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Introduction to Coding and Information Theory

Steven Roman (Autor)

Buch | Hardcover

326 Seiten

1996
Springer-Verlag New York Inc.
978-0-387-94704-4 (ISBN)

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This book is intended to introduce coding theory and information theory to undergraduate students of mathematics and computer science. It begins with a review of probablity theory as applied to finite sample spaces and a general introduction to the nature and types of codes. The two subsequent chapters discuss information theory: efficiency of codes, the entropy of information sources, and Shannon's Noiseless Coding Theorem. The remaining three chapters deal with coding theory: communication channels, decoding in the presence of errors, the general theory of linear codes, and such specific codes as Hamming codes, the simplex codes, and many others.

Introduction:
Preliminaries; Miscellany; Some Probability; Matrices
1. An Introduction to Codes
Strings and Things; What are codes? Uniquely Decipherable Codes;
Instantaneous Codes and Kraft's Theorem
2. Efficient Encoding
Information Sources; Average Codeword Length; Huffman Encoding; The
Proof that Huffman Encoding is the Most Efficient
3. Noiseless Coding
Entropy; Properties of Entropy; Extensions of an Information 1= Source; The Noiseless Coding Theorem
II Coding Theory
4. The Main Coding Theory Problem
Communications Channels; Decision Rules; Nearest Neighbor Decoding;

Reihe/Serie	Undergraduate Texts in Mathematics
Zusatzinfo	XIV, 326 p.
Verlagsort	New York, NY
Sprache	englisch
Maße	178 x 254 mm
Themenwelt	Informatik ► Theorie / Studium ► Kryptologie
Themenwelt	Mathematik / Informatik ► Mathematik
ISBN-10	0-387-94704-3 / 0387947043
ISBN-13	978-0-387-94704-4 / 9780387947044
Zustand	Neuware