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A Course in Algebraic Error-Correcting Codes

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	A Course in Algebraic Error-Correcting Codes/ by Simeon Ball.
作者:	Ball, Simeon.
面頁冊數:	XIII, 177 p. 12 illus., 5 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Commutative Rings and Algebras. -
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. - 1st ed. 2020. - XIII, 177 p. 12 illus., 5 illus. in color.online resource. - 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:

672054
Commutative Rings and Algebras.

LC Class. No.: Q350-390

Dewey Class. No.: 519

A Course in Algebraic Error-Correcting Codes
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