Fuzzy algebra-based cryptographic key generation models for secure communication systems
*Narahari DudikiCorresponding authorcsenarahari@gmail.comDepartment of Computer Science and EngineeringKKR & KSR Institute of Technology & SciencesGuntur, Andhra Pradesh, 522017, IndiaView full profile → , N. Manjunathannmanjunathan24@gmail.comDepartment of Computer Science and EngineeringVel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and TechnologyAvadi, Chennai, Tamil Nadu, 600062, IndiaView full profile → , Alahari Hanumat Prasadhanuma.alahari@gmail.comDepartment of Computer Science & Engineering (Artificial Intelligence & Data Science)Kallam Haranadhareddy Institute of TechnologyChowdavaram, Guntur, Andhra Pradesh, 522019, IndiaView full profile → , S. Revathirevathibals.s@gmail.comDepartment of Computer ScienceSRM Institute of Science & TechnologyKattankulathur, Chengalpattu, Tamil Nadu, 600089, IndiaView full profile → , R. N. Ravikumarrnravikumar.cse@gmail.comDepartment of Computer Science and EngineeringJain (Deemed-to-be University)Bangalore, Karnataka, 560069, IndiaView full profile → , Madhavarapu Chandanchandanmadhavarapu@hotmail.comDepartment of Computer Science and EngineeringKoneru Lakshmaiah Education FoundationVaddeswaram, Andhra Pradesh, 522302, IndiaView full profile → , V. Balajibalaji.iniyan@gmail.comDepartment of Computer Science and Engineering (Cyber Security)Easwari Engineering CollegeChennai, Tamil Nadu, 600089, IndiaView full profile → , N. S. R. Phanindra Kumarphanindra.nsr@gmail.comDepartment of Computer Science & EngineeringAditya Institute of Technology and ManagementSrikakulam, Andhra Pradesh, 532201, IndiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 01 Oct 2025
- Published Online:
- 30 Sep 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDMSC-2785
- Pages:
- 3583–3592
Abstract
Traditional key generation algorithms, while mathematically sound, exhibit rigidity when confronted with noisy, uncertain, or biometric input environments. This research proposes a novel Fuzzy Algebra-Based Cryptographic Key Generation Model (FACKGM) designed to address these challenges through the integration of fuzzy set theory, fuzzy algebraic structures, and established cryptographic primitives. The proposed model leverages fuzzy membership functions, T-norm and S-norm operators, and fuzzy inference systems to transform imprecise input parameters into high-entropy cryptographic keys suitable for use in secure communication systems. The model supports adaptive key sizing between 512 and 1024 bits, demonstrating scalability across diverse security requirements.
Simulation experiments were conducted to evaluate the proposed model against RSA-2048, AES-256, and Elliptic Curve Cryptography (ECC-256) across parameters including key generation time, entropy level, avalanche effect, brute-force resistance, and side-channel attack robustness. Results indicate that FACKGM achieves a key generation time of 20.4 ms, an entropy level of 148.7 bits, a key uniqueness rate of 99.93%, and brute-force resistance estimated at 10^72 years, significantly outperforming contemporary algorithms. The proposed model thus presents a computationally efficient, mathematically rigorous, and noise-tolerant cryptographic key generation solution for next-generation secure communication infrastructures.
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References
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