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Complexity and Cryptography: An Introduction / Edition 1

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More About This Textbook

Overview

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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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: 5.98 (w) x 8.98 (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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