فهرست مطالب:

Preface xxiii
Contributors xxix
I Coding Fundamentals 1
1 Basics of Coding Theory 3
2 Cyclic Codes over Finite Fields 45
3 Construction and Classification of Codes 61
4 Self-Dual Codes 79
5 Codes and Designs 97
6 Codes over Rings 111
7 Quasi-Cyclic Codes 129
8 Introduction to Skew-Polynomial Rings and Skew-Cyclic Codes 151
9 Additive Cyclic Codes 181
10 Convolutional Codes 197
11 Rank-Metric Codes 227
12 Linear Programming Bounds 251
13 Semidefinite Programming Bounds for Error-Correcting Codes 267
II Families of Codes
14 Coding Theory and Galois Geometries 285
15 Algebraic Geometry Codes and Some Applications 307
16 Codes in Group Algebras 363
17 Constacyclic Codes over Finite Commutative Chain Rings 385
18 Weight Distribution of Trace Codes over Finite Rings 429
19 Two-Weight Codes 449
20 Linear Codes from Functions 463
21 Codes over Graphs 527
III Applications 553
22 Alternative Metrics 555
23 Algorithmic Methods 575
24 Interpolation Decoding 599
25 Pseudo-Noise Sequences 613
26 Lattice Coding 645
27 Quantum Error-Control Codes 657
28 Space-Time Coding 673
29 Network Codes 685
30 Coding for Erasures and Fountain Codes 715
31 Codes for Distributed Storage 735
32 Polar Codes 763
33 Secret Sharing with Linear Codes 785
34 Code-Based Cryptography 799
Bibliography 823
Index 941

مشخصات فایل

1138551996, 9781138551992, 1315147904, 9781315147901