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Published in:
2006 | OriginalPaper | Chapter
Cryptanalysis of an Efficient Proof of Knowledge of Discrete Logarithm
Authors : Sébastien Kunz-Jacques, Gwenaëlle Martinet, Guillaume Poupard, Jacques Stern
Published in: Public Key Cryptography - PKC 2006
Publisher: Springer Berlin Heidelberg
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At PKC 2005, Bangerter, Camenisch and Maurer proposed an efficient protocol to prove knowledge of discrete logarithms in groups of unknown order. We describe an attack that enables the verifier to recover the full secret with essentially no computing power beyond what is required to run the protocol and after only a few iterations of it. We also describe variants of the attack that apply when some additional simple checks are performed by the prover.