Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Bandaoti guangdian

A Construction Method of QC-LDPC Codes Based on Finite Field Cyclic Subgroup for Optical Communications

Yuan Jiangu

Published Jan 1, 2013• 0 citations
OpenAlex

Abstract

A construction method of Quasi-Cyclic Low-Density Parity-Check(QC-LDPC) codes based on cyclic subgroups of finite field is proposed.The method owns the advantages such as easier construction,more flexible adjustment on code-length and code-rate and lower encoding/ decoding complexity.Moreover,a regular QC-LDPC(5334,4955)code suitable for optical communication systems is constructed by this construction method.The simulation results show that the code can gain good performance under the condition of additive white Gaussian noise(AWGN)channel with iterative decoding sum-product algorithm(SPA).The error-correction performance of the QC-LDPC(5334,4955)code is better than that of the classic RS(255,239) code which is widely used in optical communication system.Therefore,the constructed QC-LDPC(5334,4955)code can be better suitable for the long-haul and high-speed optical communication systems.

Related papers

A novel construction method of QC-LDPC codes based on Galois field multiplicative group

Yong Wang

A novel construction method with the advantages of simple construction and easy implementation encoding for quasi-cyclic low-density parity-check(QC-LDPC) codes based on Galois field(GF(q)) multiplicative group is proposed.This algorithm can flexibly adjust code length and code rate Furthermore,the complexity of the encoding and decoding is low.An irregular QC-LDPC(3843,3603) code suitable for optical communication systems is constructed by applying the proposed construction method.The simulation results show that the error-correction performance of the QC-LDPC(3843,3603) code is better than that of the classic RS(255,239) code,the LDPC code constructed by the SCG construction method,and the regular QC-LDPC(4221,3956) code.So the QC-LDPC(3843,3603) code is suitable for the high-speed long-haul optical communication systems.

Journal of Optoelectronics·laser•Jan 1, 2012•0 citations

A novel construction method of the QC-LDPC code based on finite field additive group for optical communications

Yong Wang

Based on finite field(GF(q)) additive group,a novel construction method with the advantages of simple construction and easy implementation of quasi-cyclic low-density parity-check(QC-LDPC) codes for optical communication systems is proposed in order to meet the increasing requirement on the transmission characteristics.The novel construction method can flexibly adjust the code-length and code-rate,and furthermore,the complexity of the encoding and decoding in lower.A regular QC-LDPC(4599,4307) code to be suitable for optical communication systems is constructed by applying the proposed method.The simulation results show that at the condition of the bit error rate(BER) of 10-7 and the same code rate of 93.7%,the net coding gain(NCG) of the constructed QC-LDPC(4599,4307) code is 2.2 dB more than that of the classic RS(255,239) code which has widely been applied in optical communication systems,and 0.47 dB and 0.25 dB more than those of the SCG-LDPC(3969,3720) code constructed by the systematically constructed gallager(SCG) construction method and the irregular QC-LDPC(3843,3603) code respectively,and is 1 dB away from the Shannon limit.Therefore,the novel QC-LDPC(4599,4307) code has superior error-correction performance and is more suitable for the high-speed long-haul optical communication systems.

Journal of Optoelectronics·laser•Jan 1, 2013•0 citations

Construction of QC LDPC codes Based on Cyclic Subgroup over GF(q)

Xiaotao Deng, Jun Gao, Gaoqi Dou

In this paper, we proposed a novel method for constructing quasi-cyclic low-density parity-check (QC LDPC) codes based on cyclic subgroup over GF(q) . LDPC codes constructed by this method are quasi-cyclic (QC) and they perform very well over the additive white Gaussian noise (AWGN) with sum product algorithm (SPA). The main advantage is that QC LDPC codes with a variety of block lengths and rates can be easily constructed with no cycles of length four or less. Simulation results show that the proposed QC LDPC codes perform slight better than the random regular LDPC codes for short to moderate block lengths. Since the codes are QC, they can be encoded using simple shift registers with linear complexity.

International Conference on Wireless Communications, Networking and Mobile Computing•Sep 1, 2009•0 citations

A novel construction method of QC-LDPC codes for optical com munications based on the BIBD and circulant decomposition

Yuan Jiangu

In order to meet the requirements of the high bit-rate and the lower bit error-rate of the errorcorrection code in optical communication systems,based on the balanced incomplete block design(BIBD) and the circulant decomposition in this paper,a novel construction method of quasi-cyclic low-density parity-check(QC-LDPC)codes with the advantage of the simple implementation is proposed.A regular BIBDdes-QC-LDPC(6736,6316)code suitable for optical communication systems is constructed by applying the proposed method.The simulation results show that at the bit error rate(BER)of 10-6 and the same code rate of 93.7%,the net coding gain(NCG)of the constructed BIBDdes-QC-LDPC(6736,6316)code is 2.2dB more than that of the classic RS(255,239)code which has been widely used in optical communication systems,and 0.2dB more than that of the BIBD-QC-LDPC(6736,6315)code with the same code length and the same code-rate constructed only by the BIBD method and that of the irregular QC-LDPC(3843,3603)code with the same code-rate based on Galois field multiplicative group.Therefore,the novel BIBDdes-QC-LDPC(6736,6316)code has superior error-correction performance and is more suitable for the high-speed long-haul optical communication systems.And the novel construction method still has the advantage of the BIBD method which can flexibly adjust the code length and code rate.

Journal of Optoelectronics·laser•Jan 1, 2013•1 citation

Study on QC-LDPC Codes Based on BIBD for Optical Communication Systems

Yong Wang

Based on the Balanced Incomplete Block Design(BIBD),a novel construction method of Quasi-Cyclic Low-Density Parity-Check(QC-LDPC) codes is further analyzed and researched.And the three QC-LDPC codes with the same code-rate and different code-length are constructed by applying the proposed method.The simulation analysis shows that under the condition of the same code-rate,the QC-LDPC code with the longer code-length has better error-correction performance.Simultaneously,at the condition of the bit error rate(BER) of 10-6 and the same code rate of 93.7%,the net coding gain(NCG) of the constructed BIBD-QC-LDPC(5392,5056) code is respectively 2.13 dB and 1.41 dB higher than that of the classic RS(255,239) code widely used in optical communication systems and that of the LDPC(32640,30592) code in ITU-T G.975.1.Therefore,the BIBD-QC-LDPC(5392,5056) code has much superior error-correction performance and is better suitable for high-speed long-haul optical communication systems.

Bandaoti guangdian•Jan 1, 2013•0 citations

Performance Analysis of NB-QC-LDPC Code for High-Speed Optical Communication Systems

Zhiqiang Lin, Jianyong Zhang

In the paper, we construct the non-binary quasi-cyclic low-density parity check (NB-QC-LDPC) code from the quasi-cyclic low-density parity check (QC-LDPC) code. The NB-QC-LDPC code over the Galois field GF(4) is suitable for 100Gb/s optical communication systems with QPSK or DQPSK modulation formats. We also study the bit error ratio (BER) performance of the NB-QC-LDPC code by using the Log-Fourier Sum and Product decoding algorithm (LFSPA). The numerical results show that the NB-QC-LDPC code with code length 500 can provide approximately 5.5dB coding gain at the BER of 910- and outperform QC-LDPC code by 0.7dB.

International Conference on Electronics, Communications and Control•Oct 16, 2012•0 citations
A construction method of Quasi-Cyclic Low-Density Parity-Check(QC-LDPC) codes based on cyclic subgroups of finite field is proposed.The method owns the advantages such as easier construction,more flexible adjustment on code-length and code-rate and lower encoding/ decoding complexity.Moreover,a regular QC-LDPC(5334,4955)code suitable for optical communication systems is constructed by this construction method.The simulation results show that the code can gain good performance under the condition of additive white Gaussian noise(AWGN)channel with iterative decoding sum-product algorithm(SPA).The error-correction performance of the QC-LDPC(5334,4955)code is better than that of the classic RS(255,239) code which is widely used in optical communication system.Therefore,the constructed QC-LDPC(5334,4955)code can be better suitable for the long-haul and high-speed optical communication systems.
A novel construction method with the advantages of simple construction and easy implementation encoding for quasi-cyclic low-density parity-check(QC-LDPC) codes based on Galois field(GF(q)) multiplicative group is proposed.This algorithm can flexibly adjust code length and code rate Furthermore,the complexity of the encoding and decoding is low.An irregular QC-LDPC(3843,3603) code suitable for optical communication systems is constructed by applying the proposed construction method.The simulation results show that the error-correction performance of the QC-LDPC(3843,3603) code is better than that of the classic RS(255,239) code,the LDPC code constructed by the SCG construction method,and the regular QC-LDPC(4221,3956) code.So the QC-LDPC(3843,3603) code is suitable for the high-speed long-haul optical communication systems.
Based on finite field(GF(q)) additive group,a novel construction method with the advantages of simple construction and easy implementation of quasi-cyclic low-density parity-check(QC-LDPC) codes for optical communication systems is proposed in order to meet the increasing requirement on the transmission characteristics.The novel construction method can flexibly adjust the code-length and code-rate,and furthermore,the complexity of the encoding and decoding in lower.A regular QC-LDPC(4599,4307) code to be suitable for optical communication systems is constructed by applying the proposed method.The simulation results show that at the condition of the bit error rate(BER) of 10-7 and the same code rate of 93.7%,the net coding gain(NCG) of the constructed QC-LDPC(4599,4307) code is 2.2 dB more than that of the classic RS(255,239) code which has widely been applied in optical communication systems,and 0.47 dB and 0.25 dB more than those of the SCG-LDPC(3969,3720) code constructed by the systematically constructed gallager(SCG) construction method and the irregular QC-LDPC(3843,3603) code respectively,and is 1 dB away from the Shannon limit.Therefore,the novel QC-LDPC(4599,4307) code has superior error-correction performance and is more suitable for the high-speed long-haul optical communication systems.
In this paper, we proposed a novel method for constructing quasi-cyclic low-density parity-check (QC LDPC) codes based on cyclic subgroup over GF(q) . LDPC codes constructed by this method are quasi-cyclic (QC) and they perform very well over the additive white Gaussian noise (AWGN) with sum product algorithm (SPA). The main advantage is that QC LDPC codes with a variety of block lengths and rates can be easily constructed with no cycles of length four or less. Simulation results show that the proposed QC LDPC codes perform slight better than the random regular LDPC codes for short to moderate block lengths. Since the codes are QC, they can be encoded using simple shift registers with linear complexity.
In order to meet the requirements of the high bit-rate and the lower bit error-rate of the errorcorrection code in optical communication systems,based on the balanced incomplete block design(BIBD) and the circulant decomposition in this paper,a novel construction method of quasi-cyclic low-density parity-check(QC-LDPC)codes with the advantage of the simple implementation is proposed.A regular BIBDdes-QC-LDPC(6736,6316)code suitable for optical communication systems is constructed by applying the proposed method.The simulation results show that at the bit error rate(BER)of 10-6 and the same code rate of 93.7%,the net coding gain(NCG)of the constructed BIBDdes-QC-LDPC(6736,6316)code is 2.2dB more than that of the classic RS(255,239)code which has been widely used in optical communication systems,and 0.2dB more than that of the BIBD-QC-LDPC(6736,6315)code with the same code length and the same code-rate constructed only by the BIBD method and that of the irregular QC-LDPC(3843,3603)code with the same code-rate based on Galois field multiplicative group.Therefore,the novel BIBDdes-QC-LDPC(6736,6316)code has superior error-correction performance and is more suitable for the high-speed long-haul optical communication systems.And the novel construction method still has the advantage of the BIBD method which can flexibly adjust the code length and code rate.
Based on the Balanced Incomplete Block Design(BIBD),a novel construction method of Quasi-Cyclic Low-Density Parity-Check(QC-LDPC) codes is further analyzed and researched.And the three QC-LDPC codes with the same code-rate and different code-length are constructed by applying the proposed method.The simulation analysis shows that under the condition of the same code-rate,the QC-LDPC code with the longer code-length has better error-correction performance.Simultaneously,at the condition of the bit error rate(BER) of 10-6 and the same code rate of 93.7%,the net coding gain(NCG) of the constructed BIBD-QC-LDPC(5392,5056) code is respectively 2.13 dB and 1.41 dB higher than that of the classic RS(255,239) code widely used in optical communication systems and that of the LDPC(32640,30592) code in ITU-T G.975.1.Therefore,the BIBD-QC-LDPC(5392,5056) code has much superior error-correction performance and is better suitable for high-speed long-haul optical communication systems.
In the paper, we construct the non-binary quasi-cyclic low-density parity check (NB-QC-LDPC) code from the quasi-cyclic low-density parity check (QC-LDPC) code. The NB-QC-LDPC code over the Galois field GF(4) is suitable for 100Gb/s optical communication systems with QPSK or DQPSK modulation formats. We also study the bit error ratio (BER) performance of the NB-QC-LDPC code by using the Log-Fourier Sum and Product decoding algorithm (LFSPA). The numerical results show that the NB-QC-LDPC code with code length 500 can provide approximately 5.5dB coding gain at the BER of 910- and outperform QC-LDPC code by 0.7dB.