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Problemy Peredachi Informatsii, 1999, Volume 35, Issue 4, Pages 3–11 (Mi ppi457)  
This article is cited in 3 scientific papers (total in 3 papers)

Information Theory and Coding Theory

New Lower Bounds for Contact Numbers in Small Dimensions

V. A. Zinov'ev, T. Ericson
Full-text PDF (877 kB) Citations (3)
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Abstract: We consider several new constructions for spherical codes. As an example of their application, we obtain two new spherical codes for dimensions 13 and 14, which improve known lower bounds for contact numbers in these dimensions.
Received: 13.10.1998
Revised: 23.02.1999
Bibliographic databases:
Document Type: Article
UDC: 621.391.15
Language: Russian
Citation: V. A. Zinov'ev, T. Ericson, “New Lower Bounds for Contact Numbers in Small Dimensions”, Probl. Peredachi Inf., 35:4 (1999), 3–11; Problems Inform. Transmission, 35:4 (1999), 287–294
Citation in format AMSBIB
\Bibitem{ZinEri99}
\by V.~A.~Zinov'ev, T.~Ericson
\paper New Lower Bounds for Contact Numbers in Small Dimensions
\jour Probl. Peredachi Inf.
\yr 1999
\vol 35
\issue 4
\pages 3--11
\mathnet{http://mi.mathnet.ru/ppi457}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1737742}
\zmath{https://zbmath.org/?q=an:0983.94057}
\transl
\jour Problems Inform. Transmission
\yr 1999
\vol 35
\issue 4
\pages 287--294
Linking options:
  • https://www.mathnet.ru/eng/ppi457
  • https://www.mathnet.ru/eng/ppi/v35/i4/p3
    • This publication is cited in the following 3 articles:
    1. A. V. Kostin, N. N. Kostina, “Zadacha Tammesa i kontaktnoe chislo sfery v prostranstvakh postoyannoi krivizny”, Trudy mezhdunarodnoi konferentsii «Klassicheskaya i sovremennaya geometriya», posvyaschennoi 100-letiyu so dnya rozhdeniya professora Vyacheslava Timofeevicha Bazyleva. Moskva, 22–25 aprelya 2019 g. Chast 4, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 182, VINITI RAN, M., 2020, 45–50  mathnet  crossref  mathscinet
    2. Machado F.C., de Oliveira Filho F.M., “Improving the Semidefinite Programming Bound For the Kissing Number By Exploiting Polynomial Symmetry”, Exp. Math., 27:3 (2018), 362–369  crossref  mathscinet  zmath  isi  scopus
    3. Cohn H., Jiao Ya., Kumar A., Torquato S., “Rigidity of spherical codes”, Geometry & Topology, 15:4 (2011), 2235–2274  crossref  mathscinet  isi
    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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    Abstract page:1558
    Full-text PDF :343
    References:88
    First page:2
     
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