Low-Complexity Soft-Aided Error-and-Erasure Decoding for Generalized Product Codes

Generalized product codes (GPCs) combine excellent high-rate performance with low-complexity hardware implementations.

We propose the refined dynamic reliability score decoder (\acs{RDRSD}), a hard-message-passing iterative error-and-erasure decoder that uses dynamic reliability scores.

Its syndrome-domain implementation has complexity comparable to hard-decision \ac{iBDD}.

Across various GPCs and decoding configurations, \acs{RDRSD} provides different complexity--performance trade-offs and achieves approximately \SI{1}{dB} coding gain over \ac{iBDD}.

For GPCs with component codes of small error-correcting capability, we also analyze the error floor and propose a soft-aided post-processing step that significantly lowers it.