An apparatus and method for producing error correction code and error correction decoding are provided. The method for producing error correction code includes generating an asymmetric matrix by arranging input data bits in a matrix of a predefined size and adding a zero bit column and/or a zero bit row, each of the column and the row consisting of zero bits, to the matrix; primarily encoding the asymmetric matrix by adding one or more parity bits to each row; and secondarily encoding the primarily encoded matrix by adding one or more parity bits to each column of the encoded matrix.