[Resource Topic] 2012/288: Fair Exchange of Short Signatures without Trusted Third Party

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Title:
Fair Exchange of Short Signatures without Trusted Third Party

Authors: Philippe Camacho

Abstract:

We propose a protocol to exchange Boneh-Boyen short signatures in a fair way, without relying on a trusted third party. Our protocol is quite practical and is the first of the sort to the best of our knowledge. Our construction uses a new non-interactive zero-knowledge (NIZK) argument to prove that a commitment is the encryption of a bit vector. We also design a NIZK argument to prove that a commitment toa bit vector v=(b_1,b_2,...,b_\secparam) is such that \sum_{i \in [\secparam]}b_i2^{i-1}=\Blinding where \Blinding is the discrete logarithm of some public value D=g^\Blinding. These arguments may be of independent interest.

ePrint: https://eprint.iacr.org/2012/288

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