A negative answer to Bracken-Tan-Tan's problem on differentially 4-uniform permutations over \(\mathbb F_2n\)

DOI10.1016/j.ffa.2013.05.007zbMath1284.94102OpenAlexW1977502427MaRDI QIDQ2447797

Hai Xiong, Longjiang Qu, Chao Li

Publication date: 29 April 2014

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2013.05.007

zbMATH Keywords

permutation polynomialAPN functiondifferentially 4-uniform function

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Polynomials over finite fields (11T06) Boolean functions (06E30)

Related Items (3)

Further results on differentially 4-uniform permutations over \(\mathbb{F}_{2^{2m}}\) ⋮ New links between nonlinearity and differential uniformity ⋮ More constructions of differentially 4-uniform permutations on \(\mathbb {F}_{2^{2k}}\)

Cites Work

• Unnamed Item
• Binomial differentially 4 uniform permutations with high nonlinearity
• A few more quadratic APN functions
• Differential cryptanalysis of DES-like cryptosystems
• A highly nonlinear differentially 4 uniform power mapping that permutes fields of even degree
• On the Fourier spectra of the infinite families of quadratic APN functions
• New Families of Differentially 4-Uniform Permutations over ${\mathbb F}_{2^{2k}}$
• On Almost Perfect Nonlinear Permutations
• The weight enumerators for several classes of subcodes of the 2nd order binary Reed-Muller codes
• Maximal recursive sequences with 3-valued recursive cross-correlation functions (Corresp.)

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