The differential spectrum of a ternary power mapping

DOI10.1016/j.ffa.2020.101660zbMath1475.11218OpenAlexW3010382201MaRDI QIDQ1987101

Xianglai Zhang, Yongbo Xia, Tor Helleseth, Chunlei Li

Publication date: 9 April 2020

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2020.101660

zbMATH Keywords

differential cryptanalysisdifferential uniformitydifferential spectrumpower mapping

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cyclic codes (94B15)

Related Items (10)

Differential and boomerang spectrums of some power permutations ⋮ On the \(c\)-differential spectrum of power functions over finite fields ⋮ Differential spectrum of a class of APN power functions ⋮ Two classes of power mappings with boomerang uniformity 2 ⋮ On the differential spectrum of a differentially 3-uniform power function ⋮ On a class of APN power functions over odd characteristic finite fields: their differential spectrum and \(c\)-differential properties ⋮ The differential spectrum and boomerang spectrum of a class of locally-APN functions ⋮ Differential spectra of a class of power permutations with characteristic 5 ⋮ On the differential properties of the power mapping \(x^{p^m + 2}\) ⋮ A note on the differential spectrum of a class of power mappings with Niho exponent

Cites Work

• More differentially 6-uniform power functions
• Sparse permutations with low differential uniformity
• Differential properties of power functions
• Differential cryptanalysis of DES-like cryptosystems
• A highly nonlinear differentially 4 uniform power mapping that permutes fields of even degree
• On a conjecture of differentially 8-uniform power functions
• Differential spectrum of some power functions in odd prime characteristic
• A note on the differential spectrum of a differentially 4-uniform power function
• Ternary m-sequences with three-valued cross-correlation function: new decimations of Welch and Niho type
• New families of almost perfect nonlinear power mappings
• Differential Spectrum of Kasami Power Permutations Over Odd Characteristic Finite Fields
• Differential Properties of ${x\mapsto x^{2^{t}-1}}$
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