大周长不相交差集及其相关QC-LDPC码

2023 IEEE/CIC International Conference on Communications in China (ICCC Workshops) Pub Date : 2023-08-10 DOI:10.1109/ICCCWorkshops57813.2023.10233824

Guohua Zhang, Mengdi Ni, Yi Fang

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引用次数: 0

摘要

近年来，人们利用不相交差分集(DDS)构造无小环的准循环低密度校验码。然而，现有的基于dds的QC-LDPC码没有全零循环，这在一定程度上限制了编码的解码性能。本文提出了两种新的基于dds的QC-LDPC码，它们包含全零循环，周长至少为8，周长至少为10。数值仿真结果表明，新编码在AWGN信道中具有良好的性能。此外，还提出了关于dds存在性的一个新结果和两个新的dds确定性结构。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On Disjoint Difference Sets and Their Associated QC-LDPC Codes with Large Girth

The disjoint difference set (DDS) has been utilized in recent years to construct quasi-cyclic (QC) low-density parity-check (LDPC) codes without small cycles. However, the existing DDS-based QC-LDPC codes have no all-zero circulants, which limits the decoding performance of such codes to some extent. In this paper, two new types of DDS-based QC-LDPC codes are proposed, which contain all-zero circulants and possess girth at least eight and girth at least ten, respectively. Numerical simulations show that the new codes have good performance in AWGN channels. Besides, a new result on existence for DDSs and two novel deterministic constructions for DDSs are put forward.

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2023 IEEE/CIC International Conference on Communications in China (ICCC Workshops)

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