Skip to main content

Key-Controlled PEG-LDPC Algorithm Design and Its Application in Secure Communication

  • Conference paper
  • First Online:
Communications, Signal Processing, and Systems (CSPS 2018)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 517))

  • 2330 Accesses

Abstract

Because of the security of the symmetric cryptosystem, a secure communication scheme based on PEG-LDPC codes has been put forward in this paper. The secure and reliable integrated communication is based on hiding and changing generator matrix randomly and simultaneously under the premise of ensuring error correction ability of LDPC codes. The performance of LDPC codes constructed by PEG algorithm is excellent, and this algorithm can construct an LDPC code with arbitrary code length and code rate.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 139.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 179.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 249.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Lobstein, A., Cohen, G.: On the inherent intractability of certain coding problems. Rairo Inform. Théor. Appl (1), 25–32 (1987)

    Google Scholar 

  2. Mceliece, R.J.: A public-key cryptosystem based on algebraic coding theory. Deep. Space Netw. Prog. Rep. 44, 114–116 (1978)

    Google Scholar 

  3. Wang, X.M.: Generalization of M public key system and analysis of its performance on noisy. Acta Electron. Sin. (4), 84–91 (1986)

    Google Scholar 

  4. Rao, T.N.R.: Joint encryption and error correction schemes. In: Proceedings of the 11th annual international symposium on Computer Architecture, Ann Arbor, Mich, vol. 12 no. 3, pp. 240–241 (1984)

    Google Scholar 

  5. Leng, W.Y.: Research on McEliece cryptosystem based on LDPC codes. Beijing Univ. Posts Telecommun. 1–6 (2011)

    Google Scholar 

  6. Shi, Z.P.: Research on secure and reliable communication method based on LDPC codes. Univ. Electron. Sci. Technol. China (5), 641–647 (2017)

    Google Scholar 

  7. Jiang, D.S., Jin, L.J.: Research on synchronization technique for a high-speed FH communication system. J. Univ. Electron. Sci. Technol. China 1(34), 48–52 (2005)

    Google Scholar 

  8. Zhao, D.F.: An improved PEG construction algorithm for LDPC codes. Appl. Technol. 35(8), 9–11 (2008)

    Google Scholar 

  9. Richardson, T.J., Urbanke, R.L.: Efficient encoding of low-density parity-check codes. IEEE Trans. Inf. Theory 47(2), 638–656 (2002)

    Google Scholar 

Download references

Acknowledgement

This work was in part supported by the Sichuan key research and development project under grand 19ZDYF0489.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zhiping Shi .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Shi, Z., Zhang, S., Lyu, F., Bu, F., Sun, H., Zhang, Q. (2020). Key-Controlled PEG-LDPC Algorithm Design and Its Application in Secure Communication. In: Liang, Q., Liu, X., Na, Z., Wang, W., Mu, J., Zhang, B. (eds) Communications, Signal Processing, and Systems. CSPS 2018. Lecture Notes in Electrical Engineering, vol 517. Springer, Singapore. https://doi.org/10.1007/978-981-13-6508-9_125

Download citation

  • DOI: https://doi.org/10.1007/978-981-13-6508-9_125

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-6507-2

  • Online ISBN: 978-981-13-6508-9

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics