暗号学の基礎 Foundations of Cryptography: Volume 1, Basic Tools

Goldreich, Oded

Cambridge University Press（2007/01発売）

Cambridge University Press（2007/01発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 396 p.
• 言語 ENG
• 商品コード 9780521035361
• DDC分類 005.82

基本説明

Focuses on the basic mathematical tools needed for cryptographic design: computational difficulty (one-way functions), pseudorandomness and zero-knowledge proofs.

Full Description

Cryptography is concerned with the conceptualization, definition and construction of computing systems that address security concerns. The design of cryptographic systems must be based on firm foundations. This book presents a rigorous and systematic treatment of the foundational issues: defining cryptographic tasks and solving new cryptographic problems using existing tools. It focuses on the basic mathematical tools: computational difficulty (one-way functions), pseudorandomness and zero-knowledge proofs. The emphasis is on the clarification of fundamental concepts and on demonstrating the feasibility of solving cryptographic problems, rather than on describing ad-hoc approaches. The book is suitable for use in a graduate course on cryptography and as a reference book for experts. The author assumes basic familiarity with the design and analysis of algorithms; some knowledge of complexity theory and probability is also useful.

Contents

List of figures; Preface; 1. Introduction; 2. Computational difficulty; 3. Pseudorandom generators; 4. Zero-knowledge proof systems; Appendix A: background in computational number theory; Appendix B: brief outline of volume 2; Bibliography; Index.