Efficient Identity-Based Universal Designated Verifier Signature Proof Systems

Yifan Yang, Xiaotong Zhou, Binting Su () and Wei Wu
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Yifan Yang: College of Computer and Cyber Security, Fujian Normal University, Fuzhou 350117, China
Xiaotong Zhou: School of Cyber Science and Engineering, Wuhan University, Wuhan 430072, China
Binting Su: Network and Data Center, Fujian Normal University, Fuzhou 350117, China
Wei Wu: College of Education Sciences, Hong Kong University of Science and Technology (Guangzhou), Guangzhou 511455, China

Mathematics, 2025, vol. 13, issue 5, 1-14

Abstract: The implementation of universal designated verifier signatures proofs (UDVSPs) enhances data privacy and security in various digital communication systems. However, practical applications of UDVSP face challenges such as high computational overhead, onerous certificate management, and complex public key initialization. These issues hinder UDVSP adoption in daily life. To address these limitations, existing solutions attempt to eliminate bilinear pairing operations, but their proposal still involves cumbersome certificate management and inherent interactive operations that can sometimes significantly degrade system efficiency. In this paper, we first utilize the identity-based (ID-based) SM2 digital signature scheme to construct an ID-based UDVSP system which sidesteps the cumbersome certificate management issue. To further remove the interactive requirement, we also employ the OR proof and Fiat–Shamir technologies to design the other ID-based UDVSP system. Our designs not only possess the same bilinear pairing-free advantage as Lin et al.’s proposal, but also achieve the certificate-free or non-interactive goals. Security proofs and performance analysis confirm the viability and efficiency of our systems.

Keywords: UDVSP; ID-based SM2 digital signature; non-interactive proof; certificate management (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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