Complexity and Cryptography
An Introduction

Introductory textbook on Cryptography.

John Talbot (Author), Dominic Welsh (Author)

9780521617710, Cambridge University Press

Paperback, published 12 January 2006

304 pages, 172 exercises
22.9 x 15.4 x 1.8 cm, 0.433 kg

'The book is beautifully structured and elegantly written in a compact yet accessible style. It is based on a course taught by the authors and has numerous problems, many provided with hints and or solutions. For these reasons, it is ideally suited for an advanced undergraduate or post graduate course.' The Times Higher Education Supplement

Cryptography plays a crucial role in many aspects of today's world, from internet banking and ecommerce to email 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.

1. Basics of cryptography
2. Complexity theory
3. Non-deterministic computation
4. Probabilistic computation
5. Symmetric cryptosystems
6. One-way functions
7. Public key cryptography
8. Digital signatures
9. Key establishment protocols
10. Secure encryption
11. Identification schemes
Appendix 1
Appendix 2
Appendix 3
Appendix 4
Appendix 5
Appendix 6
Bibliography
Index.

Subject Areas: Coding theory & cryptology [GPJ]