This paper contains a synthesis of researches in the field of multidimensional matrices and multi-ary relations. These researches have led to the development of a large prime number generator and proving a series of properties of Boolean functions represented by the subsets of column which have permitted to develop some information encryption algorithms based on the multidimensional matrices. A more detailed explanation of these algorithms can be found in the following works: [5], [6], [8], [9], [10].