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This article is cited in 2 papers
Coding Theory
Construction of a Class of Linear Binary Codes Achieving the Varshamov?Griesmer Bound
B. I. Belov, V. N. Logachev, V. P. Sandimirov
Abstract:
A class of optimal (in the sense of achieving the Varshamov–Griesmer bound) linear binary codes is described; it is strictly included in the class of Solomon–Stiffler codes. A subclass of the given class of codes is constructively defined for the case of relatively small code distances.
UDC:
621.391.15
Received: 13.02.1973 Revised: 19.02.1974
Citation:
B. I. Belov, V. N. Logachev, V. P. Sandimirov, “Construction of a Class of Linear Binary Codes Achieving the Varshamov?Griesmer Bound”, Probl. Peredachi Inf., 10:3 (1974), 36–44
Citation in format AMSBIB:
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\by B.~I.~Belov, V.~N.~Logachev, V.~P.~Sandimirov
\paper Construction of a Class of Linear Binary Codes Achieving the Varshamov?Griesmer Bound
\jour Probl. Peredachi Inf.
\yr 1974
\vol 10
\issue 3
\pages 36--44
\mathnet{http://mi.mathnet.ru/ppi1040}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=469488}
\zmath{http://www.zentralblatt-math.org/zmath/search/?an=Zbl 0317.94014}
\transl
\jour Problems Inform. Transmission
\yr 1974
\vol 10
\issue 3
\pages 211--217
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http://mi.mathnet.ru/eng/ppi1040 http://mi.mathnet.ru/eng/ppi/v10/i3/p36
Full text (in Russian):
PDF file (911 kB)
English version:
Problems of Information Transmission, 1974, 10:3, 211–217
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This publication is cited in the following articles:
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Х. Гриссер, В. Р. Сидоренко, “Апостериорно-вероятностное декодирование несистематических блоковых кодов”, Пробл. передачи информ., 38:3 (2002), 20–33
; H. Grießer, V. R. Sidorenko, “A Posteriory Probability Decoding of Nonsystematically Encoded Block Codes”, Problems Inform. Transmission, 38:3 (2002), 182–193 -
Landjev, I, “A weighted version of a result of Hamada on minihypers and on linear codes meeting the Griesmer bound”, DESIGNS CODES AND CRYPTOGRAPHY, 45:1 (2007), 123
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