Abstract
The well-known cyclic error-correcting codes are used so far only for serial systems; that is, systems having a single channel with information transmitted one bit at a time. In data-processing equipments and communication systems, information is often transmitted serially by characters and parallel by bits within a character. That is, there are several channels in parallel. Error correction in the existing multiple channel systems has been restricted to the use of block codes with the block length equal to the number of channels. The use of cyclic codes will allow the length of a code word many times greater than the number of parallel channels. This offers simple mechanization and, at the same time, reduces the redundancy of the system.

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