Selected unsolved problems in coding theory
著者
書誌事項
Selected unsolved problems in coding theory
（Applied and numerical harmonic analysis / series editor, John J. Benedetto）
Birkhäuser , Springer, c2011
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注記
Includes bibliographical references (p. 189-196) and index
内容説明・目次
内容説明
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 illustrate ideas, this book is 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.
目次
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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