TARU PUBLICATIONS
Journal of Discrete Mathematical Sciences and Cryptography cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-0065·ISSN (Print): 0972-0529

Monthly Journal: Publishes theoretical and applied research in all areas of Discrete Mathematical Sciences, Cryptography, Combinatorics, Elliptic Curves and Information Security.

Issues up to 2022 co-published with and available at:Taylor & Francis Online
submissions@tarupublications.com
Open Access Research Article

Advanced combinatorial approaches for designing robust key distribution schemes in distributed cryptographic systems

, , , * , ,

* Corresponding author · click or hover a name for details

pp. 4637–4646Vol. 29Issue 10-COctober 2026DOI: 10.47974/JDMSC-3079 Crossmark XML
Received:
01 Apr 2026
Published Online:
31 Oct 2026
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-3079
Pages:
4637–4646

Abstract

Distributed cryptography has scalable and robust key distribution systems which are resource and adversarial bound. Some of the complex combinatorial constructions of powerful key distribution schemes with incidence relations and algebraic constructions are suggested in this article. The proposed structure allocates node-key with combinatorial designs, which ensure deterministic connectivity and are also limited by small key storage overhead. Lightweight key agreement protocol is an extension of common combinatorial structures that are used to ensure secure pairwise communication without unnecessary exposure. The scheme is experimented with various network scale and attack conditions, demonstrating that the resilience to node capture and compromise effects is reduced by 28.6% than random redistribution of keys. The connectivity reliability is improved by 19.3% and the storage efficiency reduced by 22.4%. Positive secrecy guarantees and scale are validated through analysis and simulations. One of the contributions is the coalescence of the combinatorics theory with the realistic distributed security demands to enable effective and robust cryptography implementation.

Keywords

Subject Classifications

11T7194A60

References

[1] J. Furtak, “The cryptographic key distribution system for IoT systems in the MQTT environment,” Sensors, vol. 23, no. 11, Art. no. 5102 (2023), doi: 10.3390/s23115102.

[2] F. Alshammari, L. Ong, and J. Y. Tan, “An optimal secure key distribution scheme for Internet of Things devices in multi-session network communications,” Electronics, vol. 13, no. 24, Art. no. 4951 (2024), doi: 10.3390/electronics13244951.

[3] J. Ni, G. Fang, Y. Zhao, J. Ren, L. Chen, and Y. Ren, “Distributed group key management based on blockchain,” Electronics, vol. 13, no. 11, Art. no. 2216 (2024), doi: 10.3390/electronics13112216.

[4] M. S. Prashanth, R. Aluvalu, V. U. Maheswari, S. Kiran, S. Narkedimilli, and P. R. Babu, “AI-driven cybersecurity for IoT networks: Enhancing threat detection and mitigation,” J. Inf. Optim. Sci., vol. 46, no. 6, pp. 1973–1981 (2025), doi: 10.47974/JIOS-2026.

[5] H. Goumidi, S. Harous, Z. Aliouat, and A. M. Gueroui, “Lightweight secure authentication and key distribution scheme for vehicular cloud computing,” Symmetry, vol. 13, no. 3, Art. no. 484 (2021), doi: 10.3390/sym13030484.

[6] H. Termos, “Quantum authentication evolution: Novel approaches for securing quantum key distribution,” Entropy, vol. 26, no. 6, Art. no. 447 (2024), doi: 10.3390/e26060447.

[7] S. Gupta, S. Sakshi, S. Kolay, M. Chulawala, P. Karekar, A. Shrivastava, and S. Sharma, “Urbanshield: Integrated vehicle security and road safety system for metropolitan city,” Int. J. Adv. Comput. Theory Eng., vol. 14, no. 1, pp. 107–118 (2025), doi: 10.65521/ijacte.v14i1.339.

[8] R. C. Poonia, R. Almakki, A. K. J. Saudagar, A. Altameem, and M. Albathan, “A detailed examination of LSTM networks for large-scale text generation with optimizing sequence models,” J. Inf. Optim. Sci., vol. 45, no. 5, pp. 1477–1486 (2024), doi: 10.47974/JIOS-1769.

[9] M. S. Abdalzaher, M. M. Fouda, A. Emran, Z. M. Fadlullah, and M. I. Ibrahem, “A survey on key management and authentication approaches in smart metering systems,” Energies, vol. 16, no. 5, Art. no. 2355 (2023), doi: 10.3390/en16052355.

[10] K. Woźniak, M. R. Ogiela, and L. Ogiela, “A two-phase embedding approach for secure distributed steganography,” Sensors, vol. 25, no. 5, Art. no. 1448 (2025), doi: 10.3390/s25051448.

[11] K. Rangappa, A. K. B. Ramaswamy, M. Prasad, and S. A. Kumar, “A novel method of secured data distribution using sharding ZKP and zero trust architecture in blockchain multi cloud environment,” Cryptography, vol. 8, no. 3, Art. no. 39 (2024), doi: 10.3390/cryptography8030039.

[12] M. Bakyt, L. La Spada, N. Zeeshan, K. Moldamurat, and S. Atanov, “Application of quantum key distribution to enhance data security in agrotechnical monitoring systems using UAVs,” Appl. Sci., vol. 15, no. 5, Art. no. 2429 (2025), doi: 10.3390/app15052429.

Views: 8Downloads: 8Citations: 0