Nothing Special   »   [go: up one dir, main page]

Skip to main content

A Simple Soft-Input/Soft-Output Decoder for Hamming Codes

  • Conference paper
  • First Online:
Cryptography and Coding (Cryptography and Coding 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2260))

Included in the following conference series:

Abstract

In an earlier paper, bit flipping methods for decoding low-density parity-check (LDPC) codes on the binary symmetric channel were adapted for generalised LDPC (GLDPC) codes with Hamming sub-codes. We now employ the analysis of this weighted bit flipping method to develop a simple softinput/ soft-output decoder for Hamming codes based on a conventional hard decision decoder. Simulation results are presented for decoding of both product codes and GLDPCs on the AWGN channel using the proposed decoder. At higher rates the indications are that good performance is possible at very low decoding complexity.

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

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Berrou, C., and Glavieux, A.,“Near optimum error correcting coding and decoding: turbocodes”, IEEE Trans. Commun., vol. 44, no. 10, pp. 1261–1271, Oct. 1996.

    Article  Google Scholar 

  2. Hirst, S., and Honary, B., “Approaching cut-off rate on the binary symmetric channel using weighted bit flipping”, Proc. of 6 th Int. Symp. Commun. Theory & Applic. (ISCTA’ 01), pp. 375–380, Ambleside, UK, July2001.

    Google Scholar 

  3. Hirst, S., and Honary, B., “Decoding of generalised low-density parity-check codes using weighted bit flip voting”, To appear in IEE Proc. Commun..

    Google Scholar 

  4. Kou, Y., Lin, S., and Fossorier, M. P. C., “Low density parity check codes based on finite geometries: a rediscovery and more”, Submitted to IEEE Trans. Inform. Theory..

    Google Scholar 

  5. Lentmaier, M., and Zigangirov, K. Sh., “On generalised low-density parity-check codes based on Hamming component codes”, IEEE Commun. Letters, vol. 3, no. 8, pp. 248–250, Aug. 1999.

    Article  Google Scholar 

  6. MacKay, D. J. C., “Good error-correcting codes based on very sparse matrices”, IEEE Trans. Inform. Theory, vol. 45, no. 2, pp. 399–431, Mar. 1999.

    Article  MATH  MathSciNet  Google Scholar 

  7. Sipser, M., and Spielman, D. A., “Expander codes”, IEEE Trans. Inform. Theory, vol. 42, no. 6, pp. 1710–1722, Nov. 1996.

    Article  MATH  MathSciNet  Google Scholar 

  8. Tanner, R. M., “A recursive approach to low complexity codes”, IEEE Trans. Inform. Theory, vol. IT-27, no. 5, pp. 533–547, Sept. 1981.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Hirst, S., Honary, B. (2001). A Simple Soft-Input/Soft-Output Decoder for Hamming Codes. In: Honary, B. (eds) Cryptography and Coding. Cryptography and Coding 2001. Lecture Notes in Computer Science, vol 2260. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45325-3_5

Download citation

  • DOI: https://doi.org/10.1007/3-540-45325-3_5

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43026-1

  • Online ISBN: 978-3-540-45325-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics