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Algebraic Coding Theory Over Finite Commutative Rings [electronic resource] / by Steven T. Dougherty.

By: Dougherty, Steven T [author.].
Contributor(s): SpringerLink (Online service).
Material type: TextTextSeries: SpringerBriefs in Mathematics: Publisher: Cham : Springer International Publishing : Imprint: Springer, 2017Description: X, 103 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783319598062.Subject(s): Algebra | Mathematics | Associative Rings and Algebras | Information and Communication, CircuitsAdditional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification: 512.46 Online resources: Click here to access online
Contents:
Introduction -- Ring Theory -- MacWilliams Relations -- Families of Rings -- Self-Dual Codes -- Cyclic and Constacyclic Codes.
In: Springer eBooksSummary: This book provides a self-contained introduction to algebraic coding theory over finite Frobenius rings. It is the first to offer a comprehensive account on the subject. Coding theory has its origins in the engineering problem of effective electronic communication where the alphabet is generally the binary field. Since its inception, it has grown as a branch of mathematics, and has since been expanded to consider any finite field, and later also Frobenius rings, as its alphabet. This book presents a broad view of the subject as a branch of pure mathematics and relates major results to other fields, including combinatorics, number theory and ring theory. Suitable for graduate students, the book will be of interest to anyone working in the field of coding theory, as well as algebraists and number theorists looking to apply coding theory to their own work.
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E-BOOKS E-BOOKS ISI Library, Kolkata
 
Available EB1973
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Introduction -- Ring Theory -- MacWilliams Relations -- Families of Rings -- Self-Dual Codes -- Cyclic and Constacyclic Codes.

This book provides a self-contained introduction to algebraic coding theory over finite Frobenius rings. It is the first to offer a comprehensive account on the subject. Coding theory has its origins in the engineering problem of effective electronic communication where the alphabet is generally the binary field. Since its inception, it has grown as a branch of mathematics, and has since been expanded to consider any finite field, and later also Frobenius rings, as its alphabet. This book presents a broad view of the subject as a branch of pure mathematics and relates major results to other fields, including combinatorics, number theory and ring theory. Suitable for graduate students, the book will be of interest to anyone working in the field of coding theory, as well as algebraists and number theorists looking to apply coding theory to their own work.

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