Decoding method, decoding apparatus and decoder

A decoding apparatus for correcting burst errors comprising:

• an initial syndrome computing unit configured for computing an initial syndrome of a received data frame, wherein the data frame is encoded according to cyclic codes for correcting burst errors;
• an error correctability determining unit configured for determining error correctability of the burst error contained in the data frame based on the computed initial syndrome;
• an error processing unit configured for processing the burst error in the data frame and outputting the processed data frame based on the determined error correctability;
• a first syndrome computing sub-unit which computes a first syndrome by dividing the computed initial syndrome by an error pattern polynomial, and determining a remaining polynomial associated with the first syndrome;
• and
• a second syndrome computing sub-unit which computes a second syndrome by dividing the computed initial syndrome by an error location polynomial, and determining a remaining polynomial associated with the second syndrome, wherein the determining the error correctability is based on the initial syndrome which further comprises:
• judging whether the burst error occurs at a boundary of a shorten frame of shorten cyclic codes based on a location of the burst error in the data frame;
• in response to judging that the burst error occurs at the boundary of the shorten frame of the shorten cyclic codes, determining a second error correctability;
• and
• determining the error correctability of the burst error contained in the data frame based on the determined first and second error correctability.