The 1st part of this ebook, * Introduction to Cryptography: Principles and Applications 3rd edition* (PDF) covers the key concepts of cryptography on an undergraduate level, from digital signatures and encryption to cryptographic protocols. Essential techniques are demonstrated in protocols for key exchange, electronic elections, user identification and digital cash. In the 2nd part, more advanced topics are addressed, such as the bit security of one-way functions and computationally perfect pseudorandom bit generators. The security of cryptographic schemes is a central topic. Typical examples of provably secure encryption and signature schemes and their security proofs are given. Though particular attention is given to the mathematical foundations, no special background in maths is presumed. The necessary number theory, algebra and probability theory are included in the appendix. Each chapter closes with a collection of exercises.

In the 2nd edition the authors added an extended section on cryptographic hash functions, a complete description of the AES, and new sections on random oracle proofs and public-key encryption schemes that are provably secure against adaptively-chosen-ciphertext attacks. *Introduction to Cryptography 3rd edition* is a further substantive extension, with new topics added, including: Paillier encryption; elliptic curve cryptography; the new SHA-3 standard for cryptographic hash functions; quantum cryptography; a considerably extended section on electronic elections and Internet voting; mix nets; and zero-knowledge proofs of shuffles.

The ebook is appropriate for graduate and undergraduate students in mathematics, computer science, and engineering.

### Reviews of Introduction to Cryptography: Principles and Applications (3rd Edition) – Information Security and Cryptography

“Delfs and Knebl in this book focus on the mathematical aspects of cryptography. … this book is best suited for a graduate course in mathematics. … recommend this book for readers with strong mathematical backgrounds who are interested in the foundations of the field.”

*— Burkhard Englert, Computing Reviews, March, 2016*

“This is a thorough introductory textbook on cryptography from an engineering viewpoint. It provides a good overview of the whole subject, including secret-key (‘symmetric’) and public-key methods, hash functions, and signing. There’s a ninty-page appendix that summarizes the mathematics needed (mostly number theory, with some probability and abstract algebra). The book is well-written and easy to follow.”

*— Allen Stenger, MAA Reviews, maa.org, April, 2016*

“The ebook has several new inclusions over its previous editions including the SHA-3 algorithm for hashing and ElGamal encryption. … The authors also include a textual context for each of the ciphers and hashing algorithms with both historical significance and potential application, which makes this an excellent reference book for researchers, graduate-level learners, and professionals. Overall, this work … offers an excellent view of the current state of cryptography. … Summing Up: Highly recommended. Researchers/faculty, Graduate students, and professionals/practitioners.”

*— T. D. Richardson, Choice, Vol. 53 (11), July, 2016*

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