Abstract: A parallel-to-serial conversion method for IBMA in a Reed Solomon decoder is used for obtaining discrepancies in IBMA iterations, thereby acquiring an error location polynomial and an error value polynomial. Syndrome sequences for the calculation of discrepancies in IBMA iterations have a fixed length. The number of syndromes is t+1, where t is the largest number of symbols that can be corrected of the error location polynomial. The feature that syndrome sequences have the same length is based on the fact that the discrepancies are not affected if the coefficients of polynomial orders of the error location polynomial are zero.

Abstract: A parallel-to-serial conversion method for IBMA in a Reed Solomon decoder is used for obtaining discrepancies in IBMA iterations, thereby acquiring an error location polynomial and an error value polynomial. Syndrome sequences for the calculation of discrepancies in IBMA iterations have a fixed length. The number of syndromes is t+1, where t is the largest number of symbols that can be corrected of the error location polynomial. The feature that syndrome sequences have the same length is based on the fact that the discrepancies are not affected if the coefficients of polynomial orders of the error location polynomial are zero.