A Course in Mathematical Cryptography /

Cryptography has become essential as bank transactions, credit card infor-mation, contracts, and sensitive medical information are sent through inse-cure channels. This book is concerned with the mathematical, especially algebraic, aspects of cryptography. It grew out of many courses presented by th...

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Bibliographic Details
Main Authors: Baumslag, Gilbert (Author), Fine, Benjamin (Author), Kreuzer, Martin (Author), Rosenberger, Gerhard (Author)
Format: eBook
Language:English
Published: Berlin ; Boston : De Gruyter, 2015
Series:De Gruyter Textbook
Subjects:
ISBN:9783110372779
Online Access: Get full text
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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