UEP Constructions of Quasi-Cyclic Low-Density Parity-Check Codes via Masking

Chi-Jen Wu; Chung-Hsuan Wang; Chi-chao Chao

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UEP Constructions of Quasi-Cyclic Low-Density Parity-Check Codes via Masking

机译：通过掩蔽的准循环低密度奇偶校验码的UEP构造

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In this paper, the algebraic constructions of quasi-cyclic low-density parity-check (QC-LDPC) codes with the unequal error protection (UEP) property are considered. A criterion for constructing such codes via the masking technique is proposed, based on which explicit conditions on the base parity-check matrices and masking matrices to achieve UEP are provided. We also give three specific constructions of UEP QC-LDPC codes. Furthermore, a sufficient condition to ensure strict UEP is presented. Simulation results demonstrate the superiority of our constructed codes over time-sharing schemes. The constructed codes also have competitive error performance against randomly constructed equal-error-protection LDPC codes and irregular UEP LDPC codes designed based on the degree distribution.

机译：本文考虑具有不等错误保护（UEP）性质的准循环低密度奇偶校验（QC-LDPC）码的代数构造。提出了一种通过掩蔽技术构造此类代码的准则，在此基础上，提供了基本奇偶校验矩阵和掩蔽矩阵上实现UEP的明确条件。我们还给出了UEP QC-LDPC码的三种具体结构。此外，提出了确保严格的UEP的充分条件。仿真结果证明了我们构建的代码优于分时方案。相对于基于度分布设计的随机构造的等差错保护LDPC码和不规则UEP LDPC码，构造的代码还具有竞争性的错误性能。

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来源
《IEEE Transactions on Information Theory》 |2017年第10期|6271-6294|共24页
作者
Chi-Jen Wu; Chung-Hsuan Wang; Chi-chao Chao;
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作者单位

Institute of Communications Engineering, National Tsing Hua University, Hsinchu, Taiwan;

Institute of Communications Engineering, National Chiao Tung University, Hsinchu, Taiwan;

Institute of Communications Engineering, National Tsing Hua University, Hsinchu, Taiwan;

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正文语种 eng
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Parity check codes; Decoding; Error correction codes; Image color analysis; Very large scale integration; Chaotic communication; Linear matrix inequalities;

机译：奇偶校验码解码纠错码图像色彩分析大规模集成混沌通信线性矩阵不等式;

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1. Construction of quasi-cyclic low-density parity-check codes for simplifying shuffle networks in layered decoder [J] . Jianjun Zhang, Mingke Dong, Da Wang, Communications, China . 2013,第12期

机译：构造准循环低密度奇偶校验码以简化分层解码器中的混洗网络
2. Construction of girth-eight quasi-cyclic low-density parity-check codes with low encoding complexity [J] . Ruyan Wang, Yong Li, Hui Zhao, Communications, IET . 2016,第2期

机译：低编码复杂度的周长八环准循环低密度奇偶校验码的构造
3. On the Construction of Quasi-Cyclic Low-Density Parity-Check Codes Based on Girth [J] . Toshihiko OKAMURA IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences . 2004,第9期

机译：基于周长的准循环低密度奇偶校验码的构造
4. Construction of Quasi-Cyclic Low-Density Parity-Check Codes based on Quadratic Residue Codes [C] . Yong Li, Hao Yan, Rui Liu, International Symposium on Medical Information Communication Technology . 2021

机译：基于二次残留码的准循环低密度奇位校验码的构造
5. Decoder Architectures and Implementations for Quasi-Cyclic Low-Density Parity-Check Codes. [D] . Chen, Xiaoheng. 2011

机译：准循环低密度奇偶校验码的解码器体系结构和实现。
6. Exploiting Small Leakages in Masks to Turn a Second-Order Attack into a First-Order Attack and Improved Rotating Substitution Box Masking with Linear Code Cosets [O] . Alexander DeTrano, Naghmeh Karimi, Ramesh Karri, 2015

机译：利用掩膜中的小泄漏将二阶攻击转变为一阶攻击并利用线性代码陪集改进旋转替换盒掩蔽
7. Parallel-in encoding of quasi-cyclic low-density parity-check codes [O] . Peng Zhang, Shuai Du, Changyin Liu, 2016

机译：准循环低密度奇偶校验码的并行编码

UEP Constructions of Quasi-Cyclic Low-Density Parity-Check Codes via Masking

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