International Journal of Fuzzy Mathematical Archive
  • Year: 2025
  • Volume: 23
  • Issue: 1

Fuzzy-based performance assessment of RSA and ECC in digital authentication

  • Author:
  • N. Ramya1, Hossein Rashmanlou2, Farshid Mofidnakhaei3, K. Sri Hema4, N. Sikkander Asma4
  • Total Page Count: 18
  • Page Number: 13 to 30

1Department of Mathematics, Vellalar College for Women, Erode, India, E-mail: jpramyamaths@gmail.com

2School of Physics, Damghan University, Damghan, Iran, Email: rashmanlou.1987@gmail.com

3Department of Physics, Sar. C., Islamic Azad University, Sari, Iran, E-mail: farshid.mofidnakhaei@gmail.com

4Department of Mathematics, Vellalar College for Women, Erode, India

Online published on 14 August, 2025.

Abstract

Digital signatures are essential for ensuring authenticity, integrity, and non-repudiation in electronic communications. This study presents a fuzzy logic-based comparative analysis of two widely used digital signature algorithms, RSA and Elliptic Curve Cryptography (ECC). While RSA offers strong security, its reliance on enormous key sizes increases computational load. ECC, on the other hand, provides equivalent security with significantly smaller keys, making it more suitable for ability-embarrassed environments such as IoT and mobile devices. The analysis incorporates fuzzy logic principles to evaluate the trade-offs in performance and security, offering practical guidance for selecting the optimal digital signature approach.

Keywords

Digital Signature, RSA Algorithm, Elliptic Curve Cryptography (ECC), Data Integrity