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

Cryptography and Security 2010-08-02 v4 Computational Complexity

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.

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Cite

@article{arxiv.cs/0505082,
  title  = {Fast generators for the Diffie-Hellman key agreement protocol and malicious standards},
  author = {Boaz Tsaban},
  journal= {arXiv preprint arXiv:cs/0505082},
  year   = {2010}
}

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