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Problemy Peredachi Informatsii, 2022, Volume 58, Issue 4, Pages 50–61
DOI: https://doi.org/10.31857/S0555292322040052 (Mi ppi2383) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Coding Theory

Nonoverlapping convex polytopes with vertices in a Boolean cube and other problems in coding theory

A. Janabekovaa, G. A. Kabatianskyb, I. Kamelc, T. F. Rabiec

a Interfaculty Department of Information Transmission Problems and Data Analysis, Moscow Institute of Physics and Technology (State University), Moscow, Russia
b Skolkovo Institute of Science and Technology (Skoltech), Moscow, Russia
c University of Sharjah, University City, Sharjah, United Arab Emirates
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DOI: https://doi.org/10.31857/S0555292322040052
Abstract: We establish relations between several problems that are quite far from each other at first glance and formulate a number of open problems.
Keywords: convex polytopes, Boolean cube, group testing, counterfeit coin detection, signature codes for noisy multiple access channels, multimedia digital fingerprinting codes, vector support recovery by linear measurements against noise.
Funding agency Grant number
Russian Science Foundation 22-41-02028
The research of G.A. Kabatiansky was was carried out at the expense of the Russian Science Foundation, project no. 22-41-02028.
Received: 01.11.2022
Revised: 22.11.2022
Accepted: 23.11.2022
English version:
Problems of Information Transmission, 2022, Volume 58, Issue 4, Pages 341–351
DOI: https://doi.org/10.1134/S0032946022040056
Bibliographic databases:
Document Type: Article
UDC: 621.391 : 519.72
Language: Russian
Citation: A. Janabekova, G. A. Kabatiansky, I. Kamel, T. F. Rabie, “Nonoverlapping convex polytopes with vertices in a Boolean cube and other problems in coding theory”, Probl. Peredachi Inf., 58:4 (2022), 50–61; Problems Inform. Transmission, 58:4 (2022), 341–351
Citation in format AMSBIB
\Bibitem{JanKabKam22}
\by A.~Janabekova, G.~A.~Kabatiansky, I.~Kamel, T.~F.~Rabie
\paper Nonoverlapping convex polytopes with vertices in a Boolean cube and other problems in coding theory
\jour Probl. Peredachi Inf.
\yr 2022
\vol 58
\issue 4
\pages 50--61
\mathnet{http://mi.mathnet.ru/ppi2383}
\crossref{https://doi.org/10.31857/S0555292322040052}
\edn{https://elibrary.ru/ECJVMW}
\transl
\jour Problems Inform. Transmission
\yr 2022
\vol 58
\issue 4
\pages 341--351
\crossref{https://doi.org/10.1134/S0032946022040056}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Проблемы передачи информации Problems of Information Transmission
     
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