Server-aided batch verification signature schemes in the multiple-signer setting

摘要

Server-aided verification (SAV) signature schemes are useful for power-constrained devices since a powerful server can assist in performing costly operations such as pairing operations. Wu et al. defined security notions for SAV signature schemes and constructed SAV protocols for some existing signature schemes. We extend their work by introducing a new notion called server-aided batch verification (SABV) signature schemes, which allows signatures on (possibly) different messages by (possibly) different signers to be simultaneously verified with the help of an honest server. Then, we define completeness, soundness, and existential unforgeability for SABV signature schemes in the multiple-signer setting. In the following, we design SABV protocols for Waters signature and Boneh–Lynn–Shacham signature, respectively, and prove that these protocols meet the requirement of soundness defined in this paper. Finally, we evaluate the performance of the proposed SABV protocols to show that the cost of a verifier can be further reduced compared with the corresponding SAV protocols presented by Wu et al. Copyright © 2013 John Wiley & Sons, Ltd.