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.

2nd edition.

"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 science or mathematics background who are seeking a pathway to understanding the current cryptography research literature. In the preface, the authors mention their aim of treating modern cryptography through a unified approach that is rigorous yet accessible-Introduction to Modern Cryptography achieves this admirably."-Mathematical Reviews, August 2015 Praise for the First Edition:"This book is a comprehensive, rigorous introduction to what the authors name 'modern' cryptography. ? a novel approach to how cryptography is taught, replacing the older, construction-based approach. ? The concepts are clearly stated, both in an intuitive fashion and formally. ? I would heartily recommend this book to anyone who is interested in cryptography. ? The exercises are challenging and interesting, and can benefit readers of all academic levels."-IACR Book Reviews, January 2010 "Over the past 30 years, cryptography has been transformed from a mysterious art into a mathematically rigorous science. The textbook by Jonathan Katz and Yehuda Lindell finally makes this modern approach to cryptography accessible to a broad audience. Readers of this text will learn how to think precisely about the security of protocols against arbitrary attacks, a skill that will remain relevant and useful regardless of how technology and cryptography standards change. The book uses just enough formalism to maintain precision and rigor without obscuring the development of ideas. It manages to convey both the theory's conceptual beauty and its relevance to practice. I plan to use it every time I teach an undergraduate course in cryptography."-Salil Vadhan, Harvard University, Cambridge, Massachusetts, USA "The greatest attribute is the fact that the material is presented in such a unified way. This is not just a collection of topics from cryptography thrown together at random. One topic leads effortlessly to the next. As such, this is a virtually indispensable resource for modern cryptography."-Donald L. Vestal, South Dakota State University, Brookings, USA, MAA Online, July 2008 "? an excellent introduction to the theoretical background of cryptography. It would be a fine textbook for an advanced undergraduate (or graduate) course in theoretical computer science for students who have already seen the rudiments of cryptography. It will be a valuable reference for researchers in the field."-Steven D. Galbraith, Mathematical Reviews, 2009 "The book is highly recommended as a textbook in cryptography courses at graduate or advanced undergraduate levels. ? covers, in a splendid way, the main notions of current cryptography from the point of view of information-theoretical security. This corresponds indeed to a modern cryptography approach."-Guillermo Morales-Luna, Zentralblatt MATH, Vol. 1143