Application of advanced algebraic structures in cryptography to improve security protocols in decentralized network systems

Kumar, Vipan; Dasarwar, Priya B.; Bhan, Suraj; Ali, Jahid; Swarnkar, Suman Kumar; Yadav, Anita

doi:10.47974/JDMSC-2537

Open Access Research Article

Application of advanced algebraic structures in cryptography to improve security protocols in decentralized network systems

Vipan Kumarer.vipingupta14@gmail.comDepartment of Electronics and Communication Engineering Sri Sai College of Engineering and Technology BadhaniPathankot, Punjab, 145001, IndiaView full profile → , ^*Priya B. DasarwarCorresponding authorpriya.dasarwar@sitnagpur.siu.edu.inDepartment of Computer Science and Engineering Symbiosis Institute of Technology Nagpur Campus Symbiosis International (Deemed University)Nagpur, Maharashtra, 440008, IndiaView full profile → , Suraj Bhansuraj.bhan@niu.edu.inSchool of Engineering & Technology Noida International UniversityGreater Noida, Uttar Pradesh, 203201, IndiaView full profile → , Jahid Alizahidsabri@rediffmail.comDepartment of Computer Applications Sri Sai UniversityPalampur, Himachal Pradesh, 176081, IndiaView full profile → , Suman Kumar Swarnkarsumanswarnkar17@gmail.comDepartment of Computer Science and Engineering Shri Shankaracharya Institute of Professional Management and TechnologyRaipur, Chhattisgarh, 492015, IndiaView full profile → , Anita Yadavanitayadav23@gmail.comDepartment of Information Technology Tulsiramji Gaikwad-Patil College of Engineering and TechnologyNagpur, Maharashtra, 441108, IndiaView full profile →

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pp. 867–876Vol. 29Issue 2-BFebruary 2026DOI: 10.47974/JDMSC-2537 Crossmark XML

Received:: 14 May 2025
Published Online:: 16 Feb 2026
Article type:: Research Article
Language:: EN
Article no.:: JDMSC-2537
Pages:: 867–876

Abstract

Such decentralized network systems as blockchain and peer-to-peer networks have become more and more essential for secure data transmission and management. However, conventional cryptographic protocols such as RSA and ECC sometimes are struggling to provide strong security against emerging threats, especially in a decentralized setting. This research fills the gap by presenting an upgraded cryptographic protocol based on non-abelian group theory and quasigroup structures to increase data security. The proposed model referred to as the Hybrid Algebraic Cryptographic Protocol (HACP) is a combination of non-commutative algebraic structures used to protect key exchanges, and data transmission. Experimental analysis confirms that HACP is faster than traditional RSA and ECC for encryption, lower in latency for decryption, requires less time on key generation, and has higher security than traditional RSA and ECC.

Keywords

Decentralized networks Cryptographic protocols Non-abelian groups Network security

Subject Classifications

Primary 93A30Secondary 49K15

References

[1] S. Bhattacharya and M. Pandey, “Deploying an energy efficient, secure & high-speed sidechain-based TinyML model for soil quality monitoring and management in agriculture,” Expert Syst. Appl., vol. 242, no. May 2024, pp. 122735 (2024).
[2] J. Zhao, Y. Zhang, J. Jiang, Z. Hua, and Y. Xiang, “A secure dynamic cross-chain decentralized data consistency verification model,” J. King Saud Univ. - Comput. Inf. Sci., vol. 36, no. 1, pp. 101897 (2024).
[3] A. Kuznetsov, D. Ivanenko, N. Poluyanenko, and T. Kuznetsova, “Cryptographic Transformations in a Decentralized Blockchain Environment,” in Information Security Technologies in the Decentralized Distributed Networks, R. Oliynykov, O. Kuznetsov, O. Lemeshko, and T. Radivilova, Eds. Cham: Springer International Publishing, pp. 89–113 (2022).
[4] S. Sharma and B. Sharma, “Optimized data analysis through hybrid approach over trusted security environment,” J. Inf. Optim. Sci., vol. 44, no. 3, pp. 331–340 (2023).
[5] K. Chandran, S. Panda, and B. Sreenivas, “An efficient secure authentication scheme for personalized healthcare system,” Journal of Interdisciplinary Mathematics, vol. 23, no. 1, pp. 215–227 (2020).
[6] V. K. Pandey, N. Jain, and R. Raghavendra, “Examining Trusted Communication in Networked Systems Through Cryptographic Security Algorithms,” in 2024 Int. Conf. Optimization Comput. Wireless Commun. (ICOCWC), pp. 1–8. (2024)
[7] M. S. Khamalwa, “Exploring how Commutative Algebra Underpins Cryptographic Protocols and Encryption Methods Used in Secure Communications and Data Protection,” Newport Int. J. Sci. Exp. Sci., vol. 5, no. 3, pp. 58–62 (2024).
[8] 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).
[9] S. S. Dhanda, B. Singh, and P. Jindal, “Demystifying elliptic curve cryptography: Curve selection, implementation and countermeasures to attacks,” Journal of Interdisciplinary Mathematics, vol. 23, no. 2, pp. 463–470 (2020).
[10] K. Chandran, S. Panda, and B. Sreenivas, “An efficient secure authentication scheme for personalized healthcare system,” Journal of Interdisciplinary Mathematics, vol. 23, no. 1, pp. 215–227 (2020).
[11] BigQuery, “Bitcoin Blockchain Historical Data,” Kaggle (2021). [Online]. Available: https://www.kaggle.com/datasets/jesusgraterol/bitcoin-blockchain-dataset

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