New Families of Differentially 4-Uniform Permutations over ${\mathbb F}_{2^{2k}}$
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Publication:2907274
DOI10.1007/978-3-642-30615-0_3zbMath1290.94034OpenAlexW89216509MaRDI QIDQ2907274
Chao Li, Longjiang Qu, Yin Tan, Chik How Tan
Publication date: 7 September 2012
Published in: Lecture Notes in Computer Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-642-30615-0_3
Shift register sequences and sequences over finite alphabets in information and communication theory (94A55) Polynomials over finite fields (11T06)
Related Items (13)
On the boomerang uniformity of a class of permutation quadrinomials over finite fields ⋮ On the construction of differentially 4-uniform involutions ⋮ On permutation quadrinomials with boomerang uniformity 4 and the best-known nonlinearity ⋮ Sparse permutations with low differential uniformity ⋮ A new construction of differentially 4-uniform \((n,n-1)\)-functions ⋮ The \(c\)-differential uniformity and boomerang uniformity of three classes of permutation polynomials over \(\mathbb{F}_{2^n}\) ⋮ Constructions with high algebraic degree of differentially 4-uniform \((n, n - 1)\)-functions and differentially 8-uniform \((n, n - 2)\)-functions ⋮ Constructing new differentially 4-uniform permutations from the inverse function ⋮ A negative answer to Bracken-Tan-Tan's problem on differentially 4-uniform permutations over \(\mathbb F_2n\) ⋮ Differentially low uniform permutations from known 4-uniform functions ⋮ More constructions of differentially 4-uniform permutations on \(\mathbb {F}_{2^{2k}}\) ⋮ О $2$-транзитивных произведениях трех регулярных групп подстановок конечного поля ⋮ Constructing new differentially 4-uniform permutations from known ones
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