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A course in algebraic error-correcti...

Ball, Simeon.

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A course in algebraic error-correcting codes

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	A course in algebraic error-correcting codes/ by Simeon Ball.
作者:	Ball, Simeon.
出版者:	Cham :Springer International Publishing : : 2020.,
面頁冊數:	xiii, 177 p. :ill., digital ;24 cm.
內容註:	Euclidean Plane -- Sphere -- Stereographic Projection and Inversions -- Hyperbolic Plane -- Lorentz-Minkowski Plane -- Geometry of Special Relativity -- Answers to Selected Exercises -- Index.
Contained By:	Springer eBooks
標題:	Error-correcting codes (Information theory) -
電子資源:	https://doi.org/10.1007/978-3-030-41153-4
ISBN:	9783030411534

A course in algebraic error-correcting codes
Ball, Simeon.

A course in algebraic error-correcting codes[electronic resource] /by Simeon Ball. - Cham :Springer International Publishing :2020. - xiii, 177 p. :ill., digital ;24 cm. - Compact textbooks in mathematics,2296-4568. - Compact textbooks in mathematics..

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.

ISBN: 9783030411534

Standard No.: 10.1007/978-3-030-41153-4doiSubjects--Topical Terms:

549557
Error-correcting codes (Information theory)

LC Class. No.: QA268 / .B355 2020

Dewey Class. No.: 005.717

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520 $a 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.
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