Methods for multidimensional patterns recognition in Hamming space

This paper contains the theoretical bases of patterns recognition in two-dimensional Hamming space. There is grounded the perspective of application of modular weighted Hamming distance of patterns recognition evaluation by using signal lattice modules in two-dimensional Hamming space. There are shown the weaknesses and functional limitations of known methods in the tasks of Hamming distance of multidimensional patterns evaluation. There is proposed the method of processing of two-dimensional Hamming space signals in the nodes of which the multidimensional objects exist on the basis of lattice data in Krestenson theoretical-numerical basis coding.