Selected Unsolved Problems in Coding Theory - Couverture rigide

Joyner, David; Kim, Jon-Lark

Couverture rigide

ISBN 10 : 0817682554 ISBN 13 : 9780817682552

Editeur : Birkhauser Boston Inc, 2011

Synopsis

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.

A propos du livre

Revue de presse

This book presents a good number of unsolved problems for those who are interested in the mathematics of the theory of error-correcting codes. It will also be of interest to coding-theorists interested in knowing how to use SAGE to do certain computations with error-correcting codes. ... Overall, the book is a treat for coding-theorists in both theoretical and practical aspects. (Bal Kishan Dass, Mathematical Reviews, Issue 2012 i)

This is a book for mathematicians interested in learning, in a pleasant and instructive way, some main topics of coding theory. It is also a book for coding theorists interested in learning the program SAGE to perform computations with error-correcting codes. ... the book is interesting and enjoyable to read, and offers a good opportunity to learn about some of the most fascinating aspects of the mathematical theory of codes. It is also a good source for learning SAGE in a useful and entertaining way. --Carlos Munuera, Zentralblatt MATH, Vol. 1239, 2012

Présentation de l'éditeur

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.

Détails de l'édition

• Éditeur: Birkhauser Boston Inc
• Date d'édition: 2011
• Langue: anglais
• ISBN 10: 0817682554
• ISBN 13: 9780817682552
• Reliure: Relié
• Nombre de pages: 260
• Coordonnées du fabricant: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Allemagne