Complexity and Cryptography, An Introduction

EBook Description: This book originated in a well-established yet constantly evolving course on Complexity and Cryptography which we have both given to final year Mathematics undergraduates at Oxford for many years. It has also formed part of an M.Sc. course on Mathematics and the Foundations of Computer Science, and has been the basis for a more recent course on Randomness and Complexity for the same groups of students. One of the main motivations for setting up the course was to give mathematicians, who traditionally meet little in the way of algorithms, a taste for the beauty and importance of the subject. Early on in the book the reader will have gained sufficient background to understand what is now regarded as one of the top ten major open questions of this century, namely the P = NP question. At the same time the student is exposed to the mathematics underlying the security of cryptosystems which are now an integral part of the modern �email age�. Although this book provides an introduction to many of the key topics in complexity theory and cryptography, we have not attempted to write a comprehensive text. Obvious omissions include cryptanalysis, elliptic curve cryptography, quantum cryptography and quantum computing. These omissions have allowed us to keep the mathematical prerequisites to a minimum. Throughout the text the emphasis is on explaining the main ideas and proving the mathematical results rigorously. Thus we have not given every result in complete generality.

Handbook of Applied Cryptography (A.J. Menezes, P.C. van Oorschot, S.A. Vanstone)

Lecture Notes on Cryptography (S. Goldwasser and M. Bellare)

Lecture Notes on Cryptography (S. Goldwasser and M. Bellare)

Introduction to Modern Cryptography (M. Bellare and P. Rogaway)

Introduction to Modern Cryptography (M. Bellare and P. Rogaway)

Cryptography A Z

Cryptography A Z

How PGP Works

How PGP Works

Basic Cryptanalysis

Basic Cryptanalysis

Modern Cryptography (P. Rogaway)

Modern Cryptography (P. Rogaway)

Cryptography and Cryptanalysis Lecture Notes (A. Lysyanskaya)

Cryptography and Cryptanalysis Lecture Notes (A. Lysyanskaya)

Foundations of Cryptography (O. Goldreich)

Foundations of Cryptography (O. Goldreich)

An Introduction to Cryptography

An Introduction to Cryptography

• Free IAS eBooks
• Free GRE eBooks
• Free MBA eBooks
• Free GATE eBooks