Block-circulant low-density parity-check codes for optical communication systems

Olgica Milenkovic, Ivan B. Djordjevic, Bane Vasic

Research output: Contribution to journalArticlepeer-review

66 Scopus citations


A novel family of structured low-density parity-check (LDPC) codes with block-circulant parity-check matrices that consist of permutation blocks is proposed. The codes from this family are based on new combinatorial objects termed cycle-invariant difference sets, and they have low storage requirements, fast encoding algorithms, and girth of at least six. Most importantly, they tend to outperform many other known structured LDPCs of comparable rate and length.

Original languageEnglish (US)
Pages (from-to)294-299
Number of pages6
JournalIEEE Journal on Selected Topics in Quantum Electronics
Issue number2
StatePublished - Mar 2004


  • Cycle-invariant difference sets
  • Forward error correction
  • Low-density parity-check codes
  • Optical communications

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Electrical and Electronic Engineering


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