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Implicit Quadratic Property of Differentially 4-Uniform Permutations - MaRDI portal

Implicit Quadratic Property of Differentially 4-Uniform Permutations (Q3179495)

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Language	Label	Description	Also known as
English	Implicit Quadratic Property of Differentially 4-Uniform Permutations	scientific article

Statements

scholarly article

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Implicit Quadratic Property of Differentially 4-Uniform Permutations (English)

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Theo Fanuela Prabowo

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Progress in Cryptology – INDOCRYPT 2016

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publication date

21 December 2016

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zbMATH Keywords

cryptography

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S-box

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implicitly quadratic functions

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implicit quadratic property

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differentially 4-uniform permutations

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algebraic attack

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-3-319-49890-4_20

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Fast Software Encryption

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Differential properties of power functions

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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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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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New Construction of Differentially 4-Uniform Bijections

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Fast Software Encryption

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On Exact Algebraic [Non-]Immunity of S-Boxes Based on Power Functions

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Cryptanalysis of Block Ciphers with Overdefined Systems of Equations

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

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Algebraic Immunity of S-Boxes Based on Power Mappings: Analysis and Construction

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

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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

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10.1007/978-3-319-49890-4_20

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:3179495

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