Understand how to make wireless communication networks, digital storage systems and computer networks robust and reliable in the first unified, comprehensive treatment of erasure correcting codes. Data loss is unavoidable in modern computer networks; as such, data recovery can be crucial and these codes can play a central role. Through a focused, detailed approach, you will gain a solid understanding of the theory and the practical knowledge to analyze, design and implement erasure codes for future computer networks and digital storage systems. Starting with essential concepts from algebra and classical coding theory, the book provides specific code descriptions and efficient design methods, with practical applications and advanced techniques stemming from cutting-edge research. This is an accessible and self-contained reference, invaluable to both theorists and practitioners in electrical engineering, computer science and mathematics.
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A first-of-its-kind resource for analyzing, designing and implementing erasure codes for future computer networks.
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.
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.
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