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  • Enrichment of a sequences set in the problem of blocks of symmetric Hadamard matrices searching

    The search for orthogonal and quasi-orthogonal matrices is considered as a sequence of setting initial conditions, choosing an implementation method, filtering a set of generated sequences. It is proposed to accelerate the search for matrices by pre-fixing their structure and filtering the generated sequences using the Fourier spectrum. Fixing the structure involves using the symmetry properties of the desired matrices. Filtering allows you to exclude sequences with explicit spectrum outliers when forming blocks of symmetric matrices.

    Keywords: mining of matrices, Hadamard matrices, Propus conctruction, filtering sequences