M. A. Alekhina, O. Yu. Barsukova, “Upper bound of unreliability of circuits in a basis consisting of Webb function”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 3, 15–27; Russian Math. (Iz. VUZ), 59:3 (2015), 13

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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, Number 3, Pages 15–27 (Mi ivm8979)

This article is cited in 9 scientific papers (total in 9 papers)

Upper bound of unreliability of circuits in a basis consisting of Webb function

M. A. Alekhina, O. Yu. Barsukova

Chair of Discrete Mathematics, Penza State University, 40 Krasnaya str., Penza, 440026 Russia

Full-text PDF (350 kB) Citations (9)

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Abstract: We consider a realization of ternary logics functions by the circuits with unreliable functional gates in the basis which consists of the Webb function. It is assumed that all gates are supposed to faults on the outputs and they go to the faulty states independently. We present a method for the synthesis of reliable circuits and an upper bound for the unreliability this circuits.

Keywords: ternary logics function, functional elements circuit, unreliability of a circuit.

Received: 06.09.2013

English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2015, Volume 59, Issue 3, Pages 13–24
DOI: https://doi.org/10.3103/S1066369X15030020

Bibliographic databases:

Document Type: Article

UDC: 519.718

Language: Russian

Citation: M. A. Alekhina, O. Yu. Barsukova, “Upper bound of unreliability of circuits in a basis consisting of Webb function”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 3, 15–27; Russian Math. (Iz. VUZ), 59:3 (2015), 13–24

Citation in format AMSBIB

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\jour Izv. Vyssh. Uchebn. Zaved. Mat.

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\pages 15--27

\mathnet{http://mi.mathnet.ru/ivm8979}

\transl

\jour Russian Math. (Iz. VUZ)

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\issue 3

\pages 13--24

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Linking options:

https://www.mathnet.ru/eng/ivm8979

https://www.mathnet.ru/eng/ivm/y2015/i3/p15

This publication is cited in the following 9 articles:

Alekhina M., Barsukova O., “Asymptotically Optimum on Unreliability Circuits in the Basis Consisting of the Webb Function in P-K Under Failures of K-1 Type At the Outputs of Elements”, Lobachevskii J. Math., 42:1 (2021), 50–56
M. A. Alekhina, O. Yu. Barsukova, “Synthesis of reliable circuits in the basis consisting of the Webb function in $P_k$ ”, Russian Math. (Iz. VUZ), 63:7 (2019), 12–23
O. Barsukova, M. Alekhina, “Synthesis of Reliable Circuits in the Basis Consisting of the Webb Function in P-4 and P-5”, Lobachevskii J. Math., 40:2 (2019), 140–148
M. A. Alekhina, O. Yu. Barsukova, “Asymptotically optimal in reliability circuits in two bases under failures of $0$ ( $k-1$ ) type at the outputs of elements”, Russian Math. (Iz. VUZ), 62:5 (2018), 1–9
M. Alekhina, O. Barsukova, “Upper bound of the circuits unreliability in a complete finite basis (in $P_3$ ) with arbitrary faults of elements”, Lobachevskii J. Math., 39:1, SI (2018), 13–19
M. A. Alekhina, “Rekurrentnye sootnosheniya dlya nenadezhnostei skhem pri odnotipnykh konstantnykh neispravnostyakh tipov $0$ i ( $k-1$ ) v bazise, sostoyaschem iz funktsii Vebba, v $P_k$ ”, Izvestiya vysshikh uchebnykh zavedenii. Povolzhskii region. Fiziko-matematicheskie nauki, 2018, no. 4, 78–83
M. A. Alekhina, “O skheme, povyshayuschei nadezhnost v bazise, sostoyaschem iz funktsii Vebba, v $P_{k}$ ”, Izvestiya vysshikh uchebnykh zavedenii. Povolzhskii region. Fiziko-matematicheskie nauki, 2017, no. 4, 70–75
M. A. Alekhina, “Rekurrentnye sootnosheniya dlya nenadezhnostei skhem v bazise, sostoyaschem iz funktsii Vebba, v $P_4$ i $P_5$ ”, Izvestiya vysshikh uchebnykh zavedenii. Povolzhskii region. Fiziko-matematicheskie nauki, 2016, no. 3, 19–30
M. A. Alekhina, O. Yu. Barsukova, “Nizhnyaya otsenka nenadezhnosti skhem v bazise, sostoyaschem iz funktsii Vebba”, PDM. Prilozhenie, 2015, no. 8, 102–103

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Известия высших учебных заведений. Математика

Russian Mathematics (Izvestiya VUZ. Matematika)

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