Construction of Large Girth QC-LDPC Codes Based on Finite Geometries and Fast Searching Method

机译：基于有限几何和快速搜索方法的大周长QC-LDPC码构造

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摘要

We proposed a method which combines finite geometries and optimized searching algorithm to construct quasi-cyclic low-density parity check (QC-LDPC) codes which have large girth for high speed optical communications. Compared with other method, our algorithm has lower complexity and faster speed.

机译：我们提出了一种将有限的几何形状和优化的搜索算法相结合的方法来构造具有大周长的准循环低密度奇偶校验（QC-LDPC）码，用于高速光通信。与其他方法相比，我们的算法具有更低的复杂度和更快的速度。

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《Asia Communications and Photonics Conference》|2016年|1-3|共3页
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作者
Zhirong Wang; Liqian Wang; Dongdong Wang; Aimei Fei; Xue Chen; Chen Ju; Huitao Wang; Qi Zhang;
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Parity check codes; Optical fiber communication; Photonics; Geometry; Finite element analysis; Asia; Complexity theory;

机译：奇偶校验码;光纤通信;光子学;几何学;有限元分析;亚洲;复杂性理论;

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专利

1. Large Girth Non-Binary LDPC Codes Based on Finite Fields and Euclidean Geometries [J] . Xueqin JiangMoon Ho Lee Signal Processing Letters, IEEE . 2009,第6期

机译：基于有限域和欧几里得几何的大周长非二进制LDPC码
2. New methods of construction of cartesian authentication codes from geometries over finite commutative rings [J] . WachirapongJirakitpuwapat, ParinChaipunya, PoomKumam, Journal of mathematical cryptology . 2018,第3期

机译：来自有限换向环的几何形状建设笛卡尔认证代码的新方法
3. Two constructions of LDPC codes based on pseudo-symplectic geometry over finite fields [J] . Wang Xiuli, Hao Yakun 中国邮电高校学报（英文版） . 2018,第002期

机译：有限域上基于伪辛几何的LDPC码的两种构造
4. Construction of Large Girth QC-LDPC Codes Based on Finite Geometries and Fast Searching Method [C] . Zhirong Wang, Liqian Wang, Dongdong Wang, Asia Communications and Photonics Conference . 2016

机译：基于有限几何和快速搜索方法构建大型QC-LDPC码的施工
5. Construction and decoding of codes on finite fields and finite geometries. [D] . Zhang, Li. 2010

机译：有限域和有限几何上代码的构造和解码。
6. A Comparison of Some Model Order Reduction Methods for Fast Simulation of Soft Tissue Response using the Point Collocation-based Method of Finite Spheres (PCMFS) [O] . Suleiman BaniHani, Suvranu De -1

机译：使用基于点配点的有限球体（PCMFS）快速模拟软组织反应的某些模型降阶方法的比较
7. A fast searching method for the construction of QC-LDPC codes with large girth [O] . Lau FCM, Tam WM 2012

机译：快速搜索大周长QC-LDPC码的方法

Construction of Large Girth QC-LDPC Codes Based on Finite Geometries and Fast Searching Method

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