SOLUTION OF A MATRIX PROBLEM ON A MATHEMATICAL SAFE FOR LOCKS OF THE SAME KIND. I

摘要

A mathematical safe problem is first formulated in a general form. The case of a set of locks that are of the same kind and are arranged in the form of a rectangular matrix is considered. Locks are considered to be of the same kind if their states are specified by numbers from the class of residues to a definite modulus. In the case of a prime modulus, a complete solution is provided. All the results obtained are illustrated by examples.