Introduction to the theory of error-correcting codes /
[Book]
Vera Pless
Third edition
xii, 207 pages :
illustrations ;
24 cm
Wiley-Interscience series in discrete mathematics and optimization
"A Wiley-Interscience publication."
Includes bibliographical references (pages 199-202) and index
1. Introductory Concepts -- 2. Useful Background -- 3. A Double-Error-Correcting BCH Code and a Finite Field of 16 Elements -- 4. Finite Fields -- 5. Cyclic Codes -- 6. Group of a Code and Quadratic Residue (QR) Codes -- 7. Bose-Chaudhuri-Hocquenghem (BCH) Codes -- 8. Weight Distributions -- 9. Designs and Games -- 10. Some Codes Are Unique
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"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." "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."--Jacket