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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2022, Volume 214, Pages 37–43
DOI: https://doi.org/10.36535/0233-6723-2022-214-37-43 (Mi into1058) 		 
On the class of polynomially stable Boolean functions

O. V. Zubkov

Irkutsk State University
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DOI: https://doi.org/10.36535/0233-6723-2022-214-37-43
Abstract: The basic properties of polynomially stable Boolean functions are examined. We prove that any polynomially stable function can be represented as the sum of terms that are nonrepetitive in an elementary basis. Relationships between polynomially stable and symmetric Boolean functions are discussed and a criterion for polynomial stability is proved.
Keywords: operator for Boolean functions, Zhegalkin polynomial, repetition-free formula, polynomial stability, symmetric Boolean function, weight of a binary set.
Document Type: Article
UDC: 519.714.24
MSC: 93B50
Language: Russian
Citation: O. V. Zubkov, “On the class of polynomially stable Boolean functions”, Algebra, Geometry, and Combinatorics, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 214, VINITI, Moscow, 2022, 37–43
Citation in format AMSBIB
\Bibitem{Zub22}
\by O.~V.~Zubkov
\paper On the class of polynomially stable Boolean functions
\inbook Algebra, Geometry, and Combinatorics
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2022
\vol 214
\pages 37--43
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1058}
\crossref{https://doi.org/10.36535/0233-6723-2022-214-37-43}
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