A. N. Chuprunov, I. Fazekas, “Strong laws of large numbers for a number of error-free blocks under error-corrected coding”, Inform. Primen., 2011, Volume 5, Issue 3,Pages <nobr>80

Strong laws of large numbers for a number of error-free blocks under error-corrected coding

A. N. Chuprunov^a, I. Fazekas^b

^a N. G. Chebotarev Research Institute of Mathematics and Mechanics, Kazan State University
^b University of Debrecen

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.