Cryptanalysis and improvement of an ID-based ad-hoc anonymous identification

An ad-hoc anonymous identification scheme is a new multiuser cryptographic primitive that allows participants from a user population to form ad hoc groups, and then prove membership anonymously in such groups. Recently, Nguyen [11] proposed an ID-based ad-hoc anonymous identification scheme from bilinear pairings. However, in this paper, we propose an attack on Nguyen’s ID-based ad-hoc anonymous identification scheme. We show that any one can impersonate a valid group member to perform the anonymous identification protocol successfully. Furthermore, we propose a solution to improve this scheme against our attack.