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Problemy Peredachi Informatsii, 2002, Volume 38, Issue 3, Pages 34–44 (Mi ppi1314)  
This article is cited in 2 scientific papers (total in 2 papers)

Coding Theory

Quantum Codes and Abelian Subgroups of the Extra-Special Group

V. M. Sidel'nikov
Full-text PDF (2087 kB) Citations (2)
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Abstract: A method for constructing a new class of quantum codes is proposed. In the method, properties of the extraspecial matrix group are exploited. This class of codes is wider than that considered in [1–4] (CSS-codes). In particular, this class includes the one-error-correcting quantum “Hamming code” (which is not a CSS-code) of length $n=2^m$, the number of elements in it being close to the maximum possible. The latter result is one of the main results of the paper.
Received: 25.06.2001
Revised: 26.03.2002
English version:
Problems of Information Transmission, 2002, Volume 38, Issue 3, Pages 194–202
DOI: https://doi.org/10.1023/A:1020361118261
Bibliographic databases:
Document Type: Article
UDC: 621.391.15
Language: Russian
Citation: V. M. Sidel'nikov, “Quantum Codes and Abelian Subgroups of the Extra-Special Group”, Probl. Peredachi Inf., 38:3 (2002), 34–44; Problems Inform. Transmission, 38:3 (2002), 194–202
Citation in format AMSBIB
\Bibitem{Sid02}
\by V.~M.~Sidel'nikov
\paper Quantum Codes and Abelian Subgroups of the Extra-Special Group
\jour Probl. Peredachi Inf.
\yr 2002
\vol 38
\issue 3
\pages 34--44
\mathnet{http://mi.mathnet.ru/ppi1314}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2101266}
\zmath{https://zbmath.org/?q=an:1041.94013}
\transl
\jour Problems Inform. Transmission
\yr 2002
\vol 38
\issue 3
\pages 194--202
\crossref{https://doi.org/10.1023/A:1020361118261}
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    • This publication is cited in the following 2 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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