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

DOI10.3934/amc.2022075zbMath1517.94137OpenAlexW4295936850MaRDI QIDQ6112199

Haiying Zhu, Tingting Pang, Xiangyong Zeng, Nian Li

Publication date: 7 July 2023

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/amc.2022075

zbMATH Keywords

finite fieldcyclotomic number\( c \)-differential spectrum\( c \)-differential uniformityAP\(c\)N function

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (1)

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

Cites Work

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• Differential properties of power functions
• Differential spectra of a class of power permutations with characteristic 5
• Some classes of power functions with low \(c\)-differential uniformity over finite fields
• The \(c\)-differential behavior of the inverse function under the \textit{EA}-equivalence
• Low \(c\)-differential and \(c\)-boomerang uniformity of the swapped inverse function
• Several classes of PcN power functions over finite fields
• Low \(c\)-differential uniformity for functions modified on subfields
• The binary Gold function and its \(c\)-boomerang connectivity table
• Characters, Weil sums and \(c\)-differential uniformity with an application to the perturbed Gold function
• On \((-1)\)-differential uniformity of ternary APN power functions
• Survey on recent trends towards generalized differential and boomerang uniformities
• On the \(c\)-differential uniformity of certain maps over finite fields
• Investigations on \(c\)-boomerang uniformity and perfect nonlinearity
• Boomerang uniformity of a class of power maps
• New P\(c\)N and AP\(c\)N functions over finite fields
• On construction and (non)existence of \(c\)-(almost) perfect nonlinear functions
• On the \(c\)-differential spectrum of power functions over finite fields
• The Arithmetic of Elliptic Curves
• The c-Differential Uniformity and Boomerang Uniformity of Two Classes of Permutation Polynomials
• Investigations on c-(Almost) Perfect Nonlinear Functions
• C-Differentials, Multiplicative Uniformity, and (Almost) Perfect c-Nonlinearity
• Pairs of Quadratic Equations in a Finite Field

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