Method and apparatus for Reed-Solomon encoding an identification field using words of four bits

摘要

Identification (ID) error detection codes are formed which are synchronized at least with ID data and digital data of fixed length. The ID data are firstly separated per four bits. A first data is added to each separated four-bit data. The data to which the first data is added is delayed by a period corresponding to each four-bit data. Further, a second data is added to the delayed data. The data to which the second data is added is delayed by the period corresponding to each four-bit data. The delayed data to which the second data is added is multiplied by a coefficient alpha <4> related to a Galois Field (2<4>) to generate the second data. Further, the delayed data to which the second data is added is multiplied by a coefficient a related to the Galois Field (2<4>) to generate the first data. Four-bit Reed-Solomon codes defined on the Galois Field (2<4>) is thus formed. The Reed-Solomon codes become the ID data error detection codes.