Malaysian Journal of Mathematical Sciences, December 2021, Vol. 15(S)
Special Topics: New Ideas in Cryptology
Group Identity-Based Identification: Definitions, Construction and Implementation
Vangujar, A. K., Ng, T. S., Chia, J., Chin, J. J., and Yip, S. C.
Corresponding Email: apurva710@gmail.com
Received date: 29 October 2020
Accepted date: 5 July 2021
Abstract:
As an extension of identification schemes in multiparty setting, we propose the first definitions and construction for a Group Identity-Based Identification (Group-IBI) scheme. The Group-IBI involves a group manager $(\mathcal{GM})$ that is in charge of a specific group, which in turn manages several group members. The $\mathcal{GM}$'s role is not only to control the registration and revocation of the members, but also to perform an identification protocol with a verifier as a whole entity, i.e., a group. The Group-IBI scheme that we proposed is potentially suitable for numerous real-world online applications such as e-shopping, e-banking, and e-voting where consensus of all members of a group is required to be derived before proceeding with authentication. In this paper, we propose the first definitions and security models for Group-IBI. We also show the first provable-secure construction that is pairing free by using the Schnorr identity-based identification (IBI) and Schnorr signature.
Keywords: multiparty schemes; identity-based identification scheme; provable security
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