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Optimistic fair exchange in a multi-user setting. (English) Zbl 1127.94345

Okamoto, Tatsuaki (ed.) et al., Public key cryptography – PKC 2007. 10th international conference on practice and theory in public-key cryptography, Beijing, China, April 16–20, 2007. Proceedings. Berlin: Springer (ISBN 978-3-540-71676-1/pbk). Lecture Notes in Computer Science 4450, 118-133 (2007).

Summary: This paper addresses the security of optimistic fair exchange in a multi-user setting. While the security of public key encryption and public key signature schemes in a single-user setting guarantees the security in a multi-user setting, we show that the situation is different in the optimistic fair exchange. First, we show how to break, in the multi-user setting, an optimistic fair exchange scheme provably secure in the single-user setting. This example separates the security of optimistic fair exchange between the single-user setting and the multi-user setting. We then define the formal security model of optimistic fair exchange in the multi-user setting, which is the first complete security model of optimistic fair exchange in the multi-user setting. We prove the existence of a generic construction meeting our multi-user security based on one-way functions in the random oracle model and trapdoor one-way permutations in the standard model. Finally, we revisit two well-known methodologies of optimistic fair exchange, which are based on the verifiably encrypted signature and the sequential two-party multisignature, respectively. Our result shows that these paradigms remain valid in the multi-user setting.
For the entire collection see [Zbl 1116.94001].


MSC:

94A62 Authentication, digital signatures and secret sharing