Complexity and Cryptography: An Introduction / Edition 1

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Cryptography plays a crucial role in many aspects of today's world, from internet banking and e-commerce to e-mail and web-based business processes. Understanding the principles on which it is based is an important topic that requires a knowledge of both computational complexity and a range of topics in pure mathematics. This book provides that knowledge, combining an informal style with rigorous proofs of the key results to give an accessible introduction. It comes with plenty of examples and exercises (many with hints and solutions), and is based on a highly successful course developed and taught over many years to undergraduate and graduate students in mathematics and computer science.
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Editorial Reviews

From the Publisher
"...useful to mathematicians wishing to learn more complexity theory...Very readable...a very well-written book."
The Mathematical Association of America

"The book is well organized and very clearly written, with an abundance of well-thought-out exercises."
Mathematical Reviews

"This is a nice introductory textbook that covers the most important areas of cryptography in an easily accessible manner, provides numerous examples and easy exercises, and I really enjoyed reading it.... a recommendable source for an introductory course on cryptography..."
Jörg Rothe, ACM SIGACT News

"This book [combines] an informal writing style with rigorous proofs of the key results to give an accessible introduction. It also provides ample examples and exercises, many with hints and solutions"

"Their exposition is very clear, and they give a large number of examples throughout this discussion that made the book very readable even to those of us whose interests tend far more towards the theoretical than the algorithmic... A very well-written book that fills its niche quite well, and will make a welcome addition to any collection."
Darren Glass, Gettysburg College for MAA Reviews

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Product Details

  • ISBN-13: 9780521617710
  • Publisher: Cambridge University Press
  • Publication date: 1/12/2006
  • Edition description: New Edition
  • Edition number: 1
  • Pages: 304
  • Product dimensions: 6.06 (w) x 9.02 (h) x 0.71 (d)

Meet the Author

John Talbot is a Lecturer in Mathematics at University College London.

Dominic Welsh is a Professor of Mathematics at the Mathematics Institute, University of Oxford.

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Table of Contents

1 Basics of cryptography 1
2 Complexity theory 10
3 Non-deterministic computation 39
4 Probabilistic computation 67
5 Symmetric cryptosystems 99
6 One way functions 125
7 Public key cryptography 141
8 Digital signatures 170
9 Key establishment protocols 187
10 Secure encryption 203
11 Identification schemes 229
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