Differential cryptanalysis is a general form of cryptanalysis applicable primarily to block and
stream ciphers and cryptographic hash functions. The discovery of differential cryptanalysis …

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 …

The boomerang uniformity measures the resistance of block ciphers to boomerang attacks
and has become an essential criterion of the substitution box (S-box). However, the S-box es …

Motivated by recent works on the butterfly structure, particularly by its generalization
introduced by Canteaut et al.(IEEE Trans Inf Theory 63 (11): 7575–7591, 2017), we first …

In this paper, we study the boomerang spectrum of the power map** 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 …

Extending previous results, we study a class of general quadrinomials over the field of size 2
2m with odd m and characterize conditions under which they are permutations with 4 …

We determine all permutation polynomials over F q 2 F_q^2 of the form X r A (X q− 1)
X^rA(X^q-1) where, for some QQ that is a power of the characteristic of F q F_q, we have r≡ …

Over the past several years, there are numerous papers about permutation polynomials of
the form xrh (xq− 1) over F q 2. A bijection between the multiplicative subgroup μ q+ 1 of F q …

Classification of fractional projective permutations over finite fields - ScienceDirect Skip to
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We consider the boomerang uniformity of an infinite class of (locally-APN) power maps and
show that their boomerang uniformity over the finite field F _ 2^ n F 2 n is 2 and 4, when n ≡ …