On CCZ-equivalence between the Bracken-Tan-Tan function and power functions (Q6185650)

scientific article; zbMATH DE number 7785005

Language	Label	Description	Also known as
English	On CCZ-equivalence between the Bracken-Tan-Tan function and power functions	scientific article; zbMATH DE number 7785005

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instance of

scholarly article

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title

On CCZ-equivalence between the Bracken-Tan-Tan function and power functions (English)

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Finite Fields and their Applications

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publication date

8 January 2024

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zbMATH Keywords

differential uniformity

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boomerang uniformity

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permutations

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EA-equivalence

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CCZ-equivalent

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.ffa.2023.102340

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cites work

On Almost Perfect Nonlinear Permutations

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Differential cryptanalysis of DES-like cryptosystems

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A highly nonlinear differentially 4 uniform power mapping that permutes fields of even degree

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Binomial differentially 4 uniform permutations with high nonlinearity

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Q3062262

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Two Classes of Quadratic APN Binomials Inequivalent to Power Functions

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New classes of almost bent and almost perfect nonlinear polynomials

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On Known and New Differentially Uniform Functions

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Codes, bent functions and permutations suitable for DES-like cryptosystems

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New Construction of Differentially 4-Uniform Bijections

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Boomerang Connectivity Table: a new cryptanalysis tool

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CCZ equivalence of power functions

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One-to-one highly nonlinear power functions on $\mathrm{GF}(2^n)$

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Involutory differentially 4-uniform permutations from known constructions

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Maximal recursive sequences with 3-valued recursive cross-correlation functions (Corresp.)

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The weight enumerators for several classes of subcodes of the 2nd order binary Reed-Muller codes

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More low differential uniformity permutations over $\mathbb{F}_{2^{2 k}}$ with $k$ odd

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Constructing differentially 4-uniform permutations over $\mathrm{GF}(2^{2m})$ from quadratic APN permutations over $\mathrm{GF}(2^{2m+1})$

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On the boomerang uniformity of quadratic permutations

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Q4934708

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New explicit constructions of differentially 4-uniform permutations via special partitions of $\mathbb{F}_{2^{2 k}}$

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New differentially 4-uniform permutations by modifying the inverse function on subfields

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A new family of differentially 4-uniform permutations over $\mathbb{F}_{2^{2k}}$ for odd $k$

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More constructions of differentially 4-uniform permutations on $\mathbb {F}_{2^{2k}}$

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Constructing Differentially 4-Uniform Permutations Over <formula formulatype="inline"><tex Notation="TeX">${\BBF}_{2^{2k}}$</tex> </formula> via the Switching Method

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A method to calculate differential uniformity for permutations

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Differential uniformity of the composition of two functions

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Constructing new differentially 4-uniform permutations from known ones

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Differentially 4-uniform bijections by permuting the inverse function

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Q4941810

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On the construction of differentially 4-uniform involutions

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Constructing new differentially 4-uniform permutations from the inverse function

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Further results on differentially 4-uniform permutations over $\mathbb{F}_{2^{2m}}$

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Some Binomial and Trinomial Differentially 4-Uniform Permutation Polynomials

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.FFA.2023.102340

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Sitelinks

Mathematics(1 entry)

mardi Publication:6185650