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Problemy Peredachi Informatsii, 1973, Volume 9, Issue 4, Pages 17–28 (Mi ppi918)  

Coding Theory

Arithmetic Burst-Error-Correcting Codes

V. M. Gritsenko
Abstract: Methods are discussed for the synthesis of arithmetic codes detecting and correcting specified burst error configurations. The reciprocity laws for power residues in circular algebraic fields are used to construct the codes. Examples are given in the synthesis of binary and ternary code generators.
Received: 30.05.1972
Bibliographic databases:
Document Type: Article
UDC: 621.391.15
Language: Russian
Citation: V. M. Gritsenko, “Arithmetic Burst-Error-Correcting Codes”, Probl. Peredachi Inf., 9:4 (1973), 17–28; Problems Inform. Transmission, 9:4 (1973), 282–291
Citation in format AMSBIB
\Bibitem{Gri73}
\by V.~M.~Gritsenko
\paper Arithmetic Burst-Error-Correcting Codes
\jour Probl. Peredachi Inf.
\yr 1973
\vol 9
\issue 4
\pages 17--28
\mathnet{http://mi.mathnet.ru/ppi918}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=335138}
\zmath{https://zbmath.org/?q=an:0309.94034}
\transl
\jour Problems Inform. Transmission
\yr 1973
\vol 9
\issue 4
\pages 282--291
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  • https://www.mathnet.ru/eng/ppi/v9/i4/p17
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    Проблемы передачи информации Problems of Information Transmission
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