Introduction to Coding and Information Theory

By: Steven Roman

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Hardcover | 26 November 1996

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Hardcover
344 Pages

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24.13 x 19.05 x 1.91

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This book is an introduction to coding and information theory, with an emphasis on coding theory. It is suitable for undergraduates with a modest mathematical background. While some previous knowledge of elementary linear algebra is helpful, it is not essential. All of the needed elementary discrete probability is developed in a preliminary chapter.
After a preliminary chapter, there follows an introductory chapter on variable-length codes that culminates in Kraft's Theorem. Two chapters on Information Theory follow - the first on Huffman encoding and the second on the concept of the entropy of an information source, culminating in a discussion of Shannon's Noiseless Coding Theorem.
The remaining four chapters cover the theory of error-correcting block codes. The first chapter covers communication channels, decision rules, nearest neighbor decoding, perfect codes, the main coding theory problem, the sphere-packing, Singleton and Plotkin bounds, and a brief discussion of the Noisy Coding Theorem. There follows a chapter on linear codes that begins with a discussion of vector spaces over the field [actual symbol not reproducible]. The penultimate chapter is devoted to a study of the Hamming, Golay, and Reed-Muller families of codes, along with some decimal codes and some codes obtained from Latin squares. The final chapter contains a brief introduction to cyclic codes.

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You Can Find This Book In

Non-Fiction Computing & I.T.Databases Data Capture & Analysis Mathematics Applied Mathematics Science Science in General Computer Science Mathematical Theory of Computation Reference, Information & Interdisciplinary Subjects Research & Information

Information theory Probability & Statistics Systems Analysis & Design Coding Theory & Cryptology

Preface
Introduction	p. 1
Preliminaries	p. 5
An Introduction to Codes	p. 25
Efficient Encoding	p. 53
Noiseless Coding	p. 69
The Main Coding Theory Problem	p. 91
Linear Codes	p. 149
Some Special Codes	p. 217
An Introduction to Cyclic Codes	p. 269
Answers to Selected Odd-Numbered Exercises	p. 285
References	p. 317
Index	p. 319
Table of Contents provided by Blackwell. All Rights Reserved.

Introduction to Coding and Information Theory

At a Glance

Hardcover

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