Coding and information theory

書誌事項

Coding and information theory

Steven Roman

(Graduate texts in mathematics, 134)

Springer-Verlag, c1992

  • : us
  • : gw

大学図書館所蔵 件 / 138

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注記

Bibliographical references: p. [475]-477

Includes indexes

内容説明・目次

巻冊次

: us ISBN 9780387978123

内容説明

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.

目次

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.
巻冊次

: gw ISBN 9783540978121

内容説明

This text is an introduction to the subjects of information and coding theory at the graduate or advanced undergraduate level. It assumes a basic knowledge of probability and linear algebra, but is otherwise self-contained. The first quarter of the book is devoted to the basics of information theory, including a proof of Shannon's famous Noisy Coding Theorem. The remainder of the book is devoted to coding theory and has a decidedly algebraic flavour. After a brief discussion of general families of codes, the authors discuss linear codes, (including the Hamming, Golay, and Reed-Miller codes), finite fields and cyclic codes. An appendix reviews relevant topics from modern algebra.

目次

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.

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詳細情報

  • NII書誌ID(NCID)
    BA17242766
  • ISBN
    • 0387978127
    • 3540978127
  • LCCN
    92003828
  • 出版国コード
    us
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    New York ; Tokyo
  • ページ数/冊数
    xvii, 486 p.
  • 大きさ
    24 cm
  • 分類
  • 件名
  • 親書誌ID
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