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The object of research is the properties of binary matrix symmetry. The constructed model of a binary matrix enabled us to determine the measure of matrix symmetry. Entropy criteria are obtained on the basis of the symmetry measure, which allows us to rank objects, represented by binary structures, in the order of their preference, and to solve various optimization tasks. The use of the obtained results in the tasks concerned with test control of digital devices has been shown. The "black box"doi:10.1088/1742-6596/1203/1/012051 fatcat:cgajyp5movgbxekc76xpfp3bme