Semiconductor Optoelectronics, Volume. 46, Issue 2, 336(2025)

Novel Construction Method Using QC-LDPC Codes with Girth-8 Based on Search Algorithm of Subtraction Construction

YUAN Jianguo, YANG Ting, FU Bowen, and XIONG Longyu
Author Affiliations
  • School of Optoelectronic Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, CHN
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    Short-cycle structures in quasi-cyclic low-density parity-check (QC-LDPC) codes can significantly degrade error correction. Thus, a novel construction method using QC-LDPC codes with girth-8 based on the search algorithm of the subtraction construction (SC) is proposed in this study. This method employs the search algorithm of the SC to design QC-LDPC codes with a girth of at least 8. In the construction method, the first row is first fixed based on the Golomb Ruler sequence, whereas the subsequent two rows are derived using the search algorithm of the SC. This results in the formation of an exponent matrix that satisfies the condition without girth-4 and girth-6, thus yielding the parity-check matrix. Simulation results show that, compared with other QC-LDPC codes of the same code rate and length, the constructed SC-QC-LDPC code can improve the minimum net coding gains of 0.23 and 0.12 dB for code lengths of 1 200 and 3 600, respectively, at a bit error rate of 10−6. This shows that the proposed construction method performs better at improving the error-correction performance. Furthermore, it allows the selection of various code lengths and rates while maintaining low computational complexity.

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    YUAN Jianguo, YANG Ting, FU Bowen, XIONG Longyu. Novel Construction Method Using QC-LDPC Codes with Girth-8 Based on Search Algorithm of Subtraction Construction[J]. Semiconductor Optoelectronics, 2025, 46(2): 336

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    Paper Information

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    Received: Nov. 1, 2024

    Accepted: Sep. 18, 2025

    Published Online: Sep. 18, 2025

    The Author Email:

    DOI:10.16818/j.issn1001-5868.20241101001

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