Five-Lectures Tutorial

Title: Five-Lectures Tutorial

Abstract: This tutorial provides an overview of selected topics in cryptology and computational complexity theory. It covers classical and modern cryptography, one-way functions, interactive proof systems, and zero-knowledge protocols. The tutorial emphasizes the relationship between these fields and presents some complex-theoretic results on interactive proof systems and related complexity classes.

Main Research Question: How can we design secure cryptographic systems, and what are the limitations of these systems?

Methodology: The tutorial uses a combination of lecture notes and examples to explain the concepts and principles of cryptography and computational complexity theory. It focuses on understanding the foundations of these fields, the development of cryptographic protocols, and the limitations of these protocols.

Results: The tutorial presents several important results in the field, including Shannon's theorem on perfect security, the RSA cryptosystem, and zero-knowledge protocols. It also discusses the security of RSA and possible attacks on the system, as well as the creation of strongly noninvertible one-way functions.

Implications: The tutorial highlights the importance of cryptography in protecting sensitive information and the challenges faced in designing secure systems. It also emphasizes the interplay between cryptography and computational complexity theory, and the implications of these fields for our understanding of computer science and information theory.

Conclusion: This tutorial provides a comprehensive overview of the field of cryptography and computational complexity theory, focusing on the foundations, key concepts, and important results. It is suitable for a general audience interested in learning about these fields and their implications for our digital world.

Link to Article: https://arxiv.org/abs/0111056v1 Authors: arXiv ID: 0111056v1