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The algorithm and software for search and study of orthogonal bases matrices – minimax matrices (M-matrix) are considered. The algorithm scheme is shown, comments on calculation blocks are given, and interface of the MMatrix software system developed with participation of the authors is explained. The results of the universal algorithm work are presented as Hadamard matrices, Belevitch matrices (C-matrices, conference matrices) and matrices of even and odd orders complementary and closelydoaj:143fe9279f904c60889e8f71108fc335 fatcat:n5gecokhnvaazbpf6xc5fsqmqy