A new construction of weightwise perfectly balanced Boolean functions

DOI10.3934/amc.2021020zbMath1520.94124MaRDI QIDQ6112267

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Publication date: 7 July 2023

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

zbMATH Keywords

Boolean functionsalgebraic immunityalgebraic degreeweightwise nonlinearityweightwise perfectly balancednessFLIP

Mathematics Subject Classification ID

Cryptography (94A60) Boolean functions (94D10)

Related Items (3)

Weightwise perfectly balanced functions and nonlinearity ⋮ A unified construction of weightwise perfectly balanced Boolean functions ⋮ Weightwise almost perfectly balanced functions: secondary constructions for all \(n\) and better weightwise nonlinearities

Cites Work

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• On the nonlinearity of Boolean functions with restricted input
• The lower bound of the weightwise nonlinearity profile of a class of weightwise perfectly balanced functions
• On constructions of weightwise perfectly balanced Boolean functions
• A family of weightwise (almost) perfectly balanced Boolean functions with optimal algebraic immunity
• Construction of weightwise perfectly balanced Boolean functions with high weightwise nonlinearity
• An orthogonal basis for functions over a slice of the Boolean hypercube
• Towards Stream Ciphers for Efficient FHE with Low-Noise Ciphertexts
• Cryptanalysis of the FLIP Family of Stream Ciphers
• Friedgut--Kalai--Naor theorem for slices of the Boolean cube

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