Introduction to Modern Cryptography—Principles And Protocols

Cryptography plays a key role in ensuring the privacy and integrity of data and the security of computer networks. Introduction to Modern Cryptography provides a rigorous yet accessible treatment of modern cryptography, with a focus on formal definitions, precise assumptions, and rigorous proofs.The authors introduce the core principles of modern cryptography, including the modern, computational approach to security that overcomes the limitations of perfect secrecy. An extensive treatment of private-key encryption and message authentication follows. The authors also illustrate design principles for block ciphers, such as the Data Encryption Standard (DES) and the Advanced Encryption Standard (AES), and present provably secure constructions of block ciphers from lower-level primitives. The second half of the book focuses on public-key cryptography, beginning with a self-contained introduction to the number theory needed to understand the RSA, Diffie-Hellman, El Gamal, and other cryptosystems. After exploring public-key encryption and digital signatures, the book concludes with a discussion of the random oracle model and its applications.Serving as a textbook, a reference, or for self-study, Introduction to Modern Cryptography presents the necessary tools to fully understand this fascinating subject.

Ch1: INTRODUCTION

Ch2: PERFECTLY SECRET ENCRYPTION

Ch3: PRIVATE-KEY ENCRYPTION AND PSEUDORANDOMNESS

Ch4: MESSAGE AUTHENTICATION CODES AND COLLISION-RESISTANT HASH FUNCTIONS

Ch5: PRACTICAL CONSTRUCTIONS OF PSEUDORANDOM PERMUTATIONS (BLOCK CIPHERS)

Ch6: THEORETICAL CONSTRUCTIONS OF PSEUDORANDOM OBJECTS

Ch7: NUMBER THEORY AND CRYPTOGRAPHIC HARDNESS ASSUMPTIONS

Ch8: FACTORING AND COMPUTING DISCRETE LOGARITHMS

Ch9: PRIVATE-KEY MANAGEMENT AND THE PUBLIC-KEY REVOLUTION

Ch10: PUBLIC-KEY ENCRYPTION

Ch11: ADDITIONAL PUBLIC-KEY ENCRYPTION SCHEMES

Ch12: DIGITAL SIGNATURE SCHEMES

Ch13: PUBLIC-KEY CRYPTOSYSTEMS IN THE RANDOM ORACLE MODEL

APPENDIX A: MATHEMATICAL BACKGROUND

APPENDIX B: SUPPLEMENTARY ALGORITHMIC NUMBER THEORY

References

Index