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Title:
Supporting Non-membership Proofs with Bilinear-map Accumulators
Authors: Ivan Damgård, Nikos Triandopoulos
Abstract:In this short note, we present an extension of Nguyen’s bilinear-map based accumulator scheme to support \emph{non-membership witnesses} and corresponding \emph{non-membership proofs}, i.e., cryptographic proofs that an element has not been accumulated to a given set. This complements the non-membership proofs developed by Li \emph{et al.} for the RSA accumulator, making the functionality of the bilinear-map accumulator equivalent to that of the RSA accumulator. Our non-membership extension of Nguyen’s scheme makes use of the q-Strong Diffie-Hellman assumption the security of the original scheme is based on.
ePrint: https://eprint.iacr.org/2008/538
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