© 2017 Walter de Gruyter GmbH, Berlin/Boston 2017. The article is devoted to the memory of Valentin Fedorovich Kolchin. Let ζ, ζ i (i N) be independent identically distributed nonnegative integer-valued random variables, ...

We consider n messages of N blocks each, where each block is encoded by some antinoise coding method. The method can correct no more than one error. We assume that the number of errors in the ith message belongs to some ...