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Introduction to Coding and Information Theory (Undergraduate Texts in Mathematics)
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From the Back Cover
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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Product details
Series: Undergraduate Texts in Mathematics
Hardcover: 326 pages
Publisher: Springer; 1997 edition (November 26, 1996)
Language: English
ISBN-10: 0387947043
ISBN-13: 978-0387947044
Product Dimensions:
7 x 0.9 x 10 inches
Shipping Weight: 1.8 pounds (View shipping rates and policies)
Average Customer Review:
5.0 out of 5 stars
1 customer review
Amazon Best Sellers Rank:
#136,737 in Books (See Top 100 in Books)
I have used this book in my course of coding theory. In my experience it is enough clear for the students and cover the fundamental material with enough deep from introductory point of view. From this book the reader can continue the study of subject in a more theoretical fashion or in the more applied one. It is a good text book for a introductory course, and I have seen several other books. However I think the author spend so much time in chapter four. The book is well strutured for a one semester course.
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