Structured low-density parity-check codes for next-generation digital communications

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The promise of essentially error-free information transmission is a cornerstone of digital communications. Next-generation applications demand increasingly effective error correction, yet traditional systems fall well short of fundamental capacity limits established some fifty years ago. Exciting breakthroughs in the mid-1990s delivered capacity-approaching codes on graphs employing iterative decoding algorithms, including low-density parity-check (LDPC) codes. This project applies techniques from discrete mathematics to design structured LDPC coding schemes for widespread implementation. Outcomes of this research will be new LDPC codes, encoding algorithms and analysis techniques for applications including wireless networks, data storage and Internet communications.