Introduction to Modern Cryptography, 2nd Edition

Cryptography is ubiquitous and plays a key role in ensuring data secrecy and integrity as well as in securing computer systems more broadly. Introduction to Modern Cryptography provides a rigorous yet accessible treatment of this fascinating subject.

The authors introduce the core principles of modern cryptography, with an emphasis on formal definitions, clear assumptions, and rigorous proofs of security. The book begins by focusing on private-key cryptography, including an extensive treatment of private-key encryption, message authentication codes, and hash functions. The authors also present design principles for widely used stream ciphers and block ciphers including RC4, DES, and AES, plus provide provable constructions of stream ciphers and block ciphers from lower-level primitives. The second half of the book covers public-key cryptography, beginning with a self-contained introduction to the number theory needed to understand the RSA, Diffie-Hellman, and El Gamal cryptosystems (and others), followed by a thorough treatment of several standardized public-key encryption and digital signature schemes.

Integrating a more practical perspective without sacrificing rigor, this widely anticipated Second Edition offers improved treatment of:

• Stream ciphers and block ciphers, including modes of operation and design principles
• Authenticated encryption and secure communication sessions
• Hash functions, including hash-function applications and design principles
• Attacks on poorly implemented cryptography, including attacks on chained-CBC encryption, padding-oracle attacks, and timing attacks
• The random-oracle model and its application to several standardized, widely used public-key encryption and signature schemes
• Elliptic-curve cryptography and associated standards such as DSA/ECDSA and DHIES/ECIES

Containing updated exercises and worked examples, Introduction to Modern Cryptography, Second Edition can serve as a textbook for undergraduate- or graduate-level courses in cryptography, a valuable reference for researchers and practitioners, or a general introduction suitable for self-study.

Table of Contents

Part I: Introduction and Classical Cryptography
Chapter 1: Introduction
Chapter 2: Perfectly Secret Encryption

Part II: Private-Key (Symmetric) Cryptography
Chapter 3: Private-Key Encryption
Chapter 4: Message Authentication Codes
Chapter 5: Hash Functions and Applications
Chapter 6: Practical Constructions of Symmetric-Key Primitives
Chapter 7: Theoretical Constructions of Symmetric-Key Primitives

Part III: Public-Key (Asymmetric) Cryptography
Chapter 8: Number Theory and Cryptographic Hardness Assumptions
Chapter 9: Algorithms for Factoring and Computing Discrete Logarithms
Chapter 10: Key Management and the Public-Key Revolution
Chapter 11: Public-Key Encryption
Chapter 12: Digital Signature Schemes
Chapter 13: Advanced Topics in Public-Key Encryption

Appendix A: Mathematical Background
Appendix B: Basic Algorithmic Number Theory