Algebraic Coding Theory Over Finite Commutative Rings / by Steven T. Dougherty.

By:

Dougherty, Steven T [author.]

Material type: Text

TextSeries: Publisher: Cham : Springer International Publishing : Imprint: Springer, 2017Edition: 1st ed. 2017Description: (X, 103 pages)Content type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9783319598055

Subject(s):

Additional physical formats: Print version:: Algebraic coding theory over finite commutative rings.; Printed edition:: No title; Printed edition:: No titleDDC classification:

512.46 23 DOA

Contents:

Introduction -- Ring Theory -- MacWilliams Relations -- Families of Rings -- Self-Dual Codes -- Cyclic and Constacyclic Codes.

Summary: 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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Holdings
Item type	Current library	Call number	Copy number	Status	Date due	Barcode
Books	Central Library, SUST General Stacks	512.46 DOA (Browse shelf(Opens below))	1	Available		0079061
Books	Central Library, SUST General Stacks	512.46 DOA (Browse shelf(Opens below))	2	Available		0079062

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.

Description based on publisher-supplied MARC data.

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