Efficient Decoder for Turbo Product Codes Based on Quadratic Residue Codes

In this letter, we study turbo product codes with quadratic residue codes (called QR-TPCs) as the component codes. We propose an efficient decoder based on Chase-II algorithm with two convergence conditions for the iterative decoding of QR-TPCs. For each row and column, the Chase-II decoder will sto...

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Main Authors: Jie Dong, Yong Li, Rui Liu, Taolin Guo, Francis C. M. Lau
Format: Article
Language:English
Published: MDPI AG 2022-11-01
Series:Electronics
Subjects:
Online Access:https://www.mdpi.com/2079-9292/11/21/3598
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author Jie Dong
Yong Li
Rui Liu
Taolin Guo
Francis C. M. Lau
author_facet Jie Dong
Yong Li
Rui Liu
Taolin Guo
Francis C. M. Lau
author_sort Jie Dong
collection DOAJ
description In this letter, we study turbo product codes with quadratic residue codes (called QR-TPCs) as the component codes. We propose an efficient decoder based on Chase-II algorithm with two convergence conditions for the iterative decoding of QR-TPCs. For each row and column, the Chase-II decoder will stop immediately when one of the conditions is met. The simulation results show that the proposed algorithm has a lower computational complexity compared with existing decoding methods. Moreover, a comparison with 5G low-density parity-check codes shows that the proposed turbo product codes have better performance for short code lengths.
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spelling doaj.art-171a6946146c4ae3b5ff1d6754fe533b2023-11-24T04:26:30ZengMDPI AGElectronics2079-92922022-11-011121359810.3390/electronics11213598Efficient Decoder for Turbo Product Codes Based on Quadratic Residue CodesJie Dong0Yong Li1Rui Liu2Taolin Guo3Francis C. M. Lau4College of Computer Science, Chongqing University, Chongqing 400044, ChinaCollege of Computer Science, Chongqing University, Chongqing 400044, ChinaCollege of Computer Science, Chongqing University, Chongqing 400044, ChinaCollege of Computer Science, Chongqing University, Chongqing 400044, ChinaDepartment of Electronic and Information Engineering, The Hong Kong Polytechnic University, Hong Kong, ChinaIn this letter, we study turbo product codes with quadratic residue codes (called QR-TPCs) as the component codes. We propose an efficient decoder based on Chase-II algorithm with two convergence conditions for the iterative decoding of QR-TPCs. For each row and column, the Chase-II decoder will stop immediately when one of the conditions is met. The simulation results show that the proposed algorithm has a lower computational complexity compared with existing decoding methods. Moreover, a comparison with 5G low-density parity-check codes shows that the proposed turbo product codes have better performance for short code lengths.https://www.mdpi.com/2079-9292/11/21/3598Chase algorithmefficient decodingquadratic residue codesturbo product codes
spellingShingle Jie Dong
Yong Li
Rui Liu
Taolin Guo
Francis C. M. Lau
Efficient Decoder for Turbo Product Codes Based on Quadratic Residue Codes
Electronics
Chase algorithm
efficient decoding
quadratic residue codes
turbo product codes
title Efficient Decoder for Turbo Product Codes Based on Quadratic Residue Codes
title_full Efficient Decoder for Turbo Product Codes Based on Quadratic Residue Codes
title_fullStr Efficient Decoder for Turbo Product Codes Based on Quadratic Residue Codes
title_full_unstemmed Efficient Decoder for Turbo Product Codes Based on Quadratic Residue Codes
title_short Efficient Decoder for Turbo Product Codes Based on Quadratic Residue Codes
title_sort efficient decoder for turbo product codes based on quadratic residue codes
topic Chase algorithm
efficient decoding
quadratic residue codes
turbo product codes
url https://www.mdpi.com/2079-9292/11/21/3598
work_keys_str_mv AT jiedong efficientdecoderforturboproductcodesbasedonquadraticresiduecodes
AT yongli efficientdecoderforturboproductcodesbasedonquadraticresiduecodes
AT ruiliu efficientdecoderforturboproductcodesbasedonquadraticresiduecodes
AT taolinguo efficientdecoderforturboproductcodesbasedonquadraticresiduecodes
AT franciscmlau efficientdecoderforturboproductcodesbasedonquadraticresiduecodes