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Fundamentalnaya i Prikladnaya Matematika, 2015, Volume 20, Issue 6, Pages 147–153 (Mi fpm1690)  
Complexity and structure of circuits for parity functions

Yu. A. Kombarov

Lomonosov Moscow State University
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Abstract: The paper is devoted to circuits implementing parity functions. A review of results establishing exact values of the complexity of parity functions is given. The structure of optimal circuits implementing parity functions is described for some bases. For one infinite basis, an upper bound for the complexity of parity functions is given.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00598_a
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 233, Issue 1, Pages 95–99
DOI: https://doi.org/10.1007/s10958-018-3926-6
Document Type: Article
UDC: 519.95
Language: Russian
Citation: Yu. A. Kombarov, “Complexity and structure of circuits for parity functions”, Fundam. Prikl. Mat., 20:6 (2015), 147–153; J. Math. Sci., 233:1 (2018), 95–99
Citation in format AMSBIB
\Bibitem{Kom15}
\by Yu.~A.~Kombarov
\paper Complexity and structure of circuits for parity functions
\jour Fundam. Prikl. Mat.
\yr 2015
\vol 20
\issue 6
\pages 147--153
\mathnet{http://mi.mathnet.ru/fpm1690}
\transl
\jour J. Math. Sci.
\yr 2018
\vol 233
\issue 1
\pages 95--99
\crossref{https://doi.org/10.1007/s10958-018-3926-6}
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    		Фундаментальная и прикладная математика
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