• Low-Density Parity-Check Codes Which Can Correct Three Errors Under Iterative Decoding

      Vasic, Bane; Marcellin, Michael W.; Krishnan, Anantha Raman; Chilappagari, Shashi Kiran; University of Arizona (International Foundation for Telemetering, 2009-10)
      In this paper, we give necessary and sufficient conditions for low-density parity-check (LDPC) codes with column-weight four to correct three errors when decoded using hard-decision message-passing decoding. We then give a construction technique which results in codes satisfying these conditions. We also provide numerical assessment of code performance via simulation results.