Weightwise perfectly balanced functions and nonlinearity (Q6057234)

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scientific article; zbMATH DE number 7745645

Language	Label	Description	Also known as
English	Weightwise perfectly balanced functions and nonlinearity	scientific article; zbMATH DE number 7745645

Statements

scholarly article

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Weightwise perfectly balanced functions and nonlinearity (English)

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Pierrick Méaux

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Codes, Cryptology and Information Security

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publication date

4 October 2023

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-3-031-33017-9_21

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On the Algebraic Immunity of Symmetric Boolean Functions

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On the Degree, Nonlinearity, Algebraic Thickness, and Nonnormality of Boolean Functions, With Developments on Symmetric Functions

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Boolean Functions for Cryptography and Coding Theory

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A Complete Study of Two Classes of Boolean Functions: Direct Sums of Monomials and Threshold Functions

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Symmetric Boolean Functions

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Basic theory in construction of Boolean functions with maximum possible annihilator immunity

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On the weightwise nonlinearity of weightwise perfectly balanced functions

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Weightwise almost perfectly balanced functions: secondary constructions for all \(n\) and better weightwise nonlinearities

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Construction of weightwise almost perfectly balanced Boolean functions on an arbitrary number of variables

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Weightwise perfectly balanced functions with high weightwise nonlinearity profile

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Construction of weightwise perfectly balanced Boolean functions with high weightwise nonlinearity

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On the fast algebraic immunity of threshold functions

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Towards Stream Ciphers for Efficient FHE with Low-Noise Ciphertexts

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Tools in analyzing linear approximation for Boolean functions related to FLIP

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Modifying bent functions to obtain the balanced ones with high nonlinearity

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On constructions of weightwise perfectly balanced Boolean functions

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Concrete constructions of weightwise perfectly balanced (2-rotation symmetric) functions with optimal algebraic immunity and high weightwise nonlinearity

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Constructing Symmetric Boolean Functions With Maximum Algebraic Immunity

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On ``bent'' functions

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Balancedness and correlation immunity of symmetric Boolean functions

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A family of weightwise (almost) perfectly balanced Boolean functions with optimal algebraic immunity

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A new construction of weightwise perfectly balanced Boolean functions

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A systematic method of constructing weightwise almost perfectly balanced Boolean functions on an arbitrary number of variables

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Identifiers

zbMATH Open document ID

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10.1007/978-3-031-33017-9_21

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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:6057234

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