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Informatika i Ee Primeneniya [Informatics and its Applications], 2011, Volume 5, Issue 3, Pages 80–85 (Mi ia163)  
Strong laws of large numbers for a number of error-free blocks under error-corrected coding

A. N. Chuprunova, I. Fazekasb

a N. G. Chebotarev Research Institute of Mathematics and Mechanics, Kazan State University
b University of Debrecen
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Abstract: The messages which contain blocks are considered. Each block was coded by error-corrected coding which can correct not more than $r$ errors. It is assumed that the number of errors in a block is Poissonian randomvariable with parameter $\lambda$. Also, it is assumed that the number of errors in a message belongs to a subset of nonnegative integer numbers. Under there assumptions, the laws of large numbers for a number of error-free blocks in themessage were obtained.
Keywords: allocation scheme; conditional probability; law of large numbers; error-corrected code.
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Document Type: Article
Language: Russian
Citation: A. N. Chuprunov, I. Fazekas, “Strong laws of large numbers for a number of error-free blocks under error-corrected coding”, Inform. Primen., 5:3 (2011), 80–85
Citation in format AMSBIB
\Bibitem{ChuFaz11}
\by A.~N.~Chuprunov, I.~Fazekas
\paper Strong laws of large numbers for a number of error-free blocks under error-corrected coding
\jour Inform. Primen.
\yr 2011
\vol 5
\issue 3
\pages 80--85
\mathnet{http://mi.mathnet.ru/ia163}
\elib{https://elibrary.ru/item.asp?id=16823618}
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