The authors analyzed the feature of detection ability in data vectors by modified weight-bits andThe authors analyzed the feature of detection ability in data vectors by modified weight-bits andweight-transition sum codes, which were constructed using a sequence of weights that form a naturalseries of numbers. The article presents the conditions for constructing a family of weightedcodes with the detection of any single error in data vectors of a given length m. The key characteristicsof weighted sum code are determined, which determine the conditions for their use in buildingreliable logic devices. A classification of weighted sum codes with weight coefficients from anatural series of numbers has been developed.
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