Weightwise perfectly balanced functions with high weightwise nonlinearity profile

DOI10.1007/s10623-018-0579-xzbMath1453.94101arXiv1709.02959OpenAlexW2963732009WikidataQ128953243 ScholiaQ128953243MaRDI QIDQ1999900

Jian Liu, Sihem Mesnager

Publication date: 27 June 2019

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.02959

zbMATH Keywords

Boolean functionFLIP cipherweightwise nonlinearityweightwise perfectly balance

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Boolean functions (94D10)

Related Items (11)

On constructions of weightwise perfectly balanced Boolean functions ⋮ A systematic method of constructing weightwise almost perfectly balanced Boolean functions on an arbitrary number of variables ⋮ A family of weightwise (almost) perfectly balanced Boolean functions with optimal algebraic immunity ⋮ Construction of weightwise perfectly balanced Boolean functions with high weightwise nonlinearity ⋮ 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 ⋮ The lower bound of the weightwise nonlinearity profile of a class of weightwise perfectly balanced functions ⋮ Construction of weightwise almost perfectly balanced Boolean functions on an arbitrary number of variables ⋮ On the weightwise nonlinearity of weightwise perfectly balanced functions ⋮ Concrete constructions of weightwise perfectly balanced (2-rotation symmetric) functions with optimal algebraic immunity and high weightwise nonlinearity

Uses Software

• Grain

Cites Work

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• A secondary construction and a transformation on rotation symmetric functions, and their action on bent and semi-bent functions
• Results on rotation-symmetric S-boxes
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• 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
• Systematic Constructions of Rotation Symmetric Bent Functions, 2-Rotation Symmetric Bent Functions, and Bent Idempotent Functions
• Invariance principle on the slice
• Harmonicity and invariance on slices of the Boolean cube
• Galois LFSR, Embedded Devices and Side Channel Weaknesses

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