Introduction To Modern Cryptography

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.

Introduction and Classical Cryptography. Introduction. Perfectly Secret Encryption. Private-Key (Symmetric) Cryptography. Private-Key Encryption. Message Authentication Codes. Hash Functions and Applications. Practical Constructions of Symmetric-Key Primitives. Theoretical Constructions of Symmetric-Key Primitives. Public-Key (Asymmetric) Cryptography. Number Theory and Cryptographic Hardness Assumptions. Algorithms for Factoring and Computing Discrete Logarithms. Key Management and the Public-Key Revolution. Public-Key Encryption. Digital Signature Schemes. Advanced Topics in Public-Key Encryption. Appendices.

"The work is comprehensive, rigorous, and yet accessible for dedicated students."
—Computing Reviews, October 2015

"… this book fills a significant gap among previous cryptography textbooks by explicitly discussing the philosophy behind this approach, gradually building up the relevant theory and giving a broad overview of the discipline conceived within this framework. The result is a coherent picture of the field that provides a pleasing clarity in its explanation of this perspective through a systematic, step-by-step development of important concepts. … The material from the first edition has been restructured and expanded, with an emphasis on practical aspects that provides a nice counterpoint to the theory and helps to highlight its real-world relevance. … This textbook is appropriate for use in teaching at either an advanced undergraduate or graduate level … a particularly valuable resource for graduate students with a computer scie