On the differential spectrum of a differentially 3-uniform power function

DOI10.1016/j.ffa.2023.102168OpenAlexW4319068795MaRDI QIDQ2689364

Tingting Pang, Nian Li, Xiangyong Zeng

Publication date: 10 March 2023

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2023.102168

zbMATH Keywords

power functiondifferential spectrumcyclotomic number

Mathematics Subject Classification ID

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

Cites Work

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• Differential properties of power functions
• Differential cryptanalysis of DES-like cryptosystems
• Some power mappings with low differential uniformity
• Differential spectrum of some power functions in odd prime characteristic
• The differential spectrum of a ternary power mapping
• The differential spectrum of a class of power functions over finite fields
• 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
• Differential and boomerang spectrums of some power permutations
• Ternary m-sequences with three-valued cross-correlation function: new decimations of Welch and Niho type
• The Differential Spectrum of the Power Mapping x ^{pn −3}
• Differential Spectrum of Kasami Power Permutations Over Odd Characteristic Finite Fields
• Pairs of Quadratic Equations in a Finite Field
• A note on the \(c\)-differential spectrum of an AP\(c\)N function

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