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A class of codes is described having check matrices which are the tensor product of the check matrices of known nonbinary codes and binary codes. The error-correction, error-detection, and error-location capabilities of these codes are specified in terms of the properties of the component codes. The construction procedure allows for a class of codes with a wide variety of redundancies and error-control capabilities. Examples are given of codes from this class which correct random bursts of errors and bursts of bursts of errors.