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A Cryptography Primer

A Cryptography Primer

A Cryptography Primer

Secrets and Promises
Philip N. Klein, Brown University, Rhode Island
March 2014
Paperback
9781107603455

    Cryptography has been employed in war and diplomacy from the time of Julius Caesar. In our Internet age, cryptography's most widespread application may be for commerce, from protecting the security of electronic transfers to guarding communication from industrial espionage. This accessible introduction for undergraduates explains the cryptographic protocols for achieving privacy of communication and the use of digital signatures for certifying the validity, integrity, and origin of a message, document, or program. Rather than offering a how-to on configuring web browsers and e-mail programs, the author provides a guide to the principles and elementary mathematics underlying modern cryptography, giving readers a look under the hood for security techniques and the reasons they are thought to be secure.

    • Intended as a gentle introduction to the principles and elementary mathematics underlying modern cryptography, accessible to undergraduates and graduate students alike
    • Presents a look under the hood, examining security techniques and the reasons they are thought to be secure

    Product details

    March 2014
    Paperback
    9781107603455
    186 pages
    228 × 152 × 15 mm
    0.3kg
    72 b/w illus.
    Available

    Table of Contents

    • 1. Introduction
    • 2. Modular arithmetic
    • 3. The addition cypher, an insecure block cypher
    • 4. Functions
    • 5. Probability theory
    • 6. Perfect secrecy and perfectly secure cryptosystems
    • 7. Number theory
    • 8. Euclid's algorithm
    • 9. Some uses of perfect secrecy
    • 10. Computational problems, easy and hard
    • 11. Modular exponentiation, modular logarithm, and one-way functions
    • 12. Diffie and Hellman's exponential-key-agreement protocol
    • 13. Computationally secure single-key cryptosystems
    • 14. Public-key cryptosystems and digital signatures.