Short Undeniable Signatures Without Random Oracles: the Missing Link
Abstract
We introduce a new undeniable signature scheme which is existentially unforgeable and invisible under chosen message attacks without using any random oracle. The scheme is a simple embedding of Boneh and Boyen's recent short signature scheme in a group where the decisional Diffie-Hellman problem is assumed to be difficult. The invisibility of our scheme relies on a decisional variant of the strong Diffie-Hellman assumption, while its unforgeability relies on the strong Diffie-Hellman assumption.
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