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Diskretnyi Analiz i Issledovanie Operatsii, 2012, Volume 19, Issue 1, Pages 3–16 (Mi da673)  
This article is cited in 6 scientific papers (total in 6 papers)

On reconstructive sets of vertices in the Boolean cube

A. Yu. Vasil'eva

S. L. Sobolev Institute of Mathematics, SB RAS, Novosibirsk, Russia
Full-text PDF (277 kB) Citations (6)
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Abstract: The notion of a reconstructive set of the Boolean cube is introduced in terms of Fourier transform. The characterization of linear reconstructive sets is obtained. Necessary and sufficient conditions of the reconstructivity of a sphere are established. Sufficient conditions of the reconstructivity of two concentric spheres are found. Bibliogr. 9.
Keywords: Fourier transform, reconstructive set, linear subspace, Krawtchouk polynomial, Johnson scheme.
Received: 25.05.2011
Revised: 09.09.2011
English version:
Journal of Applied and Industrial Mathematics, 2012, Volume 6, Issue 3, Pages 393–402
DOI: https://doi.org/10.1134/S1990478912030155
Bibliographic databases:
Document Type: Article
UDC: 519.8
Language: Russian
Citation: A. Yu. Vasil'eva, “On reconstructive sets of vertices in the Boolean cube”, Diskretn. Anal. Issled. Oper., 19:1 (2012), 3–16; J. Appl. Industr. Math., 6:3 (2012), 393–402
Citation in format AMSBIB
\Bibitem{Vas12}
\by A.~Yu.~Vasil'eva
\paper On reconstructive sets of vertices in the Boolean cube
\jour Diskretn. Anal. Issled. Oper.
\yr 2012
\vol 19
\issue 1
\pages 3--16
\mathnet{http://mi.mathnet.ru/da673}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2961448}
\transl
\jour J. Appl. Industr. Math.
\yr 2012
\vol 6
\issue 3
\pages 393--402
\crossref{https://doi.org/10.1134/S1990478912030155}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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