Semiring-based models for secure data aggregation
*Hafiz Munaam Hussain TariqCorresponding authormunaamhussaintariq@hotmail.comDepartment of Computer Science and Information TechnologyNED University of Engineering and TechnologyKarachi, 75330, PakistanView full profile → , Tahreem Khantahreem.tariq92@gmail.comDepartment of Computer Science and Information TechnologyNED University of Engineering and TechnologyKarachi, 75330, PakistanView full profile → , Afreen Rahmat Khatoona.rkhatoon15@gmail.comDepartment of Electronics & Communication EngineeringUniversity College of EngineeringOsmania UniversityHyderabad, Telangana, 500007, IndiaView full profile → , Mohammed Wahed Ali Khanmdwahedalikhan@gmail.comDepartment of CybersecurityVersos - Unleash the FutureRiyadh, 11353, Kingdom of Saudi ArabiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 01 Apr 2026
- Published Online:
- 31 Oct 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDMSC-3030
- Pages:
- 4045–4054
Abstract
In distributed systems like the Internet of Things (IoT), wireless sensor networks, and cloud-based systems, secure data aggregation is essential as the integrity of data, its confidentiality, and efficiency have to be ensured at once. The mathematical framework of secure data aggregation as proposed in this paper is a semiring with the algebraic property of closure, associativity and distributives to enable robust aggregation mechanisms. The methodology translates semiring operations to additive and multiplicative aggregation functions, allowing an easy and secure way of computing with encrypted or partially masked data. The semiring structures are used to design a novel aggregation algorithm that guarantees consistency, scalability, and inference and tampering of data resistance. Experimental analysis shows a higher accuracy of aggregation of 96.8% and lower computation costs in comparison with traditional algorithms. The findings shed light on the usefulness of semiring-based models towards obtaining secure, efficient and scalable data aggregation in heterogeneous distributed environments.
Keywords
Subject Classifications
References
[1] C. Liu and J. Ye, “A secure data aggregation algorithm based on a trust mechanism,” Sensors, vol. 24, no. 13, Art. no. 4352 (2024), doi: 10.3390/s24134352.
[2] S. K. Erskine, “Secure data aggregation using authentication and authorization for privacy preservation in wireless sensor networks,” Sensors, vol. 24, no. 7, Art. no. 2090 (2024), doi: 10.3390/s24072090.
[3] Y. Fu, Y. Ren, G. Feng, X. Zhang, and C. Qin, “Non-interactive and secure data aggregation scheme for Internet of Things,” Electronics, vol. 10, no. 20, Art. no. 2464 (2021), doi: 10.3390/electronics10202464.
[4] H. Hongbin and Z. Zhi, “Privacy-preserving data aggregation scheme based on federated learning for IIoT,” Mathematics, vol. 11, no. 1, Art. no. 214 (2023), doi: 10.3390/math11010214.
[5] X. Liu, S. Chen, and Z. Xu, “Privacy-preserving data aggregation mechanisms in mobile crowdsensing driven by edge intelligence,” Electronics, vol. 15, no. 1, Art. no. 26 (2026), doi: 10.3390/electronics15010026.
[6] D. Pereira, P. R. Reis, and F. Borges, “Secure aggregation protocol based on DC-Nets and secret sharing for decentralized federated learning,” Sensors, vol. 24, no. 4, Art. no. 1299 (2024), doi: 10.3390/s24041299.
[7] H. M. Khan, F. Jabeen, A. Khan, M. Waqar, and A. Kim, “IoT-enabled fog-based secure aggregation in smart grids supporting data analytics,” Sensors, vol. 25, no. 19, Art. no. 6240 (2025), doi: 10.3390/s25196240.
[8] N. B. Pokale, P. Paul, Y. Sood, V. Kumar, N. Vairaperumal, and V. K. Vijaya, “Exploring the integration of discrete mathematics and applied algebra in designing robust network architectures for IoT,” Journal of Discrete Mathematical Sciences and Cryptography, vol. 29, no. 2-B, pp. 877–884 (2026), doi: 10.47974/JDMSC-2538.
[9] B. Liu and Q. Tang, “Secure data sharing in federated learning through blockchain-based aggregation,” Future Internet, vol. 16, no. 4, Art. no. 133 (2024), doi: 10.3390/fi16040133.
[10] U. Bhardwaj, M. Renukhadevi, P. V. Meghare, G. Chavan, S. Ikhar, and A. Suneetha, “Stochastic differential equations in modeling gene regulatory networks,” Journal of Interdisciplinary Mathematics, vol. 28, no. 6, pp. 2171–2179 (2025), doi: 10.47974/JIM-2358.
[11] Q. Gao, Y. Sun, X. Chen, F. Yang, and Y. Wang, “An efficient multi-party secure aggregation method based on multi-homomorphic attributes,” Electronics, vol. 13, no. 4, Art. no. 671 (2024), doi: 10.3390/electronics13040671.
[12] R. C. Poonia, T. Singh, C. K. Rajashri, D. Mondal, and S. M. Patil, “Optimizing communication system security through comprehensive testing and intelligent network configurations,” Journal of Information and Optimization Sciences, vol. 47, no. 5-A, pp. 1709–1717 (2026), doi: 10.47974/JIOS-2261.




