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Error Correcting Coding and Security for Data Networks - Analysis of the Superchannel Concept
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Kabatiansky
Wiley, Published March 2005, 512 pages, ISBN 047086754X
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In this new approach, the authors consider the data network as a channel (in the sense of information theory) with several layers. The suggested "global" approach to coding in a network is consequently connected with other network procedures, such as protocols, and this determines complexity and originality of the problems of coding within the network. The authors distinguish different coding processes at 3 network layers (data link layer, transport layer and presentation layer) and investigate the impact of coding from one layer to another. Thus the problem of reconciliation of coding of different network layers arises and the authors suggest enlightening solutions to this problem.

The book consists of two parts:

PART 1 is mainly devoted to a review of coding theory and its applications. This part differs from the traditional monographs available on coding theory, as it focuses on nonbinary codes and the correction of special configurations of errors, dictated by a class of problems.

PART 2 discusses how to solve the problems raised in part 1 and is the main focus of the book. It shows how, with the help of coding which adds redundant packets to the message, it is possible to decrease the mean time of message delivery and increase the probability of not exceeding the acceptable delay limit. Methods of construction of a model of the discrete data channel and choice of the code for the data channel are presented. Many problems, considered in this part, have significance not only for data networks, but also for other sections of the communication theory.

Table of Contents

1. Problems facing error correcting coding in data network.

Data transmission in network.

International recommendations on using the error correcting coding at different network layers.

Classification of problems on coding in network .

2. Block codes

Main definitions.

Algebraic structures.

Linear block codes.

Cyclic codes.

3. General methods of decoding of linear codes.

Minimum distance decoding.

Information set decoding.

A supercode decoding algorithm.

Decoding complexity in the channel with independent errors.

4. Codes with algebraic decoding.

Hamming codes.

Reed – Solomon codes.

BCH codes.

Decoding BCH codes.

Sudan algorithm and its extensions.

5. Decoding of LDPC codes.

Low-density parity-check codes.

LDPC constructions.

Estimating the minimum distance of EG-LDPC codes.

Burst-error-correcting LDPC-codes.

Decoding schemes of LDPC codes.

Simulation results in AWGN.

Appendix 5.A. Euclidean geometries.

6. Convolutional codes and turbo-codes.

Code representation and encoding.

Viterbi decoding algorithm.

List decoding.

Sequential decoding.

Parallel-concatenated convolutional codes and soft input soft output decoding.

SISO decoding algorithms.

7. Coding of messages at the transport layer of the data network.

Decreasing the message delay with the help of transport coding.

Transmission of message during limited time.

Transmission of priority messages without using priority packets.

Estimation of the effectiveness of the transport coding for nonexponential model of packet delay.

8. Providing the security of data in network with the help of coding methods.

Pubic key cryptography.

Codebased cryptosystems: McEliece and Niederreiter.

Cryptosystems based on full decoding.

Further development of codebased cryptosystems.

Codebased cryptosystems and RSA: comparison and perspectives.

Codebased signature.

9. Reconciliation of coding at different layers of network.

Transport coding in the network with unreliable channels.

Reconciliation of channel and transport coding.

Use of Tornado codes for reconciliation of channel and transport coding.

Development of coding methods at the presentation layer.

Reconciliation of coding at neighbour levels of network.




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