Essays on Coding Theory
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Product details:
- Publisher Cambridge University Press
- Date of Publication 14 March 2024
- ISBN 9781009283373
- Binding Hardback
- No. of pages474 pages
- Size 234x158x30 mm
- Weight 840 g
- Language English 714
Categories
Short description:
Brief informal introductions to coding techniques developed for the storage, retrieval, and transmission of large amounts of data.
MoreLong description:
Critical coding techniques have developed over the past few decades for data storage, retrieval and transmission systems, significantly mitigating costs for governments and corporations that maintain server systems containing large amounts of data. This book surveys the basic ideas of these coding techniques, which tend not to be covered in the graduate curricula, including pointers to further reading. Written in an informal style, it avoids detailed coverage of proofs, making it an ideal refresher or brief introduction for students and researchers in academia and industry who may not have the time to commit to understanding them deeply. Topics covered include fountain codes designed for large file downloads; LDPC and polar codes for error correction; network, rank metric, and subspace codes for the transmission of data through networks; post-quantum computing; and quantum error correction. Readers are assumed to have taken basic courses on algebraic coding and information theory.
'This book is an essential resource for graduate students, researchers, and professionals delving into contemporary topics in coding theory not always covered in textbooks. Each expertly-crafted essay offers a clear explanation of the fundamental concepts, summarizing key results with a consistent notation, and providing valuable references for further exploration.' Frank R. Kschischang, University of Toronto
Table of Contents:
Preface; 1. Introduction; 2. Coding for erasures and fountain codes; 3. Low density parity check codes; 4. Polar codes; 5. Network codes; 6. Coding for distributed storage; 7. Locally repairable codes; 8. Locally decodable codes; 9. Private information retrieval; 10. Batch codes; 11. Expander codes; 12. Rank metric and subspace codes; 13. List decoding; 14. Sequences sets with low correlation; 15. Post-quantum cryptography; 16. Quantum error correcting codes; 17. Other types of coding; Appendix A: Finite geometries, linearized polynomials and Gaussian coefficients; Appendix B: Hasse derivatives and zeros of multivariate polynomials; References; Index.
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