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Problemy Peredachi Informatsii, 1976, Volume 12, Issue 1, Pages 16–23 (Mi ppi1671)  
Coding Theory

Perfect Arithmetic Single-Error-Correcting $AN$-Codes

I. M. Boyarinov, G. A. Kabatiansky
Full-text PDF (1477 kB)
Abstract: Necessary and sufficient existence conditions for perfect $r$-ary single-error-correcting $AN$-codes are obtained. All perfect ternary $AN$-codes are described; the nonexistence of perfect $AN$-codes for some $r$ is proved.
Received: 23.08.1974
Bibliographic databases:
Document Type: Article
UDC: 621391.15
Language: Russian
Citation: I. M. Boyarinov, G. A. Kabatiansky, “Perfect Arithmetic Single-Error-Correcting $AN$-Codes”, Probl. Peredachi Inf., 12:1 (1976), 16–23; Problems Inform. Transmission, 12:1 (1976), 10–16
Citation in format AMSBIB
\Bibitem{BoyKab76}
\by I.~M.~Boyarinov, G.~A.~Kabatiansky
\paper Perfect Arithmetic Single-Error-Correcting $AN$-Codes
\jour Probl. Peredachi Inf.
\yr 1976
\vol 12
\issue 1
\pages 16--23
\mathnet{http://mi.mathnet.ru/ppi1671}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=424387}
\zmath{https://zbmath.org/?q=an:0356.94015}
\transl
\jour Problems Inform. Transmission
\yr 1976
\vol 12
\issue 1
\pages 10--16
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