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

Mat. Vopr. Kriptogr., 2011 Volume 2, Issue 2, Pages 41–53 (Mi mvk30)

This article is cited in 4 papers

Spectrum of random Boolean function and its generating function

G. I. Ivchenko, Yu. I. Medvedev

Academy of Cryptography of Russian Federation, Moscow

Abstract: Properties of spectrum of random Boolean function of $n$ variables are investigated. Joint generating function of spectrum elements is defined and exact and asymptotic distributions of some spectrum characteristics for $n\to\infty$ are obtained.

Key words: Boolean function, Walch transform, spectrum of function, generating function of spectrum, spectrum characteristics, limit theorems.

UDC: 519.212.2

Received 22.IV.2010

DOI: 10.4213/mvk30



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