In this article, an efficient concatenation of error correction codes with constrained codes is proposed. Generally, constrained codes are designed to match specified channels, whereas error correction coding schemes are designed to correct the channel errors. Both play important roles to ensure the integrity of data in data storage systems. In this study, we first investigate the design of $k$ -constrained codes combined with a low-density parity-check (LDPC) code, and then we extend the idea to the design of dc-free $k$ -constrained LDPC codes. Simulation results show that the proposed designs achieve an improved bit error rate (BER) performance, compared to prior art schemes. In particular, the proposed design for the dc-free $k$ -constrained codes not only fully eliminates the effect of error propagation in a reverse configuration but also achieves significant dc suppression.

中文翻译：

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LDPC码与约束码的有效级联

在本文中，提出了一种有效的纠错码与约束码的级联。通常，约束编码被设计为匹配指定的信道，而纠错编码方案被设计为纠正信道错误。两者都在确保数据存储系统中数据的完整性方面发挥着重要作用。在这项研究中，我们首先研究了设计 $千$ - 约束码结合低密度奇偶校验（LDPC）码，然后我们将这个想法扩展到无直流的设计 $千$ - 约束的 LDPC 码。仿真结果表明，与现有技术方案相比，所提出的设计实现了改进的误码率（BER）性能。特别是，建议的无直流设计 $千$ - 约束代码不仅完全消除了反向配置中的错误传播的影响，而且还实现了显着的直流抑制。