| 摘要 |
An error correction system is disclosed comprising an encoder operable to generate an encoded codeword of a polynomial code over a Galois field GF(q) comprising q elements, wherein the encoded codeword comprises an input data sequence, at least one check symbol, and redundancy symbols. A decoder decodes a received codeword into the encoded codeword by correcting at least one error in the received codeword to generate a corrected codeword, evaluating at least one symbol of the corrected codeword relative to the check symbol in order to detect a shift error, and when the shift error is detected, shift the corrected codeword to correct the shift error. |
