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Introduction to the Theory of Error–Correcting Cod es, Third Edition
Seiten
2011
John Wiley & Sons Inc (Hersteller)
978-1-118-03274-9 (ISBN)
John Wiley & Sons Inc (Hersteller)
978-1-118-03274-9 (ISBN)
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Since its beginnings in electrical engineering in 1948, the theory of error-correcting codes has evolved into mathematical topics with applications including communication systems, modern memory devices, computer systems, and high fidelity on compact disc players.
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.
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.
VERA PLESS is Professor of Mathematics and Computer Science and a University Scholar at the University of Illinois at Chicago. Professor Pless holds a PhD in mathematics from Northwestern University.
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.
Erscheint lt. Verlag | 31.10.2011 |
---|---|
Verlagsort | New York |
Sprache | englisch |
Maße | 150 x 250 mm |
Gewicht | 666 g |
Themenwelt | Mathematik / Informatik ► Mathematik |
ISBN-10 | 1-118-03274-8 / 1118032748 |
ISBN-13 | 978-1-118-03274-9 / 9781118032749 |
Zustand | Neuware |
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