Open AccessOpen Access


An Efficient and Provably Secure SM2 Key-Insulated Signature Scheme for Industrial Internet of Things

Senshan Ouyang1,2, Xiang Liu2, Lei Liu2, Shangchao Wang2, Baichuan Shao3, Yang Zhao3,*

1 School of Mechanical Engineering, Northwestern Polytechnical University, Xi’an, China
2 Department of Process and Information Technology, Chengdu Aircraft Industrial (Group) Co., Ltd., Chengdu, China
3 School of Information and Software Engineering, The Network and Data Security Key Laboratory of Sichuan Province, University of Electronic Science and Technology of China, Chengdu, China

* Corresponding Author: Yang Zhao. Email:

(This article belongs to this Special Issue: Information Security Practice and Experience: Advances and Challenges)

Computer Modeling in Engineering & Sciences 2024, 138(1), 903-915.


With the continuous expansion of the Industrial Internet of Things (IIoT), more and more organisations are placing large amounts of data in the cloud to reduce overheads. However, the channel between cloud servers and smart equipment is not trustworthy, so the issue of data authenticity needs to be addressed. The SM2 digital signature algorithm can provide an authentication mechanism for data to solve such problems. Unfortunately, it still suffers from the problem of key exposure. In order to address this concern, this study first introduces a key-insulated scheme, SM2-KI-SIGN, based on the SM2 algorithm. This scheme boasts strong key insulation and secure key-updates. Our scheme uses the elliptic curve algorithm, which is not only more efficient but also more suitable for IIoT-cloud environments. Finally, the security proof of SM2-KI-SIGN is given under the Elliptic Curve Discrete Logarithm (ECDL) assumption in the random oracle.


Cite This Article

Ouyang, S., Liu, X., Liu, L., Wang, S., Shao, B. et al. (2024). An Efficient and Provably Secure SM2 Key-Insulated Signature Scheme for Industrial Internet of Things. CMES-Computer Modeling in Engineering & Sciences, 138(1), 903–915.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
  • 39


  • 28


  • 0


Share Link