Digital Signatures
Digital Signatures is the first comprehensive account of the theoretical principles and techniques used in the design of provably secure signature schemes. In addition to providing the reader with a better understanding of the security guarantees provided
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Jonathan Katz
Digital Signatures
Jonathan Katz Department of Computer Science University of Maryland A.V. Williams Bldg. College Park, MD 20742 USA [email protected]
ISBN 978-0-387-27711-0 e-ISBN 978-0-387-27712-7 DOI 10.1007/978-0-387-27712-7 Springer New York Dordrecht Heidelberg London Library of Congress Control Number: 2010927931 © Springer Science+Business Media, LLC 2010 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
To Jill, Abigail, and Rena
Preface
As a beginning graduate student, I recall being frustrated by a general lack of accessible sources from which I could learn about (theoretical) cryptography. I remember wondering: why aren’t there more books presenting the basics of cryptography at an introductory level? Jumping ahead almost a decade later, as a faculty member my graduate students now ask me: what is the best resource for learning about (various topics in) cryptography? This monograph is intended to serve as an answer to these questions — at least with regard to digital signature schemes.1 Given the above motivation, this book has been written with a beginning graduate student in mind: a student who is potentially interested in doing research in the field of cryptography, and who has taken an introductory course on the subject, but is not sure where to turn next. Though intended primarily for that audience, I hope that advanced graduate students and researchers will find the book useful as well. In addition to covering various constructions of digital signature schemes in a unified framework, this text also serves as a compendium of various “folklore” results that are, perhaps, not as well known as they should be. This book could also serve as a textbook for a graduate seminar on advanced cryptography; in such a class, I expect the entire book could be covered at a leisurely pace in one semester with perhaps some time left over for excursions into related topics. I hope it will also prove helpful to graduate students and researchers in other fields, such as computer security or mathematics, who want to obtain a more thorough appreciation of digital signatures and known results in this area. The only real prerequisite for this book is a previous course (at the undergraduate or graduate level) covering the basic foundation
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