In this paper, we further study the switching constructions of differentially 4-uniform
permutations over F 2 2 k from the inverse function and propose several new explicit …

Substitution boxes (S-boxes) are important components of block ciphers that can cause
confusion in cryptosystems. The functions used as S-boxes should have low differential …

Many block ciphers use permutations defined over the finite field $\mathbb {F} _ {2^{2k}} $
with low differential uniformity, high nonlinearity, and high algebraic degree to provide …

Dear editor, A polynomial f (x)∈ Fq [x] is called a permutation polynomial (PP) over the finite
field Fq if the associated mapping f: c↦→ f (c) from Fq to itself is bijective. A PP f is called a …

The boomerang uniformity is a safety index of S-boxes, which measures the resistance of
block ciphers to the boomerang attack. In this paper, we investigate the boomerang …

Finding permutations with good cryptographic parameters is a good research topic about
constructing a secure S-box in substitution-permutation networks. In particular constructing …

Non-Monomial Permutations with Differential Uniformity Six Page 1 J Syst Sci Complex (2018)
31: 1078–1089 Non-Monomial Permutations with Differential Uniformity Six ∗ TU Ziran · ZENG …

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 …

2n по некоторой ее подгруппе H являются линейными. С использованием
предложенного метода построено большое число новых CCZ-неэквивалентных …

Permutations with low differential uniformity, high nonlinearity and high algebraic degree
over F 2 2 k are preferred substitution boxes in modern block ciphers. In this paper, we study …