Introduction to the theory of error-correcting codes

著者

• Pless, Vera

書誌事項

Introduction to the theory of error-correcting codes

Vera Pless

（Wiley-Interscience series in discrete mathematics and optimization）

Wiley, 1998

3rd ed

注記

"A Wiley-Interscience publication."

Includes bibliographical references p. 199-202

Includes index

内容説明・目次

内容説明

A complete introduction to the many mathematical tools used to solve practical problems in coding. Mathematicians have been fascinated with the theory of error-correcting codes since the publication of Shannon's classic papers fifty years ago. With the proliferation of communications systems, computers, and digital audio devices that employ error-correcting codes, the theory has taken on practical importance in the solution of coding problems. This solution process requires the use of a wide variety of mathematical tools and an understanding of how to find mathematical techniques to solve applied problems. Introduction to the Theory of Error-Correcting Codes, Third Edition demonstrates this process and prepares students to cope with coding problems. Like its predecessor, which was awarded a three-star rating by the Mathematical Association of America, this updated and expanded edition gives readers a firm grasp of the timeless fundamentals of coding as well as the latest theoretical advances. This new edition features: * A greater emphasis on nonlinear binary codes * An exciting new discussion on the relationship between codes and combinatorial games * Updated and expanded sections on the Vashamov-Gilbert bound, van Lint-Wilson bound, BCH codes, and Reed-Muller codes * Expanded and updated problem sets. Introduction to the Theory of Error-Correcting Codes, Third Edition is the ideal textbook for senior-undergraduate and first-year graduate courses on error-correcting codes in mathematics, computer science, and electrical engineering.

目次

Introductory Concepts. Useful Background. A Double-Error-Correcting BCH Code and a Finite Field of 16 Elements. Finite Fields. Cyclic Codes. Group of a Code and Quadratic Residue (QR) Codes. Bose-Chaudhuri-Hocquenghem (BCH) Codes. Weight Distributions. Designs and Games. Some Codes Are Unique. Appendix. References. Index.

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詳細情報

• NII書誌ID(NCID): BA37483969
• ISBN:
  • 0471190470
• LCCN: 97049834
• 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
• ページ数/冊数: xii, 207 p.
• 大きさ: 24 cm
• 分類:
  • LCC : QA268
  • DC21 : 003/.54
• 件名:
  • LCSH : Error-correcting codes (Information theory)
• 親書誌ID:
  • BA00856752