Dual-mode decoding of product codes with application to tape storage

Yang Han, W.E. Ryan, Richard D. Wesel · GLOBECOM '05. IEEE Global Telecommunications Conference, 2005. · 2005

In this paper, we propose a dual-mode decoding technique for product codes in which the rows and columns may comprise either Reed-Solomon (RS) codewords or LDPC codewords. The first decoding mode uses standard hard-decision decoding algorithms on the rows and columns, after which a maximum-likelihood (ML) packet-erasure decoding algorithm is employed for the column code in a second decoding mode. For the second mode, the column code takes on a different character in which "slices" of the row code are treated as packets which are symbols in the column code. The ML decoder for this packet-level column code resolves the erroneous packets (erasures) flagged by the row code or a packet-level CRC code during the first decoding mode. By exploring an application to tape storage, we demonstrate that this dual-mode decoding method can dramatically improve the performance of a product code. Moreover, the complexity added by the second mode is manageable.

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