© 2007

Introduction to Cryptography

Principles and Applications


  • Compact introduction on an undergraduate level to the foundations of public-key cryptography in the first part

  • No special background in mathematics is presumed, an explanation of the necessary mathematics is given in two appendices

  • The same examples are used throughout the book

  • Complete proofs are given


Part of the Information Security and Cryptography book series (ISC)

Table of contents

  1. Front Matter
    Pages I-XVI
  2. Hans Delfs, Helmut Knebl
    Pages 1-10
  3. Hans Delfs, Helmut Knebl
    Pages 11-31
  4. Hans Delfs, Helmut Knebl
    Pages 33-80
  5. Hans Delfs, Helmut Knebl
    Pages 81-133
  6. Hans Delfs, Helmut Knebl
    Pages 135-145
  7. Hans Delfs, Helmut Knebl
    Pages 147-174
  8. Hans Delfs, Helmut Knebl
    Pages 175-198
  9. Hans Delfs, Helmut Knebl
    Pages 199-213
  10. Hans Delfs, Helmut Knebl
    Pages 215-263
  11. Hans Delfs, Helmut Knebl
    Pages 265-287
  12. Back Matter
    Pages 289-367

About this book


Due to the rapid growth of digital communication and electronic data exchange, information security has become a crucial issue in industry, business, and administration. Modern cryptography provides essential techniques for securing information and protecting data.

In the first part, this book covers the key concepts of cryptography on an undergraduate level, from encryption and digital signatures to cryptographic protocols. Essential techniques are demonstrated in protocols for key exchange, user identification, electronic elections and digital cash. In the second 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 mathematics is presumed. The necessary algebra, number theory and probability theory are included in the appendix. Each chapter closes with a collection of exercises.

The second edition contains corrections, revisions and new material, including a complete description of the AES, an extended section on cryptographic hash functions, a new section on random oracle proofs, and a new section on public-key encryption schemes that are provably secure against adaptively-chosen-ciphertext attacks.


AES DES communication cryptography information information security information theory

Authors and affiliations

  1. 1.Department of Computer ScienceGeorg-Simon-Ohm University of Applied Sciences NürnbergNürnbergGermany

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