- 编码论导论(第3版)(英文版)
- - 作者：J.H.van Lint|责编:刘慧//高蓉
  - 出版社：世界图书出版公司
  - ISBN：9787506201162
  - 出版日期：2003/01/01
  - 页数：227
- 售价：19.2

内容大纲
本书内容涉及数学背景；香农定理；线性码；若干经典码；码的界；循环码；完备码和一致存储码；Goppa码；代数几何码；渐近代数码；算术码；卷积码。
作者介绍
目录
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.  Combinatorial 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 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.  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 Uniformly Packed Codes
  7.5.  Nonestence Theorems
  7.6.  Comments
  7.7.  Problems
CHAPTER 8  Codes over Z4
  8.1.  Quaternary Codes
  8.2.  Binary Codes Derived from Codes over Z4
  8.3.  Galois Rings over Z4
  8.4.  Cyclic Codes over Z4
  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

内容大纲

作者介绍

目录

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