Error detection code forming method and apparatus

Error detection/correction and fault detection/recovery – Pulse or data error handling – Error/fault detection technique

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714768, H03M 1300, G11B 2018

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active

059481188

ABSTRACT:
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 into four-bit units of data. A first data is added to each separated four-bit unit of 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 unit of data. The delayed data to which the second data is added is multiplied by a coefficient .alpha..sup.4 related to a Galois Field (2.sup.4) to generate the second data. Further, the delayed data to which the second data is added is multiplied by a coefficient .alpha. related to the Galois Field (2.sup.4) to generate the first data. Four-bit Reed-Solomon codes defined on the Galois Field (2.sup.4) is thus formed. The Reed-Solomon codes become the ID data error detection codes.

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