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

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.