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Compact Textbooks in Mathematics
cover

A Course in Algebraic Error-Correcting Codes

Authors: Ball, Simeon

  • 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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書籍の購入

イーブック ¥4,492
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • イーブック版は、まもなく発売予定です。
  • 予定日: June 18, 2020
  • ISBN 978-3-030-41153-4
  • ウォーターマーク付、 DRMフリー
  • ファイル形式:
  • どの電子書籍リーダーからでもすぐにお読みいただけます。
ソフトカバー ¥5,615
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • 予定日: June 18, 2020
  • ISBN 978-3-030-41152-7
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
この教本について

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.

著者について

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.

書籍の購入

イーブック ¥4,492
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • イーブック版は、まもなく発売予定です。
  • 予定日: June 18, 2020
  • ISBN 978-3-030-41153-4
  • ウォーターマーク付、 DRMフリー
  • ファイル形式:
  • どの電子書籍リーダーからでもすぐにお読みいただけます。
ソフトカバー ¥5,615
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • 予定日: June 18, 2020
  • ISBN 978-3-030-41152-7
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
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書誌情報

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
イーブック ISBN
978-3-030-41153-4
DOI
10.1007/978-3-030-41153-4
ソフトカバー ISBN
978-3-030-41152-7
Series ISSN
2296-4568
Edition Number
1
Number of Pages
X, 180
Number of Illustrations
7 b/w illustrations, 5 illustrations in colour
Topics