Abstract. Methods of creation of codes with summation focused on detection of errors in data vectors, are investigated. The ways to modify classic and modular sum codes are analyzed. It is noted that in some cases of a modified sum code building, it may be effective to choose the account module in the form of an arbitrary natural number M>2. An overview of the sum codes properties is presented; several previ-ously unknown features of modified sum codes with arbitrary account modules are established. The consideration concerns not only the features of detecting errors of different multiplicity, but also of differ-ent types (monotonous, symmetric and asymmetric). Detailed analysis is given to modified sum codes with arbitrary account modules having the best error detection characteristics in the code family with a specific module. The advantages and disadvantages of the code class in question are discusses. Pro-spects for cods application in solving the problems of synthesis of controllable automation devices and systems are formulated.

Keywords: error detection codes, error detection in data vectors, one-bits sum code, codes with arbitrary account modules, undetectable error, view and multiplicity of undetectable error

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