Short structure-preserving signatures

Ghadafi, Essam

Abstract

© Springer International Publishing Switzerland 2016. We construct a new structure-preserving signature scheme in the efficient Type-III asymmetric bilinear group setting with signatures shorter than all existing schemes. Our signatures consist of 3 group elements from the first source group and therefore they are shorter than those of existing schemes as existing ones have at least one component in the second source group whose elements bit size is at least double that of their first group counterparts. Besides enjoying short signatures, our scheme is fully re-randomizable which is a useful property for many applications. Our result also consti- tutes a proof that the impossibility of unilateral structure-preserving signatures in the Type-III setting result of Abe et al. (Crypto 2011) does not apply to constructions in which the message space is dual in both source groups. Besides checking the well-formedness of the message, verifying a signature in our scheme requires checking 2 Pairing Product Equations (PPE) and require the evaluation of only 5 pairings in total which matches the best existing scheme and outperforms many other existing ones. We give some examples of how using our scheme instead of existing ones improves the efficiency of some existing cryptographic pro- tocols such as direct anonymous attestation and group signature related constructions.

• Presentation Conference Type: Conference Paper (published)
• Acceptance Date: Feb 2, 2016
• Publication Date: Jan 1, 2016
• Deposit Date: Mar 24, 2017
• Publicly Available Date: Mar 24, 2017
• Journal: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
• Print ISSN: 0302-9743
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 9610
• Pages: 305-321
• Book Title: Topics in Cryptology - CT-RSA 2016
• DOI: https://doi.org/10.1007/978-3-319-29485-8_18
• Keywords: structure-preserving, digital signatures, bilinear groups
• Public URL: https://uwe-repository.worktribe.com/output/914267
• Publisher URL: http://dx.doi.org/10.1007/978-3-319-29485-8_18
• Additional Information: Additional Information : The final publication is available at Springer via http://dx.doi.org/10.1007/978-3-319-29485-8_18
• Contract Date: Mar 24, 2017