This article is cited in 1 paper

Laws of iterated logarithm for numbers of nonerror blocks under error corrected coding

A. N. Chuprunov^a, I. Fazekas<sup>b

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

Abstract: Messages containing blocks are considered. Each block is encoded with some antinoise coding method, which can correct not more than r mistakes. It is assumed that the number of mistakes in a block is a nonnegative integer valued random variable. The random variables are independent and identically distributed. Also, it is assumed that the number of mistakes in a message belongs to a some finite set of integer numbers. In the paper, the analogs of the Law of Iterated Logarithm for a number of nonerror blocks in a message is proved.

Keywords: generalized allocation scheme; conditional probability; conditional expectation; exponential inequality; Law of Iterated Logarithm; Hamming code.