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Non-monomial permutations with differential uniformity six - MaRDI portal

Non-monomial permutations with differential uniformity six (Q1621197)

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scientific article; zbMATH DE number 6975306

Language	Label	Description	Also known as
English	Non-monomial permutations with differential uniformity six	scientific article; zbMATH DE number 6975306

Statements

scholarly article

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Non-monomial permutations with differential uniformity six (English)

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Journal of Systems Science and Complexity

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publication date

8 November 2018

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zbMATH Keywords

algebraic degree

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differential spectrum

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differential uniformity

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permutation

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MaRDI profile type

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full work available at URL

https://doi.org/10.1007/s11424-017-6294-2

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Differential cryptanalysis of DES-like cryptosystems

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On Almost Perfect Nonlinear Permutations

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Almost perfect nonlinear power functions on GF(2/sup n/): the Welch case

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Almost perfect nonlinear power functions on \(\mathrm{GF}(2^n)\): the Niho case.

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New families of almost perfect nonlinear power mappings

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New classes of almost bent and almost perfect nonlinear polynomials

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On Almost Perfect Nonlinear Functions Over$mmb F_2^n$

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New families of quadratic almost perfect nonlinear trinomials and multinomials

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Classes of Quadratic APN Trinomials and Hexanomials and Related Structures

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

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On Known and New Differentially Uniform Functions

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Binomial differentially 4 uniform permutations with high nonlinearity

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More constructions of APN and differentially 4-uniform functions by concatenation

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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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Constructing new differentially 4-uniform permutations from the inverse function

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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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Differentially 4-uniform bijections by permuting the inverse function

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

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Differential Properties of ${x\mapsto x^{2^{t}-1}}$

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More differentially 6-uniform power functions

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

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A new almost perfect nonlinear function which is not quadratic

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Constructing permutations of finite fields via linear translators

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S11424-017-6294-2

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Sitelinks

Mathematics(1 entry)

mardi Publication:1621197

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