Abstract
We give a series of three identification schemes. All of them are basically 2-round interactive proofs of ability to complete Diffie-Hellman tuples. Despite their simple protocols, the second and the third schemes are proven secure against concurrent man-in-the-middle attacks based on tight reduction to the Gap Computational Diffie-Hellman Assumption without the random oracle. In addition, they are more efficient than challenge-and-response 2-round identification schemes from previously known EUF-CMA signature schemes in the standard model.
Our first scheme is similar to half the operation of Diffie-Hellman Key-Exchange. The first scheme is secure only against two-phase attacks based on strong assumptions. Applying the tag framework, and employing a strong one-time signature for the third scheme, we get the preferable schemes above.
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Anada, H., Arita, S. (2010). Identification Schemes of Proofs of Ability Secure against Concurrent Man-in-the-Middle Attacks. In: Heng, SH., Kurosawa, K. (eds) Provable Security. ProvSec 2010. Lecture Notes in Computer Science, vol 6402. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16280-0_2
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