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We propose a novel construction of product codes for high-density magneticrecording based on binary low-density parity check (LDPC) codes and binaryimage of Reed Solomon (RS) codes. Moreover, two novel algorithms are proposedto decode the codes in the presence of both AWGN errors and scattered harderrors (SHEs). Simulation results show that at a bit error rate (bER) ofapproximately 10^-8, our method allows improving the error performance byapproximately 1.9dB compared with that of a hard decision decoder of RS codesof the same length and code rate. For the mixed error channel including randomnoises and SHEs, the signal-to-noise ratio (SNR) is set at 5dB and 150 to 400SHEs are randomly generated. The bit error performance of the proposed productcode shows a significant improvement over that of equivalent random LDPC codesor serial concatenation of LDPC and RS codes.

A Novel Error Correcting System Based on Product Codes for Future Magnetic Recording Channels