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Algebraic coding theory over finite ...

Dougherty, Steven T.

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Algebraic coding theory over finite commutative rings

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Algebraic coding theory over finite commutative rings/ by Steven T. Dougherty.
作者:	Dougherty, Steven T.
出版者:	Cham :Springer International Publishing : : 2017.,
面頁冊數:	x, 103 p. :ill., digital ;24 cm.
內容註:	Introduction -- Ring Theory -- MacWilliams Relations -- Families of Rings -- Self-Dual Codes -- Cyclic and Constacyclic Codes.
Contained By:	Springer eBooks
標題:	Commutative rings. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-59806-2
ISBN:	9783319598062

Algebraic coding theory over finite commutative rings
Dougherty, Steven T.

Algebraic coding theory over finite commutative rings[electronic resource] /by Steven T. Dougherty. - Cham :Springer International Publishing :2017. - x, 103 p. :ill., digital ;24 cm. - SpringerBriefs in mathematics,2191-8198. - SpringerBriefs in mathematics..

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.

ISBN: 9783319598062

Standard No.: 10.1007/978-3-319-59806-2doiSubjects--Topical Terms:

606074
Commutative rings.

LC Class. No.: QA251.3

Dewey Class. No.: 512.44

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505 0 $a Introduction -- Ring Theory -- MacWilliams Relations -- Families of Rings -- Self-Dual Codes -- Cyclic and Constacyclic Codes.
520 $a 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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