---

＜電子ブック＞
A Course in Algebraic Error-Correcting Codes / by Simeon Ball
(Compact Textbooks in Mathematics. ISSN:2296455X)

版	1st ed. 2020.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2020
本文言語	英語
大きさ	XIII, 177 p. 12 illus., 5 illus. in color : online resource
著者標目	*Ball, Simeon author SpringerLink (Online service)
件　名	LCSH:Computer science -- Mathematics  全ての件名で検索 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
一般注記	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

 類似資料