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Problemy Peredachi Informatsii, 2000, Volume 36, Issue 3, Pages 39–45 (Mi ppi483)  
This article is cited in 3 scientific papers (total in 3 papers)

Coding Theory

Rotations of Spherical Designs

V. A. Yudin
Full-text PDF (573 kB) Citations (3)
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Abstract: A part of a spherical configuration is moved along the sphere under the action of the group SO(n). It is found that point arrangements thus obtained remain to be good designs. Particular cases are considered, namely, an icosahedron and minimal vectors of the lattice E8.
Received: 16.12.1999
Bibliographic databases:
Document Type: Article
UDC: 621.391.1:519.27
Language: Russian
Citation: V. A. Yudin, “Rotations of Spherical Designs”, Probl. Peredachi Inf., 36:3 (2000), 39–45; Problems Inform. Transmission, 36:3 (2000), 230–236
Citation in format AMSBIB
\Bibitem{Yud00}
\by V.~A.~Yudin
\paper Rotations of Spherical Designs
\jour Probl. Peredachi Inf.
\yr 2000
\vol 36
\issue 3
\pages 39--45
\mathnet{http://mi.mathnet.ru/ppi483}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1793356}
\zmath{https://zbmath.org/?q=an:0965.05031}
\transl
\jour Problems Inform. Transmission
\yr 2000
\vol 36
\issue 3
\pages 230--236
Linking options:
  • https://www.mathnet.ru/eng/ppi483
  • https://www.mathnet.ru/eng/ppi/v36/i3/p39
    • This publication is cited in the following 3 articles:
    1. N. O. Kotelina, A. B. Pevnyi, “Weighted spherical semidesigns and cubature formulae for calculating integrals on a sphere”, Russian Math. (Iz. VUZ), 57:2 (2013), 42–47  mathnet  crossref
    2. R. E. Afonin, A. B. Pevnyi, “A criterion for a spherical design associated with V. A. Yudin potentials”, Russian Math. (Iz. VUZ), 55:12 (2011), 11–15  mathnet  crossref  mathscinet
    3. N. O. Kotelina, A. B. Pevnyǐ, “Extremal properties of spherical semidesigns”, St. Petersburg Math. J., 22:5 (2011), 795–801  mathnet  crossref  mathscinet  zmath  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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    Full-text PDF :117
    References:50
     
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