A Course in Cryptography
eBook - PDF

A Course in Cryptography

Heiko Knospe

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

A Course in Cryptography

Heiko Knospe

Book details
Table of contents
Citations

About This Book

This book provides a compact course in modern cryptography. The mathematical foundations in algebra, number theory and probability are presented with a focus on their cryptographic applications. The text provides rigorous definitions and follows the provable security approach. The most relevant cryptographic schemes are covered, including block ciphers, stream ciphers, hash functions, message authentication codes, public-key encryption, key establishment, digital signatures and elliptic curves. The current developments in post-quantum cryptography are also explored, with separate chapters on quantum computing, lattice-based and code-based cryptosystems.Many examples, figures and exercises, as well as SageMath (Python) computer code, help the reader to understand the concepts and applications of modern cryptography. A special focus is on algebraic structures, which are used in many cryptographic constructions and also in post-quantum systems. The essential mathematics and the modern approach to cryptography and security prepare the reader for more advanced studies.The text requires only a first-year course in mathematics (calculus and linear algebra) and is also accessible to computer scientists and engineers. This book is suitable as a textbook for undergraduate and graduate courses in cryptography as well as for self-study.

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Information

Publisher
American Mathematical Society
Year
2019
ISBN
9781470453893
Topic
Mathematics
Subtopic
Applied Mathematics
Index
Mathematics

Table of contents

  1. Cover
  2. Title page
  3. Contents
  4. Preface
  5. Getting Started with SageMath
  6. Chapter 1. Fundamentals
  7. Chapter 2. Encryption Schemes and Definitions of Security
  8. Chapter 3. Elementary Number Theory
  9. Chapter 4. Algebraic Structures
  10. Chapter 5. Block Ciphers
  11. Chapter 6. Stream Ciphers
  12. Chapter 7. Hash Functions
  13. Chapter 8. Message Authentication Codes
  14. Chapter 9. Public-Key Encryption and the RSA Cryptosystem
  15. Chapter 10. Key Establishment
  16. Chapter 11. Digital Signatures
  17. Chapter 12. Elliptic Curve Cryptography
  18. Chapter 13. Quantum Computing
  19. Chapter 14. Lattice-based Cryptography
  20. Chapter 15. Code-based Cryptography
  21. Bibliography
  22. Index
  23. Back cover
Citation styles for A Course in Cryptography

APA 6 Citation

Knospe, H. (2019). A Course in Cryptography ([edition missing]). American Mathematical Society. Retrieved from https://www.perlego.com/book/1666983/a-course-in-cryptography-pdf (Original work published 2019)

Chicago Citation

Knospe, Heiko. (2019) 2019. A Course in Cryptography. [Edition missing]. American Mathematical Society. https://www.perlego.com/book/1666983/a-course-in-cryptography-pdf.

Harvard Citation

Knospe, H. (2019) A Course in Cryptography. [edition missing]. American Mathematical Society. Available at: https://www.perlego.com/book/1666983/a-course-in-cryptography-pdf (Accessed: 25 September 2021).

MLA 7 Citation

Knospe, Heiko. A Course in Cryptography. [edition missing]. American Mathematical Society, 2019. Web. 25 Sept. 2021.