Coding and Information Theory / Edition 1

by Steven Roman

Overview

This book is an introduction to information and coding theory at the graduate or advanced undergraduate level. It assumes a basic knowledge of probability and modern algebra, but is otherwise self- contained. The intent is to describe as clearly as possible the fundamental issues involved in these subjects, rather than covering all aspects in an encyclopedic fashion. The first quarter of the book is devoted to information theory, including a proof of Shannon's famous Noisy Coding Theorem. The remainder of the book is devoted to coding theory and is independent of the information theory portion of the book. After a brief discussion of general families of codes, the author discusses linear codes (including the Hamming, Golary, the Reed-Muller codes), finite fields, and cyclic codes (including the BCH, Reed-Solomon, Justesen, Goppa, and Quadratic Residue codes). An appendix reviews relevant topics from modern algebra.

Product Details

ISBN-13:	9780387978123
Publisher:	Springer New York
Publication date:	06/04/1992
Series:	Graduate Texts in Mathematics , #134
Edition description:	1992
Pages:	488
Product dimensions:	6.14(w) x 9.21(h) x 0.05(d)

Table of Contents

1: Entropy. 2: Noisless Coding. 3: Noisy Coding. 4: General Remarks on Codes. 5: Linear Codes. 6: Some Linear Codes. 7: Finite Fields and Cyclic Codes. 8: Some Cyclic Codes.

Editorial Reviews

An introduction to information and coding theory at the graduate or advanced undergraduate level. It assumes a basis knowledge of probability and modern algebra, but is otherwise self-contained. The first quarter of the text is devoted to information theory; the remainder is devoted to coding theory and is independent of the information theory portion. An appendix reviews relevant topics from modern algebra. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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