Preface
Introduction
Part 1 Information Theory
Chapter 1 Entropy
1.1 Entropy of a Source
1.2 Properties of Entropy
1.3 Additional Propcrties of Entropy
Chapter 2 Noiseless Voding
2.1 Variable Length Encoding
2.2 Huffman Encoding
2.3 The Noiseless Coding Theorem
Chapter 3 Noisy Coding
3.1 The Discrete Memoryless Channcl and Conditional Entropy
3.2 Mutual Information and Channel Capacity
3.3 THe Noisy Coding Theorem
3.4 Proof of the Noisy Coding Theorem and Its Strong Converse
Part 2 Coding Theory
Chapter 4 General Remarks on Codes
4.1 Error Detection and Correction
4.2 Minimum Distance Decoding
4.3 Families of Codes
4.4 Codes and Designs
4.5 The Main Coding Theory Problem
Chapter 5 Linear Codes
5.1 Linear Codes and Their Duals
5.2 Weight Sistributions
5.3 Maximum Distance Separable Codes
5.4 Invariant Theory and Self-Dual Codes
Chapter 6 Some Linear Codes
6.1 Hamming and Golay Codes
6.2 Reed-Muller Codes
Chapter 7 Finite Fields and Cyclic Codes
Chapter 8 Some Cyclic Codes
Appendix
Preliminaries
Tables
References
Symbol Index
Index
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