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Published in:
2006 | OriginalPaper | Chapter
Compact Group Signatures Without Random Oracles
Authors : Xavier Boyen, Brent Waters
Published in: Advances in Cryptology - EUROCRYPT 2006
Publisher: Springer Berlin Heidelberg
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We present the first efficient group signature scheme that is provably secure without random oracles. We achieve this result by combining provably secure hierarchical signatures in bilinear groups with a novel adaptation of the recent Non-Interactive Zero Knowledge proofs of Groth, Ostrovsky, and Sahai. The size of signatures in our scheme is logarithmic in the number of signers; we prove it secure under the Computational Diffie-Hellman and the Subgroup Decision assumptions in the model of Bellare, Micciancio, and Warinshi, as relaxed by Boneh, Boyen, and Shacham.