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Fundamentals of Cryptology

A Professional Reference and Interactive Tutorial

  • Henk C. A. van Tilborg

Part of the The International Series in Engineering and Computer Science book series (SECS, volume 528)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Pages 1-7
  3. Pages 63-73
  4. Pages 75-85
  5. Pages 105-109
  6. Pages 147-211
  7. Pages 263-286
  8. Pages 315-320
  9. Pages 321-341
  10. Back Matter
    Pages 343-492

About this book

Introduction

The protection of sensitive information against unauthorized access or fraudulent changes has been of prime concern throughout the centuries. Modern communication techniques, using computers connected through networks, make all data even more vulnerable for these threats. Also, new issues have come up that were not relevant before, e. g. how to add a (digital) signature to an electronic document in such a way that the signer can not deny later on that the document was signed by him/her. Cryptology addresses the above issues. It is at the foundation of all information security. The techniques employed to this end have become increasingly mathematical of nature. This book serves as an introduction to modern cryptographic methods. After a brief survey of classical cryptosystems, it concentrates on three main areas. First of all, stream ciphers and block ciphers are discussed. These systems have extremely fast implementations, but sender and receiver have to share a secret key. Public key cryptosystems (the second main area) make it possible to protect data without a prearranged key. Their security is based on intractable mathematical problems, like the factorization of large numbers. The remaining chapters cover a variety of topics, such as zero-knowledge proofs, secret sharing schemes and authentication codes. Two appendices explain all mathematical prerequisites in great detail. One is on elementary number theory (Euclid's Algorithm, the Chinese Remainder Theorem, quadratic residues, inversion formulas, and continued fractions). The other appendix gives a thorough introduction to finite fields and their algebraic structure.

Keywords

Shannon Symbol algorithms coding theory communication computer cryptography data compression finite field information number theory

Authors and affiliations

  • Henk C. A. van Tilborg
    • 1
  1. 1.Eindhoven University of TechnologyThe Netherlands

Bibliographic information

  • DOI https://doi.org/10.1007/b116810
  • Copyright Information Kluwer Academic Publishers 2002
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-7923-8675-9
  • Online ISBN 978-0-306-47053-0
  • Series Print ISSN 0893-3405
  • Buy this book on publisher's site
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