Skip to main content
SpringerLink
Log in

Two classes of QC-LDPC cycle codes approaching Gallager lower bound

  • Letter
  • Published:
Science China Information Sciences Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Chen C, Bai B, Shi G, et al. Nonbinary LDPC codes on cages: structural property and code optimization. IEEE Trans Commun, 2015, 63: 364–375

    Article  Google Scholar 

  2. Li J, Liu K, Lin S, et al. A matrix-theoretic approach to the construction of non-binary quasi-cyclic LDPC codes. IEEE Trans Commun, 2015, 63: 1057–1068

    Article  Google Scholar 

  3. Zhao S, Huang X, Ma X. Structural analysis of arraybased non-binary LDPC codes. IEEE Trans Commun, 2016, 64: 4910–4922

    Article  Google Scholar 

  4. Huang Q, Song L, Wang Z. Set message-passing decoding algorithms for regular non-binary LDPC codes. IEEE Trans Commun, 2017, 65: 5110–5122

    Article  Google Scholar 

  5. Xu H, Chen C, Zhu M, et al. Nonbinary LDPC cycle codes: efficient search, design, and code optimization. Sci China Inf Sci, 2018, 61: 089303

    Article  MathSciNet  Google Scholar 

  6. Kim S, No J, Chung H, et al. Quasi-cyclic low-density parity-check codes with girth larger than 12. IEEE Trans Inform Theor, 2007, 53: 2885–2891

    Article  MathSciNet  MATH  Google Scholar 

  7. Tasdighi A, Banihashemi A H, Sadeghi M R. Efficient search of girth-optimal QC-LDPC codes. IEEE Trans Inform Theor, 2016, 62: 1552–1564

    Article  MathSciNet  MATH  Google Scholar 

  8. Chen C, Bai B, Wang X. Construction of nonbinary quasi-cyclic LDPC cycle codes based on singer perfect difference set. IEEE Commun Lett, 2010, 14: 181–183

    Article  Google Scholar 

  9. Amirzade F, Sadeghi M R. Lower bounds on the lifting degree of QC-LDPC codes by difference matrices. IEEE Access, 2018, 6: 23688–23700

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Network Engineering, Zhoukou Normal University, Zhoukou, 466001, China

    Hengzhou Xu, Mengmeng Xu & Hai Zhu

  2. State Key Laboratory of Integrated Services Networks, Xidian University, Xi’an, 710071, China

    Hengzhou Xu, Huaan Li & Dan Feng

Authors
  1. Hengzhou Xu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Huaan Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Mengmeng Xu
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Dan Feng
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Hai Zhu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to Hengzhou Xu or Hai Zhu.

Additional information

Acknowledgements

This work was supported in part by National Natural Science Foundation of China (Grant Nos. 61801527, 61701368, U1504601).

Supporting information

Appendixes A–C. The supporting information is available online at info.scichina.com and link.springer.com. The supporting materials are published as submitted, without typesetting or editing. The responsibility for scientific accuracy and content remains entirely with the authors.

Electronic supplementary material

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Xu, H., Li, H., Xu, M. et al. Two classes of QC-LDPC cycle codes approaching Gallager lower bound. Sci. China Inf. Sci. 62, 209305 (2019). https://doi.org/10.1007/s11432-018-9778-x

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s11432-018-9778-x

Search

Navigation