An error correction coding device includes a time divider for dividing field data of L packets into N data packets and (L-N) parity packets, a first RS (Reed-Solomon) encoder adding parities of a predetermined number of bytes to the data packets, respectively, a storage unit for storing the data packets, and a second RS encoder generating parity packets corresponding to the stored data packets. An error correction decoding device includes a first RS decoder correcting errors in a horizontal direction of the field data using parities of the predetermined number of bytes included in the L packets, a storage unit storing the error-corrected data packets, and a second RS decoder correcting errors in a vertical direction of the field data using the parity packets. Thus, the error correction can be strongly performed using parities existing in the horizontal and vertical directions with respect to the field data.