Forward Error Correction Based On Algebraic-Geometric Theory
This book covers the design, construction, and implementation of algebraic-geometric codes from Hermitian curves. Matlab simulations of algebraic-geometric codes and Reed-Solomon codes compare their bit error rate using different modulation schemes over a
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Jafar A. Alzubi Omar A. Alzubi Thomas M. Chen
Forward Error Correction Based On AlgebraicGeometric Theory
SpringerBriefs in Electrical and Computer Engineering
For further volumes: http://www.springer.com/series/10059
Jafar A. Alzubi Omar A. Alzubi Thomas M. Chen •
Forward Error Correction Based On AlgebraicGeometric Theory
123
Jafar A. Alzubi Faculty of Engineering Al-Balqa Applied University Al-Salt Jordan
Thomas M. Chen School of Mathematics, Computer Science and Engineering City University London Northampton Square UK
Omar A. Alzubi Prince Abdullah Ben Ghazi Faculty of Information and Technology Al-Balqa Applied University Al-Salt Jordan
ISSN 2191-8112 ISSN 2191-8120 (electronic) ISBN 978-3-319-08292-9 ISBN 978-3-319-08293-6 (eBook) DOI 10.1007/978-3-319-08293-6 Springer Cham Heidelberg New York Dordrecht London Library of Congress Control Number: 2014942050 The Author(s) 2014 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
To Fatima and Mira —Jafar A. Alzubi To Zulfah, Mariam, Ahmad and Yousef —Omar A. Alzubi To Robin and Kayla —Thomas M. Chen
Preface
Algebraic-geometric (AG) codes are a new paradigm in coding theory which promise performance improvements for point-to-point communications systems. AG codes offer several advantages over state
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