Twin-Schnorr: A Security Upgrade for the Schnorr Identity-Based Identification Scheme

Author:

Chin Ji-Jian1ORCID,Tan Syh-Yuan2ORCID,Heng Swee-Huay2,Phan Raphael Chung-Wei1

Affiliation:

1. Faculty of Engineering, Multimedia University, 63000 Cyberjaya, Selangor, Malaysia

2. Faculty of Information Science and Technology, Multimedia University, 75450 Melaka, Malaysia

Abstract

Most identity-based identification (IBI) schemes proposed in recent literature are built using pairing operations. This decreases efficiency due to the high operation costs of pairings. Furthermore, most of these IBI schemes are proven to be secure against impersonation under active and concurrent attacks using interactive assumptions such as the one-more RSA inversion assumption or the one-more discrete logarithm assumption, translating to weaker security guarantees due to the interactive nature of these assumptions. The Schnorr-IBI scheme was first proposed through the Kurosawa-Heng transformation from the Schnorr signature. It remains one of the fastest yet most secure IBI schemes under impersonation against passive attacks due to its pairing-free design. However, when required to be secure against impersonators under active and concurrent attacks, it deteriorates greatly in terms of efficiency due to the protocol having to be repeated multiple times. In this paper, we upgrade the Schnorr-IBI scheme to be secure against impersonation under active and concurrent attacks using only the classical discrete logarithm assumption. This translates to a higher degree of security guarantee with only some minor increments in operational costs. Furthermore, because the scheme operates without pairings, it still retains its efficiency and superiority when compared to other pairing-based IBI schemes.

Funder

Ministry of Education of the Government of Malaysia

Publisher

Hindawi Limited

Subject

General Environmental Science,General Biochemistry, Genetics and Molecular Biology,General Medicine

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1. New Identity-Based Identification and Signature Schemes in the Standard Model;Proceedings of the 18th International Conference on Availability, Reliability and Security;2023-08-29

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