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JOURNALS // Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography] // Archive

Mat. Vopr. Kriptogr., 2017 Volume 8, Issue 4, Pages 75–98 (Mi mvk240)

This article is cited in 4 papers

The sum of modules of Walsh coefficients for some balanced Boolean functions

O. V. Kamlovskii

Certification Research Center, LLC, Moscow

Abstract: We consider the following balanced Boolean functions: a) constructed from normal bent-function by the Dobbertin method, b) majority function, c) functions whose units values are located consequentially in the truth table. Exact formulas and bounds for sums of modules of Walsh coefficients are obtained.

Key words: Boolean functions, Walsh coefficients, filtering generators, combining generators.

UDC: 519.12+519.719.2

Received 11.V.2017

DOI: 10.4213/mvk240



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