Differential spectra of a class of power permutations with characteristic 5

DOI10.1007/s10623-021-00865-9zbMath1495.11134OpenAlexW3148783390MaRDI QIDQ2034985

Haode Yan, Chengju Li

Publication date: 23 June 2021

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-021-00865-9

zbMATH Keywords

elliptic curvedifferential uniformitydifferential spectrumpower permutation

Mathematics Subject Classification ID

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

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 ⋮ A note on the \(c\)-differential spectrum of an AP\(c\)N function ⋮ 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 ⋮ 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

• Unnamed Item
• More differentially 6-uniform power functions
• Differential properties of power functions
• Differential cryptanalysis of DES-like cryptosystems
• Some power mappings with low differential uniformity
• On a conjecture of differentially 8-uniform power functions
• 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
• A note on the differential spectrum of a differentially 4-uniform power function
• The Arithmetic of Elliptic Curves
• 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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