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Short Undeniable Signatures Without Random Oracles: the Missing Link

Fabien Laguillaumie 1 Damien Vergnaud 2
1 TANC - Algorithmic number theory for cryptology
Inria Saclay - Ile de France, LIX - Laboratoire d'informatique de l'École polytechnique [Palaiseau]
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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Submitted on : Saturday, February 18, 2006 - 2:47:27 PM
Last modification on : Monday, April 27, 2020 - 4:14:03 PM
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Fabien Laguillaumie, Damien Vergnaud. Short Undeniable Signatures Without Random Oracles: the Missing Link. Indocrypt 2005, Dec 2005, Bangalore, India. ⟨inria-00001122⟩

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