Quantum LDPC codes from balanced incomplete block designs

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55 Scopus citations


We present a series of structured LDPC codes suitable for use in quantum error correction. Those codes belong to the class of dual-containing Calderbank-Shor-Steane (CSS) codes. The component CSS code is designed using the combinatorial object known as balanced incomplete block design (BIBD) with an even index. The quantum LDPC codes have the rate around 0.9. Several examples of quantum LDPC codes from BIBDs from unity index, extended by addition of an allones column, are introduced as well. To improve the BER performance, we employed the method of removing the cycles of length four in corresponding bipartite graph.

Original languageEnglish (US)
Pages (from-to)389-391
Number of pages3
JournalIEEE Communications Letters
Issue number5
StatePublished - May 2008


  • Calderbank-Shor-Steane codes
  • Low-density parity-check (LDPC) codes
  • Quantum error-correction

ASJC Scopus subject areas

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


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