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

DOI10.1016/j.dam.2021.10.011OpenAlexW3213285982MaRDI QIDQ2057595

Xiaoqi Guo, Sihong Su

Publication date: 7 December 2021

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2021.10.011

zbMATH Keywords

Boolean functionsFLIP cipher\(k\)-Hamming weightweightwise (almost) perfectly balancedness

Mathematics Subject Classification ID

Cryptography (94A60) Boolean functions (94D10)

Related Items (3)

A systematic method of constructing weightwise almost perfectly balanced Boolean functions on an arbitrary number of variables ⋮ Weightwise perfectly balanced functions and nonlinearity ⋮ Weightwise almost perfectly balanced functions: secondary constructions for all \(n\) and better weightwise nonlinearities

Cites Work

• On the nonlinearity of Boolean functions with restricted input
• Weightwise perfectly balanced functions with high weightwise nonlinearity profile
• 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
• Towards Stream Ciphers for Efficient FHE with Low-Noise Ciphertexts
• Cryptanalysis of the FLIP Family of Stream Ciphers

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