Low-Lee-Density Parity-Check Codes

机译：低李密度奇偶校验码

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We introduce a new family of linear block codes over $mathbb{Z}_{q}$ that we name low-Lee-density parity-check (LLDPC) codes. These codes, which are embedded with the Lee metric, are characterized by a parity-check matrix whose rows and columns have low

机译：我们引入了一个新的$ \ mathbb {Z} _ {q} $之上的线性块代码系列，我们将其称为低李密度奇偶校验（LLDPC）代码。这些代码嵌入了Lee度量标准，其特征在于奇偶校验矩阵，其行和列的行数很低。

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《IEEE International Conference on Communications》|2020年|1-6|共6页
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Paolo Santini; Massimo Battaglioni; Franco Chiaraluce; Marco Baldi; Edoardo Persichetti;
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Measurement; Zinc; Decoding; Sparse matrices; Linear codes; Iterative decoding;

机译：测量;锌;解码;稀疏矩阵;线性码;迭代解码;

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专利

1. Bounds on the Size of Parity-Check Matrices for Quasi-Cyclic Low-Density Parity-Check Codes [J] . Kim K.-J., Chung J.-H., Yang K. IEEE Transactions on Information Theory . 2013,第11期

机译：拟循环低密度奇偶校验码的奇偶校验矩阵的大小界
2. Improved Low-Density Parity-Check Codes Based on Single Parity-Check Block and Their Performance Analysis on the Binary Erasure Channel [J] . LIN Jing, JING Longjiang, ZHU Weile, 电子学报：英文版 . 2008,第004期

机译：基于单个奇偶校验块的改进型低密度奇偶校验码及其在二进制擦除信道上的性能分析
3. On the Minimum Distance of Low-Density Parity-Check Codes with Parity-Check Matrices Constructed from Permutation Matrices [J] . A. Sridharan, M. Lentmaier, D. V. Truhachev, Problems of information transmission . 2005,第1期

机译：利用置换矩阵构造奇偶校验矩阵的低密度奇偶校验码的最小距离
4. Low-Density Parity-Check Codes with Simple Irregular Semi-Random Parity-Check Matrix for Finite-Length Applications [C] . M. Rashidpour, S. H. Jamali The 14th IEEE 2003 International Symposium on Personal, Indoor and Mobile Radio Communications Proceedings v.1 . 2003

机译：具有简单不规则半随机奇偶校验矩阵的低密度奇偶校验码，适用于有限长度的应用
5. Flexible encoder and decoder designs for low-density parity-check codes. [D] . Kopparthi, Sunitha. 2010

机译：灵活的编码器和解码器设计，适用于低密度奇偶校验码。
6. Data on coding association rules from an inpatient administrative health data coded by International classification of disease - 10th revision (ICD-10) codes [O] . Mingkai Peng, Vijaya Sundararajan, Tyler Williamson, 2018

机译：来自按国际疾病分类-第10版（ICD-10）编码编码的住院管理健康数据中的编码关联规则的数据
7. On the Cyclicity of Goppa Codes, Parity-Check Subcodes of Goppa Codes, and Extended Goppa Codes [O] . Berger Thierry P. 2000

机译：关于Goppa码的循环性，Goppa码的奇偶校验子码和扩展Goppa码

Low-Lee-Density Parity-Check Codes

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