Cryptology ePrint Archive: Report 2002/118

Efficient threshold signature, multisignature and blind signature schemes based on the Gap-Diffie-Hellman-group signature scheme

Alexandra Boldyreva

Abstract: We propose a robust proactive threshold signature scheme, a multisignature scheme and a blind signature scheme which work in any Gap Diffie-Hellman (GDH) group (where the Computational Diffie-Hellman problem is hard but the Decisional Diffie-Hellman problem is easy). Our constructions are based on the recently proposed GDH signature scheme of Boneh et al. \cite{bls}. Due to the instrumental structure of GDH groups and of the base scheme, it turns out that most of our constructions are simpler, more efficient and have more useful properties than similar existing constructions. We support all the proposed schemes with proofs under the appropriate computational assumptions, using the corresponding notions of security.

Category / Keywords: cryptographic protocols / Digital signatures, threshold signatures, multisignatures, blind signatures, GDH groups

Date: received 12 Aug 2002

Contact author: aboldyre at cs ucsd edu

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Version: 20020813:180708 (All versions of this report)

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