Hadamard matrices, \(d\)-linearly independent sets and correlation-immune Boolean functions with minimum Hamming weights

DOI10.1007/s10623-019-00620-1zbMath1419.94098OpenAlexW2798612817WikidataQ128389975 ScholiaQ128389975MaRDI QIDQ2324768

Qichun Wang

Publication date: 12 September 2019

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

Full work available at URL: https://doi.org/10.1007/s10623-019-00620-1

zbMATH Keywords

Hadamard matricesBoolean functionsminimum-weight\(d\)-linearly independent setscorrelation-immune

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Switching theory, applications of Boolean algebras to circuits and networks (94C11) Boolean functions (94D10)

Related Items (2)

Simplicity conditions for binary orthogonal arrays ⋮ New characterizations for the multi-output correlation-immune Boolean functions

Cites Work

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• Hadamard matrices of order 764 exist
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• On the Covering Radii of Binary Reed–Muller Codes in the Set of Resilient Boolean Functions
• A spectral characterization of correlation-immune combining functions
• Cyclotomic integers and finite geometry
• Power Analysis Attacks
• A Hadamard matrix of order 428

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