A Course in Algebraic Error-Correcting Codes (Paperback, 1st ed. 2020)

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.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Series:	Compact Textbooks in Mathematics
Release date:	May 2020
First published:	2020
Authors:	Simeon Ball
Dimensions:	235 x 155mm (L x W)
Format:	Paperback
Pages:	177
Edition:	1st ed. 2020
ISBN-13:	978-3-03-041152-7
Categories:	Books > Reference & Interdisciplinary > Communication studies > Coding theory & cryptology Books > Science & Mathematics > Mathematics > Algebra > General Books > Science & Mathematics > Mathematics > Applied mathematics > General
LSN:	3-03-041152-4
Barcode:	9783030411527

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