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Fundamentals of Cryptology

A Professional Reference and Interactive Tutorial

  • Textbook
  • © 2000

Overview

Authors:
  1. Henk C. A. Tilborg

    1. Eindhoven University of Technology, The Netherlands

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

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-xiv
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  2. Introduction

    Pages 1-7

  3. Classical Cryptosystems

    Pages 9-25

  4. Shift Register Sequences

    Pages 27-62

  5. Block Ciphers

    Pages 63-73

  6. Shannon Theory

    Pages 75-85

  7. Data Compression Techniques

    Pages 87-103

  8. Public-Key Cryptography

    Pages 105-109

  9. Discrete Logarithm Based Systems

    Pages 111-146

  10. RSA Based Systems

    Pages 147-211

  11. Elliptic Curves Based Systems

    Pages 213-236

  12. Coding Theory Based Systems

    Pages 237-261

  13. Knapsack Based Systems

    Pages 263-286

  14. Hash Codes & Authentication Techniques

    Pages 287-314

  15. Zero Knowledge Protocols

    Pages 315-320

  16. Secret Sharing Systems

    Pages 321-341

  17. Back Matter

    Pages 343-492
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Keywords

About this book

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.

Reviews

`This is a thoroughly written wonderful book on cryptography! This excellent book is warmly recommended for mathematicians, computer scientists, for professors and students, and, as a reference book, for researchers in the area of cryptography.'
Acta Scientiarum Mathematicarum, 69

Authors and Affiliations

  • Eindhoven University of Technology, The Netherlands

    Henk C. A. Tilborg

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