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Selforganizology, 2026, 13(3-4): 142-150
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Article

An optimal secure authenticated key exchange scheme for vehicular cloud computing using Schnorr signcryption with HECC

Rashid Ahmed, Riaz Shah, Mohsin Shah, Noor Ul Amin
1Department of Telecommunication, Hazara University, Mansehra, KP, Pakistan
2Department of Computer Science, Hazara University, Mansehra, KP, Pakistan

Received 27 September 2026;Accepted 11 October 2026;Published online 15 October 2026;Published 1 December 2026
IAEES

Abstract
Vehicular Cloud Computing (VCC) combines vehicular ad hoc networking with cloud resources to support safety, traffic-management, infotainment, storage, and computation services. Because vehicles and roadside components communicate over dynamic wireless links, authentication, confidentiality, integrity, and resistance to impersonation and replay attacks are important requirements. This paper presents a secure authenticated key exchange scheme for VCC based on Schnorr signcryption and hyperelliptic curve cryptography (HECC). The scheme uses sender and receiver authentication phases and one-way hash operations to establish mutual authentication before data transfer. We evaluate the scheme using MATLAB and compares its computational cost with selected elliptic-curve and hyperelliptic-curve signcryption schemes. In the reported experiments, the proposed scheme requires 1.44 ms for signcryption and 1.92 ms for unsigncryption, giving a reported total of 3.36 ms. The paper also reports reduced key-size requirements for HECC relative to the ECC parameters used in its comparison. Security analysis in the source work addresses confidentiality, integrity, authenticity, and unforgeability. The results indicate a reduction in the reported computational overhead; however, the study is based on simulation and source-reported operation costs, so broader implementation and formal security validation are appropriate directions for future work.

Keywords vehicular cloud computing;VANET;Schnorr signcryption;hyper elliptic curve cryptography;authentication;key exchange;security;computational cost.


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