GLDPC codes with Reed-Muller component codes suitable for optical communications

Ivan B. Djordjevic, Lei Xu, Ting Wang, Milorad Cvijetic

Research output: Contribution to journalArticlepeer-review

37 Scopus citations


In this paper, we consider the GLDPC codes with Reed-Muller (RM) and Bose-Chaudhuri-Hocquenghem (BCH) codes as component codes. GLDPC codes with RM codes as component codes is an attractive option for high-speed optical transmission because they provide excellent coding gains, while the RM codes can be decoded using low-complexity maximum a posteriori probability (MAP) decoding based on fast Walsh- Hadamard transform. Several classes of GLDPC codes (with component RM or BCH codes) outperforming the turbo product codes in terms of decoding complexity and coding gain are presented. We also identify several turbo product codes suitable for use in optical communications.

Original languageEnglish (US)
Pages (from-to)684-686
Number of pages3
JournalIEEE Communications Letters
Issue number9
StatePublished - 2008
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Computer Science Applications
  • Electrical and Electronic Engineering


  • BCH codes
  • Generalized low-density parity-check codes
  • Optical communications, Reed-Muller (RM) codes
  • Turbo-product codes
  • Walsh-Hadamard transform


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