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Title:
Homomorphic Trapdoor Commitments to Group Elements
Authors: Jens Groth
Abstract:We present a homomorphic trapdoor commitment to group elements. In contrast, previous homomorphic trapdoor commitment schemes only allow the messages to be exponents. Our commitment scheme is length-reducing, we can make a short commitment to many group elements at once, and it is perfectly hiding and computationally binding. The construction is based on groups with a bilinear map and the binding property follows from the simultaneous triple pairing assumption. While the simultaneous triple pairing assumption is new, we demonstrate that it is implied by the well-known decision linear assumption.
ePrint: https://eprint.iacr.org/2009/007
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