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arXiv 2607.13719cs.ITmath.IT

广义积码的低复杂度软辅助误码和擦除译码

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

Sisi Miao, Laurent Schmalen

AI总结:

研究广义积码的译码问题,提出低复杂度的\acs{RDRSD}译码器,其在多种GPC及译码配置下有不同复杂度-性能权衡,比\ac{iBDD}有1dB编码增益,还针对特定GPC分析误码平底并提出软辅助后处理步骤降低误码平底。

AI中文摘要:

广义积码(GPC)兼具出色的高速率性能和低复杂度硬件实现。我们提出了改进的动态可靠性分数译码器(\acs{RDRSD}),这是一种使用动态可靠性分数的硬消息传递迭代误码和擦除译码器。其伴随式域实现的复杂度与硬判决\ac{iBDD}相当。在各种GPC和译码配置中,\acs{RDRSD}提供了不同的复杂度-性能权衡,比\ac{iBDD}实现了约1dB的编码增益。对于具有小纠错能力分量码的GPC,我们还分析了误码平底并提出了显著降低它的软辅助后处理步骤。

英文摘要:

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.

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