Analysis of the probability of sync-words in Reed-Solomon codes

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Peer-Reviewed Research
  • SDG 17
  • SDG 8
  • Abstract:

    Abstract: Given binary data transmission encoded using a Reed-Solomon (RS) code and employing binary sync-words (markers) for synchronization, we calculate the probability of finding the sync-word in the codewords of the RS code as PS. We give analytical expressions for calculating PS, which is applicable to RS codes. Knowledge of PS can be used to calculate the probability of finding a sync-word that is used as a marker in RS encoded data, PT . The probability PT is called the false acquisition probability in the synchonization of RS encoded data.