Optimized Ambiguous-Key ECC Signatures for Lightweight and Secure IoT Systems

  • Mohamed El ouafi Department of Mathematics, Pluridisciplinary Faculty, Mohammed First University, Laboratory of Applied Mathematics and Information Systems, Selouane, Nador, Morocco
  • Kaoutar Lamrini Uahabi Department of Mathematics, Pluridisciplinary Faculty, Mohammed First University, Laboratory of Applied Mathematics and Information Systems
  • Abderrahim Aslimani Department of Mathematics, Pluridisciplinary Faculty, Mohammed First University, Laboratory of Applied Mathematics of the Oriental
  • Abderrahim Zannou ERCI2A, FSTH, Abdelmalek Essaadi University, Tetouan, Morocco
DOI: https://doi.org/10.19139/soic-2310-5070-3280
Keywords: Digital signatures, elliptic curves, Hidden Shift Problem, discrete logarithm problem

Abstract

In IoT constrained environments, traditional digital signatures struggle to acheive an effective balancebetween security, compactness, and computational efficiency. To overcome these constraints, we propose alightweight elliptic-curve signature scheme based on a dual-component private key (x, Q1) and two auxiliarycommitments, inspired by the Schnorr structure. The design introduces structural ambiguity in the secretkey, increasing resistance to key-recovery attacks while maintaining a lightweight and fast signature process.Experimental evaluation on NIST-standardized elliptic curves shows competitive performance: key generationranges from 11.6 ms to 232.1 ms, signing from 17.9 ms to 245.4 ms, and verification from 22.5 ms to 258.0 ms,with energy consumption below 2.8 μJ. The results confirm that the proposed scheme offers an effective a balanced compromise between compactness, runtime efficiency, energy usage, memory requirements, and practical security guarantees, making it suitable for distributed architectures and resource-constrained IoT devices.
Published
2026-01-24
How to Cite
El ouafi, M., Lamrini Uahabi, K., Aslimani, A., & Zannou, A. (2026). Optimized Ambiguous-Key ECC Signatures for Lightweight and Secure IoT Systems. Statistics, Optimization & Information Computing. https://doi.org/10.19139/soic-2310-5070-3280
Issue
Online First
Section
Research Articles
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