Coding for Erasure Channels

Marco Chiani is a Professor of Information Theory at the University of Bologna, Italy. He is an IEEE Fellow, and a Research Affiliate at MIT. He received the IEEE Abraham Prize, Ellersick Prize, and Rice Prize. Gianluigi Liva is Leader of the Information Transmission Group at the German Aerospace Center, and lectures on graph-based coding theory at the Technical University of Munich, Germany. He is an IEEE Senior Member, and serves as associated editor for the IEEE Transactions on Communications. Enrico Paolini is Associate Professor in the Department of Electrical, Electronic and Information Engineering at the University of Bologna, Italy, and is an IEEE Senior member.

• 1. Introduction; 2. Basics; 3. Erasure channel modes and bounds; 4. Low-density parity-check codes; 5. Weight distribution and minimum distance of LDPC codes; 6. Iterative and maximum-likelihood decoding of LDPC codes; 7. Iterative LDPC decoder analysis; 8. Maximum-likelihood LDPC decoder analysis; 9. Low-density parity-check codes: generalisations; 10. Polar codes; 11. Fountain codes; Appendix A; Appendix B.

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