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Problemy Peredachi Informatsii, 2009, Volume 45, Issue 2, Pages 41–55 (Mi ppi1977)  
This article is cited in 3 scientific papers (total in 3 papers)

Coding Theory

A method for proving nonexistence of spherical designs of odd strength and odd cardinality

S. Boumovaa, P. Boyvalenkova, M. Stoyanovab

a Institute of Mathematics and Informatics, Bulgarian Academy of Sciences
b Sofia University St. Kliment Ohridski, Faculty of Mathematics and Informatics, Bulgaria
Full-text PDF (323 kB) Citations (3)
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Abstract: We combine polynomial techniques with some geometric arguments to obtain restrictions of the structure of spherical designs with fixed odd strength and odd cardinality. Our bounds for the extreme inner products of such designs allow us to prove nonexistence results in many cases. Applications are shown for 7-designs.
Received: 27.07.2008
Revised: 27.12.2008
English version:
Problems of Information Transmission, 2009, Volume 45, Issue 2, Pages 110–123
DOI: https://doi.org/10.1134/S0032946009020033
Bibliographic databases:
Document Type: Article
UDC: 621.391.15
Language: Russian
Citation: S. Boumova, P. Boyvalenkov, M. Stoyanova, “A method for proving nonexistence of spherical designs of odd strength and odd cardinality”, Probl. Peredachi Inf., 45:2 (2009), 41–55; Problems Inform. Transmission, 45:2 (2009), 110–123
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/ppi/v45/i2/p41
    • This publication is cited in the following 3 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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    Abstract page:320
    Full-text PDF :73
    References:57
    First page:3
     
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