Selected Unsolved Problems in Coding Theory

Selected Unsolved Problems in Coding Theory

by David Joyner, Jon-Lark Kim


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Using an original mode of presentation, and emphasizing the computational nature of the subject, this book explores a number of the unsolved problems that still exist in coding theory. A well-established and highly relevant branch of mathematics, the theory of error-correcting codes is concerned with reliably transmitting data over a ‘noisy’ channel. Despite frequent use in a range of contexts, the subject still contains interesting unsolved problems that have resisted solution by some of the most prominent mathematicians of recent decades.

Employing Sage—a free open-source mathematics software system—to illustrateideas, this bookis intended for graduate students and researchers in algebraic coding theory. The work may be used as supplementary reading material in a graduate course on coding theory or for self-study.

Product Details

ISBN-13: 9780817682552
Publisher: Birkhäuser Boston
Publication date: 08/26/2011
Series: Applied and Numerical Harmonic Analysis
Edition description: 2011
Pages: 248
Product dimensions: 6.10(w) x 9.25(h) x 0.36(d)

Table of Contents

Preface.- Background.- Codes and Lattices.- Kittens and Blackjack.- RH and Coding Theory.- Hyperelliptic Curves and QR Codes.- Codes from Modular Curves.- Appendix.- Bibliography.- Index.

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