New efficient batch verification for an identity‐based signature scheme

摘要

Batch verification is a method to verify multiple digital signatures at a batch in time less than total individual verification time. Batch verification for an identity‐based signature scheme (IBS) is attractive because a short public identity such as an e‐mail address can be used as a verification key. In this paper, we first review the recent IBS scheme proposed by Shim and its batch verifier to show that the batch verifier is vulnerable to a forgery attack. In order to resist to the attack, we propose a new efficient batch verifier for the IBS scheme. The proposed batch verifier can deal with arbitrary number of signatures as a batch. We prove formally that the proposed batch verifier is secure. Then, we analyze the computation cost of the proposed batch verifier using concrete parameters and compare it with well‐known batch verifiers. The comparison shows that our batch verifier can significantly outperform the existing batch verifiers in computation. We finally present a one‐round three‐party identity‐based key agreement protocol as an application of our batch verifier, which requires only three pairing operations in verification. Copyright ? 2015 John Wiley & Sons, Ltd. We propose a new efficient batch verifier for an identity‐based signature (IBS) scheme. We also prove formally that the proposed batch verifier is secure. Then, we analyze the computation cost of the proposed batch verifier using concrete parameters and compare it with well‐known batch verifiers. The comparison shows that our batch verifier can significantly outperform the existing batch verifiers of IBS schemes in terms of computation.