Coding device, transmitter, decoding device, and receiver

A coding device comprising:

• processing circuitry configured to:
• generate a parity of a first error-correcting code by coding, based on the first error-correcting code, each first data sequence existing in a direction different from a row direction of input data regarded as one matrix, and generate coded data by attaching the parity of the first error-correcting code to each first data sequence, thereby consequently expanding the matrix;
• generate a parity of a second error-correcting code by coding, based on the second error-correcting code, each second data sequence existing in a row direction of the generated coded data, and generate a plurality of frames including, per frame, one data sequence existing in the row direction of the coded data, and a corresponding parity of the second error-correcting code;
• and
• insert an identifier for identifying a top of the coded data in a first row of the coded data.