Abstract. Properties of indivisible uniform codes belonging to the class of equilibrium and the class of Hadamard codes are analyzed. The codes under consideration are widely used in data transmission and in organization of controllable discrete systems. The key characteristics of both classes of indivisible codes to be accounted for when building controllable devices and automation systems, are established. Formulas for calculating the number of errors not detected by the considered codes are presented. Characteristic tables for equilibrium codes and Hadamard codes are given. A noted feature of equilibrium codes “1 out of m” which is not characteristic of other equilibrium codes, is the ability to detect any distortions in code words except for double symmetrical errors. It is proposed to apply the Hadamard codes when organizing self-verifying embedded control schemes based on the logical addition method.

Keywords: equilibrium codes, error detection by equilibrium codes, undetectable error, code features, technical diagnostics of discrete systems

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