图书简介
Most coding theory experts date the origination of the subject with the 1948 publication of “A mathematical theory of communication,” by Claude Shannon. Since then, coding theory has grown into a discipline intersecting mathematics and engineering with applications to almost every area of communication such as satellite and deep space data transmission, cellular telephone communication, compact disc recording, and data storage. Most topics in the book will be presented in short sections at an introductory level with few proofs; many examples and references will be given by the authors.
Part I. Coding Fundamentals 1. Basics of Coding Theory W. Cary Huffman, Jon-Lark Kim, and Patrick Sole 2. Cyclic Codes over Finite Fields Cunsheng Ding 3. Construction and Classification of Codes. Patric R. J. OEstergard 4. Self-Dual Codes Stefka Bouyuklieva 5. Codes and Designs Vladimir D. Tonchev 6. Codes over Rings Steven T. Dougherty 7. Quasi-Cyclic Codes Cem Guneri, San Ling, and Buket OEzkaya 8. Introduction to Skew-Polynomial Rings and Skew-Cyclic Codes Heide Gluesing-Luerssen 9. Additive Cyclic Codes Jurgen Bierbrauer, Stefano Marcugini, and Fernanda Pambianco 10. Convolutional Codes Julia Lieb, Raquel Pinto, and Joachim Rosenthal 11. Rank-Metric Codes Elisa Gorla 12. Linear Programming Bounds Peter Boyvalenkov and Danyo Danev 13. Semidefinite Programming Bounds for Error-Correcting Codes Frank Vallentin Part II. Families of Codes 14. Coding Theory and Galois Geometries Leo Storme 15. Algebraic Geometry Codes and Some Applications Alain Couvreur and Hugues Randriambololona 16. Codes in Group Algebras Wolfgang Willems 17. Constacyclic Codes over Finite Commutative Chain Rings Hai Q. Dinh and Sergio R. Lopez-Permouth 18. Weight Distribution of Trace Codes over Finite Rings Minjia Shi 19. Two-Weight Codes Andries E. Brouwer 20. Linear Codes from Functions Sihem Mesnager 21. Codes over Graphs Christine A. Kelley Part III. Applications 22. Alternative Metrics Marcelo Firer 23. Algorithmic Methods Alfred Wassermann 24. Interpolation Decoding Swastik Kopparty 25. Pseudo-Noise Sequences Tor Helleseth and Chunlei Li 26. Lattice Coding Frederique Oggier 27. Quantum Error-Control Codes Martianus Frederic Ezerman 28. Space-Time Coding Frederique Oggier 29. Network Codes Frank R. Kschischang 30. Coding for Erasures and Fountain Codes Ian F. Blake 31. Codes for Distributed Storage Vinayak Ramkumar, Myna Vajha, S. B. Balaji, M. Nikhil Krishnan, Birenjith Sasidharan, and P. Vijay Kumar 32. Polar Codes Noam Presman and Simon Litsyn 33. Secret Sharing with Linear Codes Cunsheng Ding 34. Code-Based Cryptography Philippe Gaborit and Jean-Christophe Deneuville Bibliography Index
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