A Course in Mathematical Cryptography

A Course in Mathematical Cryptography

The subject of this book is mathematical cryptography. By this we mean the mathematics involved in cryptographic protocols. As the field has expanded, using both commutative and noncommutative algebraic objects as cryptographic platforms, a book describing and explaining all these mathematical metho...

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Bibliographic Details
Main Authors: Baumslag, Gilbert (Author, Verfasser), Fine, Benjamin 1948- (Verfasser), Kreuzer, Martin (Verfasser), Rosenberger, Gerhard (Verfasser)
Format: eBook
Language:English
Published: Berlin/Boston De Gruyter 2015
Series:De Gruyter Textbook
Subjects:
Coding theory.
Cryptography > Mathematics.
Data encryption (Computer science)
Public key cryptography.
Online Access:CONNECT
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Table of Contents:
  • Frontmatter
  • Preface
  • Contents
  • 1. Basic Ideas of Cryptography
  • 2. Symmetric Key Cryptosystems
  • 3. Cryptanalysis and Complexity
  • 4. Cryptographic Protocols
  • 5. Elementary Number Theoretic Techniques
  • 6. Some Number Theoretic Algorithms
  • 7. Public Key Cryptography
  • 8. Elliptic Curve Cryptography
  • 9. Basic Concepts from Group Theory
  • 10. Non-Commutative Group Based Cryptography
  • 11. Platform Groups and Braid Group Cryptography
  • 12. Further Applications Using Group Theory
  • 13. Commutative Gröbner Basis Methods
  • 14. Non-Commutative Gröbner Basis Methods
  • 15. Lattice-Based Cryptography
  • Bibliography
  • Index.

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