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Compact Textbooks in Mathematics

A Course in Algebraic Error-Correcting Codes

Authors: Ball, Simeon

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  • Provides a rigorous mathematical perspective on error-correcting codes
  • Offers a pathway from the basics to the state-of-the-art, suitable for either independent study or the classroom
  • Corresponds to a one-semester course, where each chapter suits a two-hour lecture
  • Includes numerous helpful exercises with selected solutions provided
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eBook $39.99
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  • ISBN 978-3-030-41153-4
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Softcover $49.99
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  • ISBN 978-3-030-41152-7
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  • Immediate ebook access, if available*, with your print order
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About this Textbook

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.

About the authors

Simeon Ball is Senior Lecturer of Mathematics at Universitat Politècnica de Catalunya in Barcelona, Spain. He has been invited speaker at many international conferences, as well as serving on the scientific and organising committee for the Fq series of conferences. His research interests include classical and quantum error-correcting codes, incidence problems in real and finite geometries, graphs and semifields, and is particularly focused on applying geometrical and algebraic methods to these combinatorial objects. He also serves on the editorial board of the Journal of Geometry, having previously served on the editorial board of Designs, Codes and Cryptography and Finite Fields and Their Applications.

Table of contents (10 chapters)

Table of contents (10 chapters)

Buy this book

eBook $39.99
price for USA in USD
  • ISBN 978-3-030-41153-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.99
price for USA in USD
  • ISBN 978-3-030-41152-7
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
A Course in Algebraic Error-Correcting Codes
Authors
Series Title
Compact Textbooks in Mathematics
Copyright
2020
Publisher
Birkhäuser Basel
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-41153-4
DOI
10.1007/978-3-030-41153-4
Softcover ISBN
978-3-030-41152-7
Series ISSN
2296-4568
Edition Number
1
Number of Pages
XIII, 177
Number of Illustrations
7 b/w illustrations, 5 illustrations in colour
Topics

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