Algebraic Coding Theory Over Finite Commutative Rings

Lieferzeit: Lieferbar innerhalb 14 Tagen

80,24 

SpringerBriefs in Mathematics

ISBN: 3319598058
ISBN 13: 9783319598055
Autor: Dougherty, Steven T
Verlag: Springer Verlag GmbH
Umfang: x, 103 S.
Erscheinungsdatum: 14.07.2017
Auflage: 1/2017
Format: 0.7 x 23.5 x 15.4
Gewicht: 192 g
Produktform: Kartoniert
Einband: Kartoniert

Presents the foundations required to study codes over ringsOffers generalizations of the classical bounds of coding theoryGives a complete proof of the generalized MacWilliams relations for codes over ringsIncludes numerous examples to illustrate abstract notionsIncludes supplementary material: sn.pub/extras

Artikelnummer: 2329241 Kategorie:

Beschreibung

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.

Autorenporträt

Steven T. Dougherty is professor of mathematics and the 2005 recipient of the Hasse Prize. He has authored numerous publications in coding theory, algebra, combinatorics, number theory and game theory. He has lectured extensively in eleven different countries.

Herstellerkennzeichnung:


Springer Verlag GmbH
Tiergartenstr. 17
69121 Heidelberg
DE

E-Mail: juergen.hartmann@springer.com

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