Concise Encyclopedia of Coding Theory
W. Cary Huffman (Redaktør) ; JonLark Kim (Redaktør) ; Patrick Solé (Redaktør)
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Most topics covered in the Concise Encyclopedia of Coding Theory are presented in short sections at an introductory level and progress from basic to advanced level, with definitions, examples, and many references.
The book is divided into three parts:
Part I fundamentals: cyclic codes, skew cyclic codes, quasicyclic codes, selfdual codes, codes and designs, codes over rings, convolutional codes, performance bounds
Part II families: AG codes, group algebra codes, fewweight codes, Boolean function codes, codes over graphs
Part III applications: alternative metrics, algorithmic techniques, interpolation decoding, pseudorandom sequences, lattices, quantum coding, spacetime codes, network coding, distributed storage, secretsharing, and codebasedcryptography.
Features
Suitable for students and researchers in a wide range of mathematical disciplines
Contains many examples and references
Most topics take the reader to the frontiers of research
 FAKTA

Utgitt:
2021
Forlag: CRC Press
Innbinding: Innbundet
Språk: Engelsk
Sider: 966
ISBN: 9781138551992
Format: 25 x 18 cm
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"If you want a comprehensive outline of classical coding theory and its modern applications, you will appreciate this encyclopedia. It is written by a large international group of experts with a wide spread of experience. Extensive references to publications and web sources support the chapters; they allow the reader to follow in depth interests sparked by each topic covered. The vast range of applications detailed makes it evident that coding theory is a major and vital area of mathematics."
– Emeritus Professor Harold Ward, University of Virginia"Featuring a wealth of examples and references, and addressing topics on the cutting edge of research and practice, Concise Encyclopedia of Coding Theory is especially useful for students and researchers in a wide range of mathematical disciplines, as well as is an ideal textbook for coding theory curriculums. While especially and unreservedly recommended for college and university library Combinatorics, Information Theory, and Web Encryption collections and supplemental studies curriculums, it should be noted for the personal reading lists of professional coders, coding students, academia, and nonspecialist general readers with an interest in the subject"
»
– Midwest Book Review
1. Basics of Coding Theory
W. Cary Huffman, JonLark Kim, and Patrick Sole
2. Cyclic Codes over Finite Fields
Cunsheng Ding
3. Construction and Classification of Codes.
Patric R. J. OEstergard
4. SelfDual Codes
Stefka Bouyuklieva
5. Codes and Designs
Vladimir D. Tonchev
6. Codes over Rings
Steven T. Dougherty
7. QuasiCyclic Codes
Cem Guneri, San Ling, and Buket OEzkaya
8. Introduction to SkewPolynomial Rings and SkewCyclic Codes
Heide GluesingLuerssen
9. Additive Cyclic Codes
Jurgen Bierbrauer, Stefano Marcugini, and Fernanda Pambianco
10. Convolutional Codes
Julia Lieb, Raquel Pinto, and Joachim Rosenthal
11. RankMetric Codes
Elisa Gorla
12. Linear Programming Bounds
Peter Boyvalenkov and Danyo Danev
13. Semidefinite Programming Bounds for ErrorCorrecting 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. LopezPermouth
18. Weight Distribution of Trace Codes over Finite Rings
Minjia Shi
19. TwoWeight 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. PseudoNoise Sequences
Tor Helleseth and Chunlei Li
26. Lattice Coding
Frederique Oggier
27. Quantum ErrorControl Codes
Martianus Frederic Ezerman
28. SpaceTime 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. CodeBased Cryptography
Philippe Gaborit and JeanChristophe Deneuville
Bibliography
Index
JonLark Kim received his Ph.D. in 2002 from Department of Math of the University of Illinois at Chicago. He was an Associate Professor at the University of Louisville until 2012. He is currently professor at Math Department of Sogang University in Seoul. He has authored more than fifty research papers and one book on Coding Theory. He is the recipient of the 2004 Kirkman medal from the Institute of Combinatorics and its Applications. His research interests include Coding Theory, Cryptography, Combinatorics, Bioinformatics, and Artificial Intelligence.
Patrick Solé (1960) received the Ingénieur and the Docteur Ingénieur degrees from Ecole Nationale Supérieure des Télécommunications, Paris, France in 1984 and 1987, respectively, and the Habilitation à Diriger des Recherches degree from University of Nice SophiaAntipolis, France, in 1993.
He has held several visiting positions at Syracuse University, Syracuse, NY, in 1987 – 1989, Macquarie University, Sydney, Australia, in 1994 – 1996, and at University des Sciences et Techniques de Lille, Lille, France, in 1999 – 2000. He has been a permanent member of Centre National de la Recherche Scientifique since 1989 and was later promoted to the rank of Senior Researcher (Directeur de Recherche) in 1996.
His research interests include coding theory (covering radius, codes over rings, geometric codes, quantum codes), interconnection networks (graph spectra, expanders), space time codes (lattices, theta series), and cryptography (Boolean functions, secret sharing schemes).
He is the author of more than 200 journal papers, and of four books.