Natural metrics and their properties. P. 2. Hamming-type metrics

Natutal overmetrics and submetrics “nearest” to the Hamming metrics are described, analogues of the Hamming metrics are constructed. Natural metrics on the vector spaces with isometry group containing the shift group are considered. By means of $(n+1)$-valued submetrics of $2^n$-valued overmetrics of the Hamming metrics a class of codes which are equivalent to a code with the Hamming metrics relatively to the linear group.