Foundations of Cryptography: Volume 1, Basic Tools (Vol 1)

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. [v. 1] Basic Tools -- V. 2. Basic Applications. Oded Goldreich. Includes Bibliographical References (p. 355-366) And Index.

Cryptography is concerned with the conceptualization, definition and construction of computing systems that address security concerns. 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. Rather than describing ad-hoc approaches, this book emphasizes the clarification of fundamental concepts and the demonstration of the feasibility of solving cryptographic problems. It is suitable for use in a graduate course on cryptography and as a reference book for experts.

This book presents a rigorous and systematic treatment of the foundational issues of cryptography: 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. Rather than describing ad-hoc approaches, this book emphasizes the clarification of fundamental concepts and the demonstration of the feasibility of solving cryptographic problems. The design of cryptographic systems must be based on firm foundations. This book focuses on the basic mathematical tools needed for cryptographic design: computational difficulty (one-way functions), pseudorandomness and zero-knowledge proofs. Suitable for use in a graduate course, the book's emphasis is on the clarification of fundamental concepts, and on demonstrating the feasibility of solving important cryptographic problems In this chapter we define and study one-way functions.