Concise Encyclopedia of Coding Theory

Concise Encyclopedia of Coding Theory

Sole, Patrick; Huffman, W. Cary; Kim, Jon-Lark

Taylor & Francis Ltd

03/2021

998

Dura

Inglês

9781138551992

15 a 20 dias

2010

Descrição não disponível.
Part I. Coding Fundamentals. 1. Basics of Coding Theory. 2. Cyclic Codes over Finite Fields. 3. Construction and Classification of Codes. 4. Self-Dual Codes. 5. Codes and Designs. 6. Codes over Rings. 7. Quasi-Cyclic Codes. 8. Introduction to Skew-Polynomial Rings and Skew-Cyclic Codes. 9. Additive Cyclic Codes. 10. Convolutional Codes. 11. Rank-Metric Codes. 12. Linear Programming Bounds. 13. Semidefinite Programming Bounds for Error-Correcting Codes. Part II. Families of Codes. 14. Coding Theory and Galois Geometries. 15. Algebraic Geometry Codes and Some Applications. 16. Codes in Group Algebras. 17. Constacyclic Codes over Finite Commutative Chain Rings. 18. Weight Distribution of Trace Codes over Finite Rings. 19. Two-Weight Codes. 20. Linear Codes from Functions. 21. Codes over Graphs. Part III. Applications. 22. Alternative Metrics. 23. Algorithmic Methods. 24. Interpolation Decoding. 25. Pseudo-Noise Sequences. 26. Lattice Coding. 27. Quantum Error-Control Codes. 28. Space-Time Coding. 29. Network Codes. 30. Coding for Erasures and Fountain Codes. 31. Codes for Distributed Storage. 32. Polar Codes. 33. Secret Sharing with Linear Codes. 34. Code-Based Cryptography. Bibliography. Index.
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Polar Codes;Algebraic Coding Theory;LDPC Code;Combinatorial Coding Theory;Linear Code;combinatorics;Parity Check Matrix;algorithmic models;Reed Solomon Codes;sequences;Cayley Graph;codes;BCH Code;Alternative metrics;MDS Code;Commutative algebra;Cyclic Codes;Pseudo-random sequences;Self-dual Code;Semi-definite programming;LP Bound;Coding theory;Reed Muller Codes;Weight Enumerator;Check Nodes;Raptor Codes;Quantum Codes;Binary Linear Codes;MacWilliams Identities;Golay Code;Decoding Algorithm;Tanner Graph;Secret Sharing Scheme;Semidefinite Programming;Space Time Codes;Cyclotomic Cosets