J. H. van Lint (1932–2004)

Indeholder "Preface", "Chapter 1. Mathematical Background", " 1.1 Algebra", " 1.2 Krawtchouk Polynomials", " 1.3 Combinatorial Theory", " 1.4 Probability Theory", "Chapter 2. Shannon's Theorem", " 2.1 Introduction", " 2.2 Shannon's Theorem", " 2.3 Comments", " 2.4 Problems", "Chapter 3. Linear Codes", " 3.1 Block Codes", " 3.2 Linear Codes", " 3.3 Hamming Codes", " 3.4 Majority Logic Decoding", " 3.5 Weight Enumerators", " 3.6 Comments", " 3.7 Problems", "Chapter 4. Some Good Codes", " 4.1 Hadamard Codes and Generalizations", " 4.2 The Binary Golay Code", " 4.3 The Ternary Golay Code", " 4.4 Constructing Codes from Other Codes", " 4.5 Reed-Muller Codes", " 4.6 Kerdock Codes", " 4.7 Comments", " 4.8 Problems", "Chapter 5. Bounds on Codes", " 5.1 Introduction: The Gilbert Bound", " 5.2 Upper Bounds", " 5.3 The Linear Programming Bound", " 5.4 Comments", " 5.5 Problems", "Chapter 6. Cyclic Codes", " 6.1 Definitions", " 6.2 Generator Matrix and Check Polynomial", " 6.3 Zeros of a Cyclic Code", " 6.4 The Idempotent of a Cyclic Code", " 6.5 Other Representations of Cyclic Codes", " 6.6 BCH Codes", " 6.7 Decoding BCH Codes", " 6.8 Reed-Solomon Codes", " 6.9 Quadratic Residue Codes", " 6.10 Comments", " 6.11 Problems", "Chapter 7. Perfect Codes and Uniformly Packed Codes", " 7.1 Lloyd's Theorem", " 7.2 The Characteristic Polynomial of a Code", " 7.3 Uniformly Packed Codes", " 7.4 Examples of Uniformly Packed Codes", " 7.5 Nonexistence Theorems", " 7.6 Comments", " 7.7 Problems", "Chapter 8. Goppa Codes", " 8.1 Motivation", " 8.2 Goppa Codes", " 8.3 The Minimum Distance of Goppa Codes", " 8.4 Asymptotic Behaviour of Goppa Codes", " 8.5 Decoding Goppa Codes", " 8.6 Generalized BCH Codes", " 8.7 Comments", " 8.8 Problems", "Chapter 9. Asymptotically Good Algebraic Codes", " 9.1 A Simple Nonconstructive Example", " 9.2 Justesen Codes", " 9.3 Comments", " 9.4 Problems", "Chapter 10. Arithmetic Codes", " 10.1 AN Codes", " 10.2 The Arithmetic and Modular Weight", " 10.3 Mandelbaum-Barrows Codes", " 10.4 Comments", " 10.5 Problems", "Chapter 11. Convolutional Codes", " 11.1 Introduction", " 11.2 Decoding of Convolutional Codes", " 11.3 An Analog of the Gilbert Bound for Some Convolutional Codes", " 11.4 Construction of Convolutional Codes from Cyclic Block Codes", " 11.5 Automorphisms of Convolutional Codes", " 11.6 Comments", " 11.7 Problems", "Hints and Solutions to Problems", "References", "Index".

Glimrende lærebog, men der er kommet mindst een nyere udgave. Det her er førsteudgaven fra juli 1981.… (més)