Error Correcting Coding and Security for Data Networks: Analysis of the Superchannel Concept (Hardcover)

Grigorii Kabatiansky, Evgenii Krouk, Sergei Semenov

  • 出版商: Wiley
  • 出版日期: 2005-03-01
  • 售價: $1,300
  • 貴賓價: 9.8$1,274
  • 語言: 英文
  • 頁數: 288
  • 裝訂: Hardcover
  • ISBN: 047086754X
  • ISBN-13: 9780470867549
  • 相關分類: 資訊安全
  • 下單後立即進貨 (約5~7天)

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Description:

Error correcting coding is often analyzed in terms of its application to the separate levels within the data network in isolation from each other.  In this fresh approach, the authors consider the data network as a superchannel (a multi-layered entity) which allows error correcting coding to be evaluated as it is applied to a number of  network layers as a whole.  By exposing the problems of applying error correcting coding in data networks, and by discussing coding theory and its applications, this original technique shows how to correct errors in the network through joint coding at different network layers.

  • Discusses the problem of reconciling coding applied to different layers using a  superchannel approach
  • Includes thorough coverage of all the key codes: linear block codes, Hamming, BCH and Reed-Solomon codes, LDPC codes decoding, as well as convolutional, turbo and iterative coding
  • Considers new areas of application of error correcting codes such as transport coding, code-based cryptosystems and coding for image compression
  • Demonstrates how to use error correcting coding to control such important data characteristics as mean message delay
  • Provides theoretical explanations backed up by numerous real-world examples and practical recommendations
  • Features a companion website containing additional research results including  new constructions of LDPC codes, joint error-control coding and synchronization, Reed-Muller codes and their list decoding

By progressing from theory through to practical problem solving, this resource contains invaluable advice for researchers, postgraduate students, engineers and computer scientists interested in data communications and applications of coding theory.

 

 

Table of Contents:

Preface.

1 Problems Facing Error Control Coding in Data Networks.

1.1 International Recommendations on Using Error Control Coding at Different Network Layers.

1.2 Classification of Problems on Coding in Networks.

2 Block Codes.

2.1 Main Definitions.

2.2 Algebraic Structures.

2.3 Linear Block Codes.

2.4 Cyclic Codes.

2.5 Bounds on Minimum Distance.

3 General Methods of Decoding of Linear Codes.

3.1 Minimum Distance Decoding.

3.2 Information Set Decoding.

3.3 A Supercode Decoding Algorithm.

3.4 The Complexity of Decoding in the Channel with Independent Errors.

4 Codes with Algebraic Decoding.

4.1 Hamming Codes.

4.2 Reed-Solomon Codes.

4.3 BCH Codes.

4.4 Decoding of BCH Codes.

4.5 The Sudan Algorithm and its Extensions.

5 Decoding of LDPC Codes.

5.1 Low-Density Parity-Check Codes.

5.2 LDPC Constructions.

5.3 Estimating the Minimum Distance of EG-LDPC Codes.

5.4 Burst-Error-Correcting LDPC Codes.

5.5 Decoding Schemes of LDPC Codes.

5.6 Simulation Results in AWGN.

Appendix 5.A Euclidean Geometries.

6 Convolutional Codes and Turbo-Codes.

6.1 Convolutional Codes Representation and Encoding.

6.2 Viterbi Decoding Algorithm.

6.3 List Decoding.

6.4 Sequential Decoding.

6.5 Parallel-Concatenated Convolutional Codes and Soft Input Soft Output Decoding.

6.6 SISO Decoding Algorithms.

7 Coding of Messages at the Transport Layer of the Data Network.

7.1 Decreasing the Message Delay with the help of Transport Coding.

7.2 Transmission of Message during Limited Time.

7.3 Transmission of Priority Messages without using Priority Packets .

7.4 Estimation of the Effectiveness of Transport Coding for the Nonexponential Model of Packet Delay.

8 Providing Security of Data in a Network with the Help of Coding Methods.

8.1 Public-Key Cryptography.

8.2 Codebased Cryptosystems: McEliece and Niederreiter.

8.3 Cryptosystems Based on Full Decoding.

8.4 Further Development of Codebased Cryptosystems.

8.5 Codebased Cryptosystems and RSA: Comparison and Perspectives.

8.6 Codebased Signature.

9 Reconciliation of Coding at Different Layers of a Network.

9.1 Transport Coding in a Network with Unreliable Channels.

9.2 Reconciliation of Channel and Transport Coding.

9.3 Use of Tornado Codes for Reconciliation of Channel and Transport Coding.

9.4 Development of Coding Methods at the Presentation Layer.

9.5 Reconciliation of Coding at Neighbour Layers of a Network.

Index.

商品描述(中文翻譯)

描述:
錯誤修正編碼通常被分析為在數據網絡中各個層級之間的應用,與其他層級隔離開來。在這種新的方法中,作者將數據網絡視為一個超通道(一個多層實體),允許將錯誤修正編碼作為整個網絡層級應用的評估。通過揭示在數據網絡中應用錯誤修正編碼的問題,並討論編碼理論及其應用,這種原始技術展示了如何通過在不同網絡層級上進行聯合編碼來糾正網絡中的錯誤。

該書討論了使用超通道方法來調和應用於不同層級的編碼的問題,並全面涵蓋了所有關鍵編碼,包括線性區塊編碼、Hamming、BCH和Reed-Solomon編碼、LDPC編碼解碼,以及卷積、渦輪和迭代編碼。此外,還考慮了錯誤修正編碼在傳輸編碼、基於編碼的加密系統和圖像壓縮編碼等新應用領域。書中演示了如何使用錯誤修正編碼來控制重要的數據特性,如平均消息延遲。提供了理論解釋,並通過大量的實際例子和實用建議加以支持。書中還提供了一個附帶網站,包含額外的研究結果,包括新的LDPC編碼構造、聯合錯誤控制編碼和同步、Reed-Muller編碼及其列表解碼等。

通過從理論到實際問題解決的進展,這本書對於對數據通信和編碼理論應用感興趣的研究人員、研究生、工程師和計算機科學家提供了寶貴的建議。

目錄:
前言。
第1章 錯誤控制編碼在數據網絡中面臨的問題。
1.1 在不同網絡層級使用錯誤控制編碼的國際建議。
1.2 編碼在網絡中的問題分類。
第2章 區塊編碼。
2.1 主要定義。
2.2 代數結構。
2.3 線性區塊編碼。
2.4 循環編碼。
2.5 最小距離的界限。
第3章 線性編碼的一般解碼方法。
3.1 最小距離解碼。
3.2 信息集解碼。
3.3 超碼解碼算法。