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Cryptography

  • Simon Rubinstein-Salzedo

Part of the Springer Undergraduate Mathematics Series book series (SUMS)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Simon Rubinstein-Salzedo
    Pages 1-3
  3. Simon Rubinstein-Salzedo
    Pages 5-8
  4. Simon Rubinstein-Salzedo
    Pages 9-23
  5. Simon Rubinstein-Salzedo
    Pages 25-39
  6. Simon Rubinstein-Salzedo
    Pages 41-54
  7. Simon Rubinstein-Salzedo
    Pages 55-62
  8. Simon Rubinstein-Salzedo
    Pages 63-73
  9. Simon Rubinstein-Salzedo
    Pages 75-83
  10. Simon Rubinstein-Salzedo
    Pages 85-87
  11. Simon Rubinstein-Salzedo
    Pages 89-98
  12. Simon Rubinstein-Salzedo
    Pages 113-126
  13. Simon Rubinstein-Salzedo
    Pages 127-140
  14. Simon Rubinstein-Salzedo
    Pages 141-155
  15. Simon Rubinstein-Salzedo
    Pages 157-171
  16. Simon Rubinstein-Salzedo
    Pages 173-189
  17. Simon Rubinstein-Salzedo
    Pages 191-205
  18. Simon Rubinstein-Salzedo
    Pages 207-219
  19. Simon Rubinstein-Salzedo
    Pages 221-230
  20. Simon Rubinstein-Salzedo
    Pages 231-250
  21. Back Matter
    Pages 251-259

About this book

Introduction

This text introduces cryptography, from its earliest roots to cryptosystems used today for secure online communication.


Beginning with classical ciphers and their cryptanalysis, this book proceeds to focus on modern public key cryptosystems such as Diffie-Hellman, ElGamal, RSA, and elliptic curve cryptography with an analysis of vulnerabilities of these systems and underlying mathematical issues such as factorization algorithms. Specialized topics such as zero knowledge proofs, cryptographic voting, coding theory, and new research are covered in the final section of this book.

Aimed at undergraduate students, this book contains a large selection of problems, ranging from straightforward to difficult, and can be used as a textbook for classes as well as self-study. Requiring only a solid grounding in basic mathematics, this book will also appeal to advanced high school students and amateur mathematicians interested in this fascinating and topical subject.



 

Keywords

Cryptography ciphers cryptanalysis publickey cryptosystems elliptic curve cryptography RSA DiffieHellman ElGamal factorization algorithms coding theory cryptographic voting

Authors and affiliations

  • Simon Rubinstein-Salzedo
    • 1
  1. 1.Palo AltoUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-94818-8
  • Copyright Information Springer Nature Switzerland AG 2018
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-94817-1
  • Online ISBN 978-3-319-94818-8
  • Series Print ISSN 1615-2085
  • Series Online ISSN 2197-4144
  • Buy this book on publisher's site