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- catalog abstract "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.".
- catalog contributor b10152192.
- catalog created "1996.".
- catalog date "1996".
- catalog date "1996.".
- catalog dateCopyrighted "1996.".
- catalog description "Includes bibliographical references and index.".
- catalog description "Preliminaries -- An introduction to codes -- Efficient encoding -- Noiseless coding -- The main coding theory problem -- Linear codes --Some special codes. The Hamming and golay codes ; Reed-Muller codes ; Some decimal codes ; Codes from Latin squares -- An introduction to cyclic codes.".
- catalog description "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.".
- catalog extent "xiii, 323 p. :".
- catalog identifier "0387947043 (hard : alk. paper)".
- catalog isPartOf "Undergraduate texts in mathematics".
- catalog issued "1996".
- catalog issued "1996.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog subject "005.7/2 20".
- catalog subject "Coding theory.".
- catalog subject "Information theory.".
- catalog subject "QA268 .R66 1996".
- catalog tableOfContents "Preliminaries -- An introduction to codes -- Efficient encoding -- Noiseless coding -- The main coding theory problem -- Linear codes --Some special codes. The Hamming and golay codes ; Reed-Muller codes ; Some decimal codes ; Codes from Latin squares -- An introduction to cyclic codes.".
- catalog title "An introduction to coding and information theory / Steven Roman.".
- catalog type "text".