Cryptology ePrint Archive: Report 2008/538

Supporting Non-membership Proofs with Bilinear-map Accumulators

Ivan Damgård and 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.

Category / Keywords: public-key cryptography / accumulators, non-membership proofs

Date: received 22 Dec 2008, last revised 22 Dec 2008

Contact author: nikos at cs au dk

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Version: 20081228:085934 (All versions of this report)

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