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Probl. Peredachi Inf., 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


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.

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English version:
Problems of Information Transmission, 1999, 35:4, 287–294

Bibliographic databases:
UDC: 621.391.15
Received: 13.10.1998
Revised: 23.02.1999

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://www.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


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

    This publication is cited in the following articles:
    1. Cohn H., Jiao Ya., Kumar A., Torquato S., “Rigidity of spherical codes”, Geometry & Topology, 15:4 (2011), 2235–2274  crossref  mathscinet  isi
    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. 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, 2225 aprelya 2019 g. Chast 4, Itogi nauki i tekhn. Ser. Sovrem. mat. i ee pril. Temat. obz., 182, VINITI RAN, M., 2020, 45–50  mathnet  crossref
  •   Problems of Information Transmission
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