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Algebraic coding theory over finite commutative rings / / by Steven T. Dougherty



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Autore: Dougherty Steven T Visualizza persona
Titolo: Algebraic coding theory over finite commutative rings / / by Steven T. Dougherty Visualizza cluster
Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017
Edizione: 1st ed. 2017.
Descrizione fisica: 1 online resource (103 pages) : illustrations, tables
Disciplina: 512.4
Soggetto topico: Associative rings
Rings (Algebra)
Information theory
Associative Rings and Algebras
Information and Communication, Circuits
Nota di bibliografia: Includes bibliographical references at the end of each chapters and index.
Nota di contenuto: Introduction -- Ring Theory -- MacWilliams Relations -- Families of Rings -- Self-Dual Codes -- Cyclic and Constacyclic Codes.
Sommario/riassunto: 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.
Titolo autorizzato: Algebraic Coding Theory Over Finite Commutative Rings  Visualizza cluster
ISBN: 3-319-59806-6
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910254276703321
Lo trovi qui: Univ. Federico II
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Serie: SpringerBriefs in Mathematics, . 2191-8198