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A Course in Algebraic Error-Correcting Codes / by Simeon Ball
(Compact Textbooks in Mathematics. ISSN:2296455X)

Edition 1st ed. 2020.
Publisher Cham : Springer International Publishing : Imprint: Birkhäuser
Year 2020
Language English
Size XIII, 177 p. 12 illus., 5 illus. in color : online resource
Authors *Ball, Simeon author
SpringerLink (Online service)
Subjects LCSH:Computer science -- Mathematics  All Subject Search
LCSH:Coding theory
LCSH:Information theory
LCSH:Commutative algebra
LCSH:Commutative rings
FREE:Mathematical Applications in Computer Science
FREE:Coding and Information Theory
FREE:Commutative Rings and Algebras
Notes Euclidean Plane -- Sphere -- Stereographic Projection and Inversions -- Hyperbolic Plane -- Lorentz-Minkowski Plane -- Geometry of Special Relativity -- Answers to Selected Exercises -- Index
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
HTTP:URL=https://doi.org/10.1007/978-3-030-41153-4
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Springer eBooks 9783030411534
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EB00228654

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Material Type E-Book
Classification LCC:QA76.9.M35
DC23:004.0151
ID 4000134822
ISBN 9783030411534

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