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JOURNALS // Prikladnaya Diskretnaya Matematika // Archive

Prikl. Diskr. Mat., 2011 Number 4(14), Pages 11–21 (Mi pdm349)

This article is cited in 1 paper

Theoretical Foundations of Applied Discrete Mathematics

Locally invertible Boolean functions

S. V. Smyshlyaev

M. V. Lomonosov Moscow State University, Moscow, Russia

Abstract: The property of local invertibility of Boolean functions is considered. A number of necessary conditions of local invertibility is proven; they can be used to construct functions that are not locally invertible. We prove a new criterion of local invertibility connecting this property with some properties of Boolean functions with barrier.

Keywords: perfectly balanced functions, barriers of Boolean functions, local invertibility, cryptography.

UDC: 519.7



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