A new type of spatially coupled low-density parity-check (SC-LDPC) codes motivated by practical storage applications is presented. SC-LDPCL codes (suffix `L' stands for locality) can be decoded locally at the level of sub-blocks that are much smaller than the full code block, thus offering flexible access to the coded information alongside the strong reliability of the global full-block decoding. Toward that, we propose constructions of SC-LDPCL codes that allow controlling the trade-off between local and global correction performance. In addition to local and global decoding, the paper develops a density-evolution analysis for a decoding mode we call semi-global decoding, in which the decoder has access to the requested sub-block plus a prescribed number of sub-blocks around it. SC-LDPCL codes are also studied under a channel model with variability across sub-blocks, for which decoding-performance lower bounds are derived.

中文翻译：

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具有子块局部性的空间耦合 LDPC 码


提出了一种受实际存储应用启发的新型空间耦合低密度奇偶校验（SC-LDPC）码。 SC-LDPCL码（后缀“L”代表局部性）可以在比完整代码块小得多的子块级别进行本地解码，从而提供对编码信息的灵活访问以及全局完整代码块的强大可靠性。 -块解码。为此，我们建议构建 SC-LDPCL 代码，以控制局部和全局校正性能之间的权衡。除了局部和全局解码之外，本文还为我们称为半全局解码的解码模式开发了密度演化分析，其中解码器可以访问所请求的子块及其周围规定数量的子块。 SC-LDPCL 码也在跨子块具有可变性的信道模型下进行了研究，并为此导出了解码性能下限。