Selected Unsolved Problems in Coding Theory

Buch | Hardcover
248 Seiten
2011
Birkhauser Boston Inc (Verlag)
978-0-8176-8255-2 (ISBN)

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Selected Unsolved Problems in Coding Theory - David Joyner, Jon-Lark Kim
64,19 inkl. MwSt
This book explores several unsolved problems in coding theory. Employing Sage - a free open-source mathematics program - to illustrate ideas, the book can serve as supplementary reading material in a graduate course on coding theory, or as a self-study text.
This original monograph investigates several unsolved problems that currently exist in coding theory. A highly relevant branch of mathematical computer science, the theory of error-correcting codes is concerned with reliably transmitting data over a ‘noisy’ channel. Despite its fairly long history and consistent prominence, the field still contains interesting 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, especially those who are interested in finding some current unsolved problems. Familiarity with concepts in algebra, number theory, and modular forms is assumed. The work may be used as supplementary reading material in a graduate course on coding theory or for self-study.

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

Reihe/Serie Applied and Numerical Harmonic Analysis
Zusatzinfo 17 Illustrations, black and white; XII, 248 p. 17 illus.
Verlagsort Secaucus
Sprache englisch
Maße 155 x 235 mm
Themenwelt Informatik Theorie / Studium Kryptologie
Mathematik / Informatik Mathematik Angewandte Mathematik
Mathematik / Informatik Mathematik Arithmetik / Zahlentheorie
Mathematik / Informatik Mathematik Geometrie / Topologie
Technik Elektrotechnik / Energietechnik
ISBN-10 0-8176-8255-4 / 0817682554
ISBN-13 978-0-8176-8255-2 / 9780817682552
Zustand Neuware
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