On the nonlinearity of monotone Boolean functions

DOI10.1007/s12095-017-0262-5zbMath1419.94032OpenAlexW2765984615MaRDI QIDQ1667447

Claude Carlet

Publication date: 28 August 2018

Published in: Cryptography and Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12095-017-0262-5

zbMATH Keywords

nonlinearityBoolean functionsmonotone functionsWalsh-Hadamard spectrum

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Boolean functions (06E30)

Related Items

Separation results for Boolean function classes ⋮ On the number of the rational zeros of linearized polynomials and the second-order nonlinearity of cubic Boolean functions

Uses Software

• JBool

Cites Work

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• Cryptographic properties of monotone Boolean functions
• Basic theory in construction of Boolean functions with maximum possible annihilator immunity
• On the Fourier spectrum of monotone functions
• On the noise sensitivity of monotone functions
• On cryptographic properties of the cosets of R(1, m)