|
This article is cited in 2 scientific papers (total in 2 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.
Full text:
PDF file (877 kB)
References:
PDF file
HTML file
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
Linking options:
http://mi.mathnet.ru/eng/ppi457 http://mi.mathnet.ru/eng/ppi/v35/i4/p3
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:
-
Cohn H., Jiao Ya., Kumar A., Torquato S., “Rigidity of spherical codes”, Geometry & Topology, 15:4 (2011), 2235–2274
-
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
|
Number of views: |
This page: | 1061 | Full text: | 232 | References: | 38 | First page: | 2 |
|