An operation method of a flash memory system includes: obtaining first syndrome values to a codeword; obtaining locations of errors and the number of the locations of errors based on the first syndrome values; error-correcting the codeword by flipping bit values of error bits of the codeword based on the locations of errors to generate an error-corrected codeword; obtaining second syndrome values to the error-corrected codeword; determining whether an error is found in the error-corrected codeword based on the second syndrome values; changing the first syndrome values when it is determined that no error is found in the error-corrected codeword; and restoring the error-corrected codeword to the codeword by re-flipping the flipped bit values when it is determined that an error is found in the error-corrected codeword.