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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