Cryptology ePrint Archive: Report 2010/415

Perfectly Balanced Boolean Functions and Goli\'c Conjecture

Stanislav Smyshlyaev

Abstract: Goli\'c conjecture states that the necessary condition for a function to be perfectly balanced for any choice of a tapping sequence is linearity of a function in the first or in the last essential variable. In the current paper we prove Goli\'c conjecture.

Category / Keywords: foundations / Boolean function, perfectly balanced function, keystream generator, stream ciphers, nonlinear filter, Goli\'c conjecture

Date: received 25 Jul 2010

Contact author: smyshsv at gmail com

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Version: 20100726:035848 (All versions of this report)

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