ N function and express its $ c …

We give bounds for the boomerang uniformity of the perturbation of some special classes of
permutation functions, namely, Gold and inverse functions via trace maps. Consequently, we …

Permutation polynomials over finite fields have been extensively studied not only for their
applications in cryptography, but have also been applied to coding theory and combinatorial …