Paper 2008/538 Original: eprint.iacr.org/2008/538 ↗
Supporting Non-membership Proofs with Bilinear-map Accumulators
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.
Metadata
- Available format(s)
PDF- Category
- Public-key cryptography
- Publication info
- Preprint.
- History
- 2008-12-28: last updated
- 2008-12-28: published
- Short URL
- https://ia.cr/2008/538
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2008/538,
author = {Ivan Damgård and Nikos Triandopoulos},
title = {Supporting Non-membership Proofs with Bilinear-map Accumulators},
howpublished = {Cryptology {ePrint} Archive, Paper 2008/538},
year = {2008},
url = {https://eprint.iacr.org/2008/538}
}