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О приближении дискретных функций линейными функциями - MaRDI portal

О приближении дискретных функций линейными функциями (Q3381850)

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Language	Label	Description	Also known as
English	О приближении дискретных функций линейными функциями	scientific article

Statements

scholarly article

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О приближении дискретных функций линейными функциями (English)

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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography]

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publication date

20 September 2021

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full work available at URL

http://mathnet.ru/eng/mvk202

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zbMATH Keywords

discrete functions

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perfect nonlinear functions

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functions over quasigroups

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MaRDI profile type

MaRDI publication profile

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О методах построения систем ортогональных квазигрупп с использованием групп

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Комбинаторные свойства дифференциально $2$-равномерных подстановок

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Bent functions from a finite abelian group into a finite abelian group

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О примарных функциях, минимально близких к линейным

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A few more functions that are not APN infinitely often

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

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On Almost Perfect Nonlinear Permutations

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New semifields, PN and APN functions

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On \(x^{q+1}+ax+b\)

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Determining the Nonlinearity of a New Family of APN Functions

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New families of quadratic almost perfect nonlinear trinomials and multinomials

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A few more quadratic APN functions

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On a class of quadratic polynomials with no zeros and its application to APN functions

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On the classification of APN functions up to dimension five

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New classes of almost bent and almost perfect nonlinear polynomials

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Two Classes of Quadratic APN Binomials Inequivalent to Power Functions

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The Simplest Method for Constructing APN Polynomials EA-Inequivalent to Power Functions

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Classes of Quadratic APN Trinomials and Hexanomials and Related Structures

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Constructing new APN functions from known ones

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New commutative semifields defined by new PN multinomials

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

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Linear Codes From Perfect Nonlinear Mappings and Their Secret Sharing Schemes

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Relating three nonlinearity parameters of vectorial functions and building APN functions from bent functions

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Open Questions on Nonlinearity and on APN Functions

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Planar polynomials for commutative semifields with specified nuclei

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On the classification of planar monomials over fields of square order

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Planar functions and planes of Lenz-Barlotti class II

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Planes of order \(n\) with collineation groups of order \(n^ 2\)

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A family of skew Hadamard difference sets

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

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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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APN functions in odd characteristic

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A new APN function which is not equivalent to a power mapping

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A new almost perfect nonlinear function which is not quadratic

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

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Theory of transformation groups of polynomials over \(\mathrm{GF}(2)\) with applications to linear shift register sequences

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Some power mappings with low differential uniformity

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On the classification of exceptional planar functions over \(\mathbb F_p\)

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APN monomials over \(\mathrm{GF}(2^n)\) for infinitely many \(n\)

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

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Crooked maps in \(\mathbb F_{2^n}\)

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Bounds on the degree of APN polynomials: the case of \(x^{-1} + g(x)\)

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Functions which are PN on infinitely many extensions of \(\mathbb F_p\), \(p\) odd

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A New Family of Ternary Almost Perfect Nonlinear Mappings

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Perfect nonlinear S-boxes

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Nonlinear functions in abelian groups and relative difference sets.

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Functions of degree \(4e\) that are not APN infinitely often

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On ``bent'' functions

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Planar functions over fields of characteristic two

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A matrix approach for constructing quadratic APN functions

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Perfect nonlinear binomials and their semifields

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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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Sitelinks

Mathematics(1 entry)

mardi Publication:3381850

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