Fast generators for the Diffie-Hellman key agreement protocol and malicious standards |
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Authors: | Boaz Tsaban |
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Affiliation: | Department of Mathematics, The Weizmann Institute of Science, Rehovot 76100, Israel |
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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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Keywords: | Diffie-Hellman problem Discrete logarithm problem Fast generators Trapdoor Cryptography |
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