Paper 2009/320
Automorphic Signatures in Bilinear Groups and an Application to Round-Optimal Blind Signatures
Georg Fuchsbauer
Abstract
We introduce the notion of automorphic signatures, which satisfy the following properties: the verification keys lie in the message space, messages and signatures consist of elements of a bilinear group, and verification is done by evaluating a set of pairing-product equations. These signatures make a perfect counterpart to the powerful proof system by Groth and Sahai (Eurocrypt 2008). We provide practical instantiations of automorphic signatures under appropriate assumptions and use them to construct the first efficient round-optimal blind signatures. By combining them with Groth-Sahai proofs, we moreover give practical instantiations of various other cryptographic primitives, such as fully-secure group signatures, non-interactive anonymous credentials and anonymous proxy signatures. To do so, we show how to transform signature schemes whose message space is a group to a scheme that signs arbitrarily many messages at once.
Note: The pdf file was not updated in the last revision.
Metadata
- Available format(s)
-
PDF
PS
- Category
- Public-key cryptography
- Publication info
- Published elsewhere. Unknown where it was published
- Keywords
- anonymitydigital signaturesblind signatureselliptic curve cryptosystem
- Contact author(s)
- fuchsbau @ di ens fr
- History
- 2010-03-17: last of 5 revisions
- 2009-07-01: received
- See all versions
- Short URL
- https://ia.cr/2009/320
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2009/320,
author = {Georg Fuchsbauer},
title = {Automorphic Signatures in Bilinear Groups and an Application to Round-Optimal Blind Signatures},
howpublished = {Cryptology {ePrint} Archive, Paper 2009/320},
year = {2009},
url = {https://eprint.iacr.org/2009/320}
}
