On reconstruction of a binary code from dimensions of its subcodes

Regarding $q$-ary codes, we generalize the theorem on reconstructing of a binary code from dimensions of its subcodes. The new reconstruction theorem involves arbitrary positive integer $q$. We propose he term of a correlation coefficient for a set of subcodes of a code. Here correlation coefficient of subcodes is a $q$-ary analog for dimension of a subcode of a binary code. Bibliogr. 6.