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Coding and Information Theory (Graduate Texts in Mathematics, 134, Band 134) - Hardcover

Roman, Steven

 
9780387978123: Coding and Information Theory (Graduate Texts in Mathematics, 134, Band 134)

Inhaltsangabe

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.

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Über die Autorin bzw. den Autor

Steven Roman is currently an Emeritus Professor of Mathematics at the University of California.  He is a prolific Springer author; some of his books include Field Theory, Advanced Linear Algebra, Introduction to Coding and Information Theory, and most recently Fundamentals of Group Theory.

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9783540978121: Coding and Information Theory (Graduate Texts in Mathematics)

Vorgestellte Ausgabe

ISBN 10:  3540978127 ISBN 13:  9783540978121
Verlag: Springer Berlin, 1992
Hardcover