[Resource Topic] 2005/231: Fast generators for the Diffie-Hellman key agreement protocol and malicious standards

Welcome to the resource topic for 2005/231

Title:
Fast generators for the Diffie-Hellman key agreement protocol and malicious standards

Authors: Boaz Tsaban

Abstract:

The Diffie-Hellman key agreement protocol is based on taking
large powers of a generator of a prime-order cyclic group.
Some generators allow faster exponentiation.
We show that to a large extent, using the fast generators is
as secure as using a randomly chosen generator. On the
other hand, we show that if there is some case in which fast generators are
less secure, then this could be used by a malicious
authority to generate a standard for the Diffie-Hellman key agreement protocol
which has a hidden trapdoor.

ePrint: https://eprint.iacr.org/2005/231

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