暗号学と複雑性 Complexity and Cryptography : An Introduction

Talbot, John/ Welsh, Dominic

Cambridge Univ Pr（2006/02発売）

• 製本 Hardcover:ハードカバー版／ページ数 292 p.
• 言語 ENG
• 商品コード 9780521852319
• DDC分類 005.82

基本説明

Based on a long-established and successful course at Oxford in which the two subjects enrich other and together can be applied to such interesting and important topics as the security of cryptosystems, and interactive proof systems.

Full Description

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.

Contents

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.