編碼理論導論 (第3版) (英文) 雅各布斯.亨德里克斯.范.林特 9787519296919 【台灣高等教育出版社】

Name: 編碼理論導論 (第3版) (英文) 雅各布斯.亨德里 克斯.范.林特 9787519296919 【台灣高等教育出版社】
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書名：編碼理論導論 (第3版) (英文)
ISBN：9787519296919
出版社：世界圖書出版公司
著編譯者：雅各布斯.亨德里克斯.范.林特
頁數：227
所在地：中國大陸 *此為代購商品
書號：1583344
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內容簡介

儘管市場上有關編碼理論的書籍繁多，本書以其高品質脫穎而出，是編碼理論相關書籍榜上暢銷不衰的經典。本書特色在於：簡短、精確、數學嚴謹地介紹了書本主題內容，從數學家的角度清晰地提出了基本概念和思想，並在各種特殊類型的代碼中加以說明。本書被推崇為每個想要了解編碼代數理論的數學家的必讀之書。再版版本除了添加了編碼增益等內容，還附上了關於編碼理論的最新文獻，讓讀者能夠進一步拓展知識面。

Preface to the Third Edition
Preface to the Second Edition
Preface to the First Edition
CHAPTER 1 Mathematical Background
1 1 Algebra
1 2 Krawtchouk Polynomials
1 3 Cormbinatorial Theory
1 4 Probability Theory
CHAPTER 2 Shannon's Theorem
2 1 Introduction
2 2 Shannon's Theorem
2 3 On Coding Gain
2 4 Comments
2 5 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 The Lee Metric
3 7 Comments
3 8 Problems
CHAPTER
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 Binary Cyclic Codes of Length 2n(n odd)
6 11 Generalized Reed–Muller Codes
6 12 Comments
6 13 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 Unifomly Packed Codes
7 5 Nonexistence Theorems
7 6 Comments
7 7 Problems
CHAPTER 8 Codes over Z
8 1 Quaternary Codes
8 2 Binary Codes Derived from Codes over Z
8 3 Galois Rings over Z
8 4 Cyclic Codes over Z
8 5 Problems
CHAPTER 9 Goppa Codes
9 1 Motivation
9 2 Goppa Codes
9 3 The Minimum Distance of Goppa Codes
9 4 Asymptotic Behaviour of Goppa Codes
9 5 Decoding Goppa Codes
9 6 Generalized BCH Codes
9 7 Comments
9 8 Problems
CHAPTER 10 Algebraic Geometry Codes
10 1 Introduction
10 2 Algebraic Curves
10 3 Divisors
10 4 Differentials on a Curve
10 5 The Riemann-Roch Theorem
10 6 Codes from Algebraic Curves
10 7 Some Geometric Codes
10 8 Improvement of the Gilbert-Varshamov Bound
10 9 Comments
10 10 Problems
CHAPTER 11 Asymptotically Good Algebraic Codes
11 1 A Simple Nonconstructive Example
11 2 Justesen Codes
11 3 Comments
11 4 Problems
CHAPTER 12 Arithmetic Codes
12 1 AN Codes
12 2 The Arithmetic and Modular Weight
12 3 Mandelbaum-Barrows Codes
12 4 Comments
12 5 Problems
CHAPTER 13 Convolutional Codes
13 1 Introduction
13 2 Decoding of Convolutional Codes
13 3 An Analog of the Gilbert Bound for Some Convolutional Codes
13 4 Construction of Convolutional Codes from Cyclic Block Codes
13 5 Automorphisms of Convolutional Codes
13 6 Comments
13 7 Problems
Hints and Solutions to Problems
References
Index
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