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Extending two families of bivariate APN functions - MaRDI portal

Extending two families of bivariate APN functions (Q2701060)

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Language	Label	Description	Also known as
English	Extending two families of bivariate APN functions	scientific article

Statements

scholarly article

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Extending two families of bivariate APN functions (English)

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Marco Calderini

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Finite Fields and their Applications

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publication date

27 April 2023

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zbMATH Keywords

index terms: APN family

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biprojective polynomial

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adding term

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CCZ-inequivalent

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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.2023.102190

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Differential cryptanalysis of DES-like cryptosystems

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

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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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Generalized isotopic shift construction for APN functions

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Classes of Quadratic APN Trinomials and Hexanomials and Related Structures

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Two Classes of Quadratic APN Binomials Inequivalent to Power Functions

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Constructing new APN functions from known ones

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New classes of almost bent and almost perfect nonlinear polynomials

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A New Family of APN Quadrinomials

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On known constructions of APN and AB functions and their relation to each other

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

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

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Quadratic zero-difference balanced functions, APN functions and strongly regular graphs

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A class of functions and their application in constructing semi-biplanes and association schemes

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

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Dimensional dual hyperovals and APN functions with translation groups

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

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Biprojective Almost Perfect Nonlinear Functions

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On CCZ-inequivalence of some families of almost perfect nonlinear functions to permutations

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On the equation \(x^{2^l+1}+x+a=0\) over \(\mathrm{GF}(2^k)\)

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Two New Families of Quadratic APN Functions

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On some quadratic APN functions

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Note on cubics over \(GF(2^n)\) and \(GF(3^n)\)

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A new family of semifields with 2 parameters

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Equivalences of quadratic APN functions

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Equivalences of power APN functions with power or quadratic APN functions

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Identifiers

10.1016/j.ffa.2023.102190

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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:2701060

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