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Published in:
Classical Ciphers and Their Cryptanalysis Read chapter Read first chapter

2013 | OriginalPaper | Chapter

7. Introduction to Public-Key Cryptography: The Diffie–Hellman Protocol

Author : José Luis Gómez Pardo

Published in: Introduction to Cryptography with Maple

Publisher: Springer Berlin Heidelberg

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Abstract

The private-key encryption schemes studied in the preceding chapters have some drawbacks when used in the context of modern communication networks. The main inconvenience is that, when using such a scheme, the communicating parties need a secure channel to exchange the secret key. In this chapter we present an introduction to the ideas underlying public-key cryptography, which removes this inconvenience. We illustrate some of these ideas with the very first public-key protocol, namely, the Diffie-Hellman key agreement.

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previous chapter Algorithmic Number Theory for Cryptography and Cryptanalysis: Primality, Factoring and Discrete Logarithms
next chapter Public-Key Encryption
Footnotes
1
Here and in what follows we use the generic notation to indicate an exponentiation in the group \(\mathbb Z _p^*\) but if we want to be specific and the elements of the group are viewed as integers, then this is really \(u = g^x \;{\text{ mod}} \;{p}\).
 
Metadata
Title
Introduction to Public-Key Cryptography: The Diffie–Hellman Protocol
Author
José Luis Gómez Pardo
Copyright Year
2013
Publisher
Springer Berlin Heidelberg
Book
Introduction to Cryptography with Maple

Print ISBN: 978-3-642-32165-8

Electronic ISBN: 978-3-642-32166-5

Copyright Year: 2013

DOI
https://doi.org/10.1007/978-3-642-32166-5_7

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