Abstract: A data storage device is disclosed wherein a first plurality of codewords are generated each comprising a plurality of symbols, and a first parity sector is generated over the first plurality of codewords. A second plurality of codewords are generated each comprising a plurality of symbols, and a second parity sector is generated over the second plurality of codewords. A third parity sector is generated over a first subset of the first plurality of codewords and a first subset of the second plurality of codewords, and a fourth parity sector is generated over a second subset of the first plurality of codewords and a second subset of the second plurality of codewords. When processing of a first codeword fails, the first codeword and the first parity sector are processed using a LDPC type decoder, and the first codeword and the third parity sector are processed using the LDPC type decoder.

Abstract: A data storage device is disclosed comprising a non-volatile storage medium (NVSM). A reliability metric for each symbol of each of a plurality of codewords read from the NVSM is generated, and a number of erasures for a first codeword are generated, wherein the number of erasures exceeds the correction power of the first codeword. A reliability metric of the first codeword is modified corresponding to one of the erasures. The reliability metrics for each codeword including the modified reliability metrics of the first codeword are first iteratively processed using a low density parity check (LDPC) type decoder, thereby first updating the reliability metric for each symbol of each codeword. The reliability metrics for the first codeword are second updated using the parity sector, and the second updated reliability metrics for the first codeword are second iteratively processed using the LDPC-type decoder.

Abstract: A data storage device is disclosed comprising a non-volatile storage medium (NVSM). A reliability metric for each symbol of each of a plurality of codewords read from the NVSM is generated, and a number of erasures for a first codeword are generated, wherein the number of erasures exceeds the correction power of the first codeword. A reliability metric of the first codeword is modified corresponding to one of the erasures. The reliability metrics for each codeword including the modified reliability metrics of the first codeword are first iteratively processed using a low density parity check (LDPC) type decoder, thereby first updating the reliability metric for each symbol of each codeword. The reliability metrics for the first codeword are second updated using the parity sector, and the second updated reliability metrics for the first codeword are second iteratively processed using the LDPC-type decoder.

Abstract: A method, apparatus, and system are provided for implementing an enhanced modulation code for hard disk drives (HDDs). A modulation code directly uses Bit Error Rate (BER) information for different user patterns to construct a coded word minimizing possible error rate. The modulation code has a flexible code rate that simplifies code optimization relative to Coded Bit Density (CBD), signal to noise ratio (SNR) and noise color.