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A Course in Algebraic Error-Correcting Codes [[electronic resource] /] / by Simeon Ball



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Autore: Ball Simeon Visualizza persona
Titolo: A Course in Algebraic Error-Correcting Codes [[electronic resource] /] / by Simeon Ball Visualizza cluster
Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2020
Edizione: 1st ed. 2020.
Descrizione fisica: 1 online resource (185 pages) : illustrations
Disciplina: 005.717
Soggetto topico: Information theory
Coding theory
Commutative algebra
Commutative rings
Information and Communication, Circuits
Coding and Information Theory
Commutative Rings and Algebras
Nota di bibliografia: Includes bibliographical references and index.
Nota di contenuto: Euclidean Plane -- Sphere -- Stereographic Projection and Inversions -- Hyperbolic Plane -- Lorentz-Minkowski Plane -- Geometry of Special Relativity -- Answers to Selected Exercises -- Index.
Sommario/riassunto: This textbook provides a rigorous mathematical perspective on error-correcting codes, starting with the basics and progressing through to the state-of-the-art. Algebraic, combinatorial, and geometric approaches to coding theory are adopted with the aim of highlighting how coding can have an important real-world impact. Because it carefully balances both theory and applications, this book will be an indispensable resource for readers seeking a timely treatment of error-correcting codes. Early chapters cover fundamental concepts, introducing Shannon’s theorem, asymptotically good codes and linear codes. The book then goes on to cover other types of codes including chapters on cyclic codes, maximum distance separable codes, LDPC codes, p-adic codes, amongst others. Those undertaking independent study will appreciate the helpful exercises with selected solutions. A Course in Algebraic Error-Correcting Codes suits an interdisciplinary audience at the Masters level, including students of mathematics, engineering, physics, and computer science. Advanced undergraduates will find this a useful resource as well. An understanding of linear algebra is assumed.
Titolo autorizzato: A Course in Algebraic Error-Correcting Codes  Visualizza cluster
ISBN: 3-030-41153-2
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 996418256203316
Lo trovi qui: Univ. di Salerno
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Serie: Compact Textbooks in Mathematics, . 2296-4568