Involutory differentially 4-uniform permutations from known constructions (Q1755990)

scientific article; zbMATH DE number 7000568

Language	Label	Description	Also known as
English	Involutory differentially 4-uniform permutations from known constructions	scientific article; zbMATH DE number 7000568

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instance of

scholarly article

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title

Involutory differentially 4-uniform permutations from known constructions (English)

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Designs, Codes and Cryptography

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publication date

11 January 2019

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zbMATH Keywords

involution

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differentially 4-uniform permutation

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nonlinearity

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permutation

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algebraic degree

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describes a project that uses

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full work available at URL

https://doi.org/10.1007/s10623-018-0482-5

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cites work

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Fast Software Encryption

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

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Differential cryptanalysis of DES-like cryptosystems

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Binomial differentially 4 uniform permutations with high nonlinearity

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Q3081626

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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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A Generalisation of Dillon's APN Permutation With the Best Known Differential and Nonlinear Properties for All Fields of Size $2^{4k+2}$

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On the Behaviors of Affine Equivalent Sboxes Regarding Differential and Linear Attacks

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New Construction of Differentially 4-Uniform Bijections

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Q4365754

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

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

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Q4370894

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

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Q4484885

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Proceedings of the IEEE international symposium on information theory, ISIT 2012, Cambridge, MA, USA, July 1--6, 2012

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Higher Order Derivatives and Differential Cryptanalysis

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On EA-equivalence of certain permutations to power mappings

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Permutation polynomials EA-equivalent to the inverse function over $\mathrm{GF}(2^n)$

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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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Q4934705

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Q4146667

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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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Cryptanalysis of a Theorem: Decomposing the Only Known Solution to the Big APN Problem

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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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Differentially 4-uniform bijections by permuting the inverse function

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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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Identifiers

zbMATH Open document ID

1403.94058

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Mathematics Subject Classification ID

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10.1007/S10623-018-0482-5

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Sitelinks

Mathematics(1 entry)

mardi Publication:1755990