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

Addressing quantum threats to cryptographic security systems with advanced quantum-resistant algorithms

, , * , , ,

* Corresponding author · click or hover a name for details

pp. 839–847Vol. 29Issue 2-BFebruary 2026DOI: 10.47974/JDMSC-2534 Crossmark XML
Received:
09 Apr 2025
Published Online:
31 Dec 2025
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-2534
Pages:
839–847

Abstract

The fact that modern cryptographic systems are susceptible to a significant attack from quantum computing which solves complex mathematical problem exponentially faster than the classical scheme of computers makes the present situation a dangerous one. Legacy encryption methods including RSA, ECC, and AES that are the heart of secure communication are especially susceptible to quantum attacks such as Shor’s and Grover’s algorithms. To mitigate this potential threat, this research puts forth state of the art quantum-resistant technologies inclusive of lattice based cryptography and hash based signature solutions. The Lattice-Hash Hybrid method that is proposed, improves security by exploiting the computational intractability of lattice problems and the collision resistance of the hash functions, making it very hard to crack the system using quantum decryption algorithms. In the study, a comparative analysis of the proposed method with traditional lattice-based, hash-based and code-based cryptographic methods is performed. Experimental results suggest that the proposed algorithm features better encryption speed, decreased decryption latency, and increased security level as compared with the current state of the art. The results emphasize the need for the implementation of cutting edge electronic cryptography strategies to protect integrity and confidentiality of data in the days to come within the context of quantum computing. Further research will concentrate on optimizing the proposed techniques further and bringing them to real-world deployment.

Keywords

Subject Classifications

Primary 93A30Secondary 49K15

References

[1] P. Radanliev, “Artificial intelligence and quantum cryptography,” J. Anal. Sci. Technol., vol. 15, no. 1, pp. 4 (2024).
[2] Y. Baseri, V. Chouhan, A. Ghorbani, and A. Chow, “Evaluation framework for quantum security risk assessment: A comprehensive strategy for quantum-safe transition,” Comput. Secur., vol. 150, pp. 104272 (2025).
[3] A. Dooms and C. Emerencia, “Efficient quantum algorithms to break group ring cryptosystems,” J. Inf. Secur. Appl., vol. 88, pp. 103923 (2025).
[4] A. K. Kwala, S. Kant, and A. Mishra, “Comparative analysis of lattice-based cryptographic schemes for secure IoT communications,” Discov. Internet Things, vol. 4, no. 1, pp. 13 (2024).
[5] S. Lu, J. Zheng, Z. Cao, Y. Wang, and C. Gu, “A survey on cryptographic techniques for protecting big data security: Present and forthcoming,” Sci. China Inf. Sci., vol. 65, no. 10, pp. 201301 (2022).
[6] S. Pandey and B. Bhushan, “Recent lightweight cryptography (LWC) based security advances for resource-constrained IoT networks,” Wirel. Netw., vol. 30, no. 4, pp. 2987–3026 (2024).
[7] G. M. Upadhyay, P. Rashmi, M. Joshi, M. Narula, P. Vats, and P. K. Soni, “Data security challenges and its solutions in cloud computing through quantum resistant advanced encryption standards,” Journal of Discrete Mathematical Sciences and Cryptography, vol. 27, no. 4, pp. 1151–1160 (2024), doi: 10.47974/JDMSC-1970.
[8] V. Saraf and V. Pachghare, “Security threats and mitigation techniques affecting trust computation in cloud computing,” J. Discrete Math. Sci. Cryptogr., vol. 27, no. 4, pp. 1161–1172 (2024).
[9] N. K. Parida, C. Jatoth, and V. D. Reddy, “Post-quantum distributed ledger technology: A systematic survey,” Sci. Rep., vol. 13, no. 1, p. 20729 (2023).
[10] R. K. Sharma and P. R. Chelliah, “Chapter Four - Quantum cryptographic algorithms for secure IoT and blockchain ledgers,” in Post-Quantum Cryptography Algorithms and Approaches for IoT and Blockchain Security, vol. 138, P. Raj, K. Saini, and B. B. Gupta, Eds. Elsevier, pp. 71–109 (2025).
[11] A. Kumar, P. Dadheech, V. Singh, L. Raja, and R. C. Poonia, “An enhanced quantum key distribution protocol for security authentication,” Journal of Discrete Mathematical Sciences and Cryptography, vol. 22, no. 4, pp. 499–507 (2019).
[12] A. Wicaksana, “A survey on quantum-safe blockchain security infrastructure,” Comput. Sci. Rev., vol. 57, pp. 100752 (2025).
[13] M. Bertaccini, “Cryptography Algorithms,” (2022). [Online]. Available: https://www.kaggle.com/datasets/abhirampagilla/cryptography-algorithms. 

Views: 241Downloads: 145Citations: 0