A Lightweight Enhanced Montgomery Elliptic Curve Cryptography Scheme for Secure Communication in Wireless Sensor Networks

Authors

  • M. Nanak Zakaria Electrical Engineering Department, Politeknik Negeri Malang, Indonesia | Electrical and Informatics Engineering Study Program, Universitas Negeri Malang, Indonesia
  • Muladi Electrical and Informatics Engineering Study Program, Universitas Negeri Malang, Indonesia https://orcid.org/0000-0002-2904-5398
  • Hakkun Elmunsyah Electrical and Informatics Engineering Study Program, Universitas Negeri Malang, Indonesia
Volume: 16 | Issue: 3 | Pages: 35608-35619 | June 2026 | https://doi.org/10.48084/etasr.17754

Abstract

This paper presents an Enhanced Montgomery Elliptic Curve Cryptography (ECC) scheme suitable for secure communication in resource‑constrained Wireless Sensor Networks (WSNs). While Montgomery‑based ECC is attractive for fast scalar multiplication, practical deployments on sensor nodes still suffer from significant encryption and decryption latency, non‑negligible energy consumption, and limited CPU and memory capability. To address these issues, the proposed design revisits the scalar multiplication ladder and unifies the differential addition formulas to reduce redundant field operations, while preserving the original security level. The scheme's performance was compared with those of the classical Weierstrass‑based ECC and the standard Montgomery implementation. Simulation results show that the proposed scheme shows a significant performance improvement in terms of execution time, energy consumption, and CPU encryption time, without increasing ciphertext size or memory requirements, while maintaining the level of cryptographic security and randomness. These findings indicate that the proposed scheme offers a practical public‑key solution for long‑lived, battery‑powered WSNs.

Keywords:

elliptic curve cryptography, Montgomery, CPU usage

References

A. Mishra, "Elliptic Curve Cryptography (ECC) for Security in wireless Sensor Network," International journal of engineering research and technology, May 2012.

S. Urooj, S. Lata, S. Ahmad, S. Mehfuz, and S. Kalathil, "Cryptographic Data Security for Reliable Wireless Sensor Network," Alexandria Engineering Journal, vol. 72, pp. 37–50, June 2023.

A. Aripriharta, M. Muladi, N. Mufti, I. A. E. Zaeni, I. M. Wirawan, and G.-J. Horng, "Modeling and Analysis of the Self-powered Device for Wireless Heart Rate Measurement." ENGINEERING, July 24, 2019.

A. Sajid, O. S. Sonbul, M. Rashid, and M. Y. I. Zia, "A Hybrid Approach for Efficient and Secure Point Multiplication on Binary Edwards Curves," Applied Sciences, vol. 13, no. 9, May 2023.

R. Senthil Kumaran, K. Loga, M. Arul Pugazhendhi, and K. Saundariya, "Security Techniques in Wireless Sensor Networks - A Comprehensive Survey," in 2021 Smart Technologies, Communication and Robotics (STCR), July 2021, pp. 1–6.

S. Baktır and B. Sunar, "Finite Field Polynomial Multiplication in the Frequency Domain with Application to Elliptic Curve Cryptography," in Computer and Information Sciences – ISCIS 2006, 2006, pp. 991–1001.

C. Costello and B. Smith, "Montgomery curves and their arithmetic," Journal of Cryptographic Engineering, vol. 8, no. 3, pp. 227–240, Sept. 2018.

R. I. Lestari, V. Suryani, and A. A. Wardhana, "Digital Signature Method to Overcome Sniffing Attacks on LoRaWAN Network," International journal of electrical and computer engineering systems, vol. 13, no. 7, pp. 533–539, Sept. 2022.

W. Castryck, T. Lange, C. Martindale, L. Panny, and J. Renes, "CSIDH: An Efficient Post-Quantum Commutative Group Action," in Advances in Cryptology – ASIACRYPT 2018, 2018, pp. 395–427.

C. Anuradha et al., "A Robust Security System Using SHA-512 with Reinforcement Learning in Wireless Sensor Networks," Engineering, Technology & Applied Science Research, vol. 15, no. 6, pp. 30080–30086, Dec. 2025.

E. T. Oladipupo et al., "An Efficient Authenticated Elliptic Curve Cryptography Scheme for Multicore Wireless Sensor Networks," IEEE Access, vol. 11, pp. 1306–1323, 2023.

F. Rezaei and A. Zahedi, "Dealing with Wormhole Attacks in Wireless Sensor Networks Through Discovering Separate Routes Between Nodes," Engineering, Technology & Applied Science Research, vol. 7, no. 4, pp. 1771–1774, Aug. 2017.

K. Abhishek and E. G. D. P. Raj, "Computation of Trusted Short Weierstrass Elliptic Curves for Cryptography," Cybernetics and Information Technologies, vol. 21, no. 2, pp. 70–88, July 2021.

D. Cervantes-Vázquez, E. Ochoa-Jiménez, and F. Rodríguez-Henríquez, "Parallel Strategies for SIDH: Toward Computing SIDH Twice as Fast," IEEE Transactions on Computers, vol. 71, no. 6, pp. 1249–1260, June 2022.

A. Aripriharta, A. Firmansah, M. Yazid, I. D. Wahyono, Muladi, and G. J. Horng, "Modelling of adaptive power management circuit with feedback for self-powered IoT," Journal of Physics: Conference Series, vol. 1595, no. 1, Apr. 2020, Art. no. 012023.

A. Iqbal and T. Iqbal, "Low-cost and Secure Communication System for Remote Micro-grids using AES Cryptography on ESP32 with LoRa Module," in 2018 IEEE Electrical Power and Energy Conference (EPEC), July 2018, pp. 1–5.

A. Faz-Hernández, J. López, E. Ochoa-Jiménez, and F. Rodríguez-Henríquez, "A Faster Software Implementation of the Supersingular Isogeny Diffie-Hellman Key Exchange Protocol," IEEE Transactions on Computers, vol. 67, no. 11, pp. 1622–1636, Aug. 2018.

S. Liu and L. Zhang, "Efficient Septuple Formula for Elliptic Curve and Efficient Scalar Multiplication Using a Triple-Base Chain Representation," IEEE Access, vol. 9, pp. 129512–129520, 2021.

S. D. Chavan and A. V. Kulkarni, "Event Based Clustering Localized Energy Efficient Ant Colony Optimization (EBC_LEE-ACO) for Performance Enhancement of Wireless Sensor Network," Engineering, Technology & Applied Science Research, vol. 8, no. 4, pp. 3177–3183, Aug. 2018.

N. Haidar Hari, M. Sholihul Hadi, and Sujito, "LEACH Protocol with Angular Area Routing: Boosting Energy Efficiency and QoS in Wireless Sensor Networks," Jan. 2024.

N. H. Hari, Mokh. S. Hadi, S. Sujito, A. I. C. Ani, S. Setumin, and Mhd. Irvan, "ARZSEP: Angle-Based Routing Optimization in ZSEP Protocol for Heterogeneous WSNs," Wireless Personal Communications, vol. 139, no. 2, pp. 1013–1038, Nov. 2024.

Aripriharta, W. Z. Hao, Muladi, G.-J. Horng, and G.-J. Jong, "A New Bio-Inspired for Cooperative Data Transmission of IoT," IEEE Access, vol. 8, pp. 161884–161893, 2020.

T. Widiyaningtyas, I. Hidayah, and T. B. Adji, "Recommendation Algorithm Using Clustering-Based UPCSim (CB-UPCSim)," Computers, vol. 10, no. 10, Oct. 2021.

Y. Yan, "The Overview of Elliptic Curve Cryptography (ECC)," Journal of Physics: Conference Series, vol. 2386, no. 1, Sept. 2022, Art. no. 012019.

G. Narsimha and C. Sampath Reddy, "Secure Optimized Routing and Data Transmission in Wireless Sensor Networks with Elliptic Curve Cryptography," International Journal of Intelligent Engineering and Systems, vol. 15, no. 4, Aug. 2022.

S. K. Wagle, A. A. Bazilraj, and K. P. Ray, "Energy efficient security solution for attacks on Wireless Sensor Networks," in 2021 2nd International Conference on Advances in Computing, Communication, Embedded and Secure Systems (ACCESS), Sept. 2021, pp. 313–318.

S. Pfeiffer and N. Tihanyi, "D(HE)at: A Practical Denial-of-Service Attack on the Finite Field Diffie–Hellman Key Exchange," IEEE Access, vol. 12, pp. 957–980, 2024.

Y. Xie et al., "A Dual-Core High-Performance Processor for Elliptic Curve Cryptography in GF(p) Over Generic Weierstrass Curves," IEEE Transactions on Circuits and Systems II: Express Briefs, vol. 69, no. 11, pp. 4523–4527, Aug. 2022.

D. Lestari, I. D. Wahyono, and I. Fadlika, "IoT based Electrical Energy Consumption Monitoring System Prototype: Case study in G4 Building Universitas Negeri Malang," in 2017 International Conference on Sustainable Information Engineering and Technology (SIET), Aug. 2017, pp. 342–347.

Downloads

How to Cite

[1]
M. N. Zakaria, Muladi, and H. Elmunsyah, “A Lightweight Enhanced Montgomery Elliptic Curve Cryptography Scheme for Secure Communication in Wireless Sensor Networks”, Eng. Technol. Appl. Sci. Res., vol. 16, no. 3, pp. 35608–35619, Jun. 2026.

Metrics

Abstract Views: 12
PDF Downloads: 6

Metrics Information