© 2001

Introduction to Cryptography


Part of the Undergraduate Texts in Mathematics book series (UTM)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Johannes A. Buchmann
    Pages 1-27
  3. Johannes A. Buchmann
    Pages 29-67
  4. Johannes A. Buchmann
    Pages 69-101
  5. Johannes A. Buchmann
    Pages 103-113
  6. DES
    Johannes A. Buchmann
    Pages 115-125
  7. Johannes A. Buchmann
    Pages 127-137
  8. Johannes A. Buchmann
    Pages 139-169
  9. Johannes A. Buchmann
    Pages 171-183
  10. Johannes A. Buchmann
    Pages 185-204
  11. Johannes A. Buchmann
    Pages 205-216
  12. Johannes A. Buchmann
    Pages 217-232
  13. Johannes A. Buchmann
    Pages 233-240
  14. Johannes A. Buchmann
    Pages 241-248
  15. Johannes A. Buchmann
    Pages 249-256
  16. Back Matter
    Pages 257-284

About this book


Cryptography is a key technology in electronic key systems. It is used to keep data secret, digitally sign documents, access control, etc. Therefore, users should not only know how its techniques work, but they must also be able to estimate their efficiency and security. For this new edition, the author has updated the discussion of the security of encryption and signature schemes and recent advances in factoring and computing discrete logarithms. He has also added descriptions of time-memory trade of attacks and algebraic attacks on block ciphers, the Advanced Encryption Standard, the Secure Hash Algorithm, secret sharing schemes, and undeniable and blind signatures.

Johannes A. Buchmann is a Professor of Computer Science and Mathematics at the Technical University of Darmstadt, and the Associate Editor of the Journal of Cryptology. In 1985, he received the Feodor Lynen Fellowship of the Alexander von Humboldt Foundation. Furthermore, he has received the most prestigious award in science in Germany, the Leibniz Award of the German Science Foundation.

About the first edition:

It is amazing how much Buchmann is able to do in under 300 pages: self-contained explanations of the relevant mathematics (with proofs); a systematic introduction to symmetric cryptosystems, including a detailed description and discussion of DES; a good treatment of primality testing, integer factorization, and algorithms for discrete logarithms; clearly written sections describing most of the major types of cryptosystems....This book is an excellent reference, and I believe it would also be a good textbook for a course for mathematics or computer science majors..."

-Neal Koblitz, The American Mathematical Monthly


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Authors and affiliations

  1. 1.Department of Computer ScienceTechnical University, DarmstadtDarmstadtGermany

Bibliographic information

  • Book Title Introduction to Cryptography
  • Authors Johannes Buchmann
  • Series Title Undergraduate Texts in Mathematics
  • DOI
  • Copyright Information Springer-Verlag New York 2001
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-0-387-95034-1
  • Softcover ISBN 978-1-4684-0498-2
  • eBook ISBN 978-1-4684-0496-8
  • Series ISSN 0172-6056
  • Edition Number 1
  • Number of Pages XI, 281
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Number Theory
    Data Structures and Information Theory
  • Buy this book on publisher's site
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