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In this paper, a new decoding scheme for low-density parity-check (LDPC)codes using the concept of simple product code structure is proposed based oncombining two independently received soft-decision data for the same codeword.LDPC codes act as horizontal codes of the product codes and simple algebraiccodes are used as vertical codes to help decoding of the LDPC codes. Thedecoding capability of the proposed decoding scheme is defined and analyzedusing the paritycheck matrices of vertical codes and especially thecombined-decodability is derived for the case of single parity-check (SPC) andHamming codes being used as vertical codes. It is also shown that the proposeddecoding scheme achieves much better error-correcting capability in high signalto noise ratio (SNR) region with low additional decoding complexity, comparedwith a conventional decoding scheme.

New decoding scheme for LDPC codes based on simple product code structure