{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,19]],"date-time":"2026-05-19T12:50:33Z","timestamp":1779195033948,"version":"3.51.4"},"reference-count":33,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2023,8,10]],"date-time":"2023-08-10T00:00:00Z","timestamp":1691625600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Future Internet"],"abstract":"<jats:p>Vehicular ad hoc networks (VANETs) have become an essential part of the intelligent transportation system because they provide secure communication among vehicles, enhance vehicle safety, and improve the driving experience. However, due to the openness and vulnerability of wireless networks, the participating vehicles in a VANET system are prone to a variety of cyberattacks. To secure the privacy of vehicles and assure the authenticity, integrity, and nonrepudiation of messages, numerous signature schemes have been employed in the literature on VANETs. The majority of these solutions, however, are either not fully secured or entail high computational costs. To address the above issues and to enable secure communication between the vehicle and the roadside unit (RSU), we propose a certificateless aggregate signature (CLAS) scheme based on hyperelliptic curve cryptography (HECC). This scheme enables participating vehicles to share their identities with trusted authorities via an open wireless channel without revealing their identities to unauthorized participants. Another advantage of this approach is its capacity to release the partial private key to participating devices via an open wireless channel while keeping its identity secret from any other third parties. A provable security analysis through the random oracle model (ROM), which relies on the hyperelliptic curve discrete logarithm problem, is performed, and we have proven that the proposed scheme is unforgeable against Type 1 (FGR1) and Type 2 (FGR2) forgers. The proposed scheme is compared with relevant schemes in terms of computational cost and communication overhead, and the results demonstrate that the proposed scheme is more efficient than the existing schemes in maintaining high-security levels.<\/jats:p>","DOI":"10.3390\/fi15080266","type":"journal-article","created":{"date-parts":[[2023,8,11]],"date-time":"2023-08-11T10:33:23Z","timestamp":1691750003000},"page":"266","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":20,"title":["An Efficient and Secure Certificateless Aggregate Signature Scheme for Vehicular Ad hoc Networks"],"prefix":"10.3390","volume":"15","author":[{"given":"Asad","family":"Iqbal","sequence":"first","affiliation":[{"name":"Department of Computer Science, Khushal Khan Khattak University, Karak 27200, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6723-5486","authenticated-orcid":false,"given":"Muhammad","family":"Zubair","sequence":"additional","affiliation":[{"name":"Department of Computer Science, Khushal Khan Khattak University, Karak 27200, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1351-898X","authenticated-orcid":false,"given":"Muhammad Asghar","family":"Khan","sequence":"additional","affiliation":[{"name":"Faculty of Engineering Sciences and Technology, Hamdard University, Islamabad 44000, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Insaf","family":"Ullah","sequence":"additional","affiliation":[{"name":"Faculty of Engineering Sciences and Technology, Hamdard University, Islamabad 44000, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ghani","family":"Ur-Rehman","sequence":"additional","affiliation":[{"name":"Department of Computer Science, Khushal Khan Khattak University, Karak 27200, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alexey V.","family":"Shvetsov","sequence":"additional","affiliation":[{"name":"Department of Smart Technologies, Moscow Polytechnic University, St. Bolshaya Semenovskaya, 38, 107023 Moscow, Russia"},{"name":"Department of Car Transport Operation and Car Service, North-Eastern Federal University, St. Belinsky, 58, 677000 Yakutsk, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0096-3435","authenticated-orcid":false,"given":"Fazal","family":"Noor","sequence":"additional","affiliation":[{"name":"Department of Computer and Information Systems, Islamic University of Madinah, Madinah 400411, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,8,10]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"8","DOI":"10.1186\/s13173-021-00113-x","article-title":"VANET simulators: An updated review","volume":"27","author":"Weber","year":"2021","journal-title":"J. Braz. Comput. Soc."},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Raut, C.M., and Devane, S.R. (2017, January 6\u20138). Intelligent transportation system for smartcity using VANET. Proceedings of the 2017 International Conference on Communication and Signal Processing (ICCSP), Chennai, India.","DOI":"10.1109\/ICCSP.2017.8286659"},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Ullah, I., Khan, M.A., Alsharif, M.H., and Nordin, R. (2021). An anonymous certificateless signcryption scheme for secure and efficient deployment of Internet of vehicles. Sustainability, 13.","DOI":"10.3390\/su131910891"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"12158","DOI":"10.1109\/TVT.2021.3118892","article-title":"Provable secure identity-based anonymous and privacy-preserving inter-vehicular authentication protocol for VANETS using PUF","volume":"70","author":"Umar","year":"2021","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Ullah, I., Khan, M.A., Khan, F., Jan, M.A., Srinivasan, R., Mastorakis, S., Hussain, S., and Khattak, H. An Efficient and Secure Multi-message and Multi-receiver Signcryption Scheme for Edge Enabled Internet of Vehicles. IEEE Internet Things J., 2021.","DOI":"10.1109\/JIOT.2021.3093068"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"2985","DOI":"10.1109\/TITS.2015.2439292","article-title":"A security and privacy review of VANETs","volume":"16","author":"Qu","year":"2015","journal-title":"IEEE Trans. Intell. Transp. Syst."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"89133","DOI":"10.1109\/ACCESS.2021.3089009","article-title":"Securing internet of drones with identity-based proxy signcryption","volume":"9","author":"Khan","year":"2021","journal-title":"IEEE Access"},{"key":"ref_8","unstructured":"Shamir, A. (1985). Advances in Cryptology: Proceedings of CRYPTO 84 4, Springer."},{"key":"ref_9","first-page":"452","article-title":"Certificateless public key cryptography","volume":"Volume 2894","author":"Paterson","year":"2003","journal-title":"Asiacrypt"},{"key":"ref_10","unstructured":"Boneh, D., Gentry, C., Lynn, B., and Shacham, H. (2003). Advances in Cryptology\u2014EUROCRYPT 2003, Proceedings of the International Conference on the Theory and Applications of Cryptographic Techniques, Warsaw, Poland, 4\u20138 May 2003, Springer."},{"key":"ref_11","doi-asserted-by":"crossref","unstructured":"Ullah, I., Amin, N.U., Khan, J., Rehan, M., Naeem, M., Khattak, H., Khattak, S.J., and Ali, H. (2019). A Novel Provable Secured Signcryption Scheme \ud835\udcab\ud835\udcae\ud835\udcae\ud835\udcae: A Hyper-Elliptic Curve-Based Approach. Mathematics, 7.","DOI":"10.3390\/math7080686"},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Yum, D.H., and Lee, P.J. (2004, January 13\u201315). Generic construction of certificateless signature. Proceedings of the Information Security and Privacy: 9th Australasian Conference, ACISP 2004, Sydney, Australia.","DOI":"10.1007\/978-3-540-27800-9_18"},{"key":"ref_13","first-page":"235","article-title":"Key replacement attack against a generic construction of certificateless signature","volume":"Volume 6","author":"Hu","year":"2006","journal-title":"ACISP"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"1124","DOI":"10.1002\/cpe.3551","article-title":"A new certificateless signature with enhanced security and aggregation version","volume":"28","author":"Deng","year":"2016","journal-title":"Concurr. Comput. Pract. Exp."},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Kumar, P., and Sharma, V. (2017, January 5\u20136). A comment on efficient certificateless aggregate signature scheme. Proceedings of the 2017 International Conference on Computing, Communication and Automation (ICCCA), Greater Noida, India.","DOI":"10.1109\/CCAA.2017.8229854"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"48","DOI":"10.1016\/j.ins.2015.04.033","article-title":"An efficient certificateless aggregate signature with conditional privacy-preserving for vehicular sensor networks","volume":"317","author":"Horng","year":"2015","journal-title":"Inf. Sci."},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Ming, Y., and Shen, X. (2018). PCPA: A practical certificateless conditional privacy preserving authentication scheme for vehicular ad hoc networks. Sensors, 18.","DOI":"10.3390\/s18051573"},{"key":"ref_18","unstructured":"Li, J., Yuan, H., and Zhang, Y. (2016). Cryptanalysis and improvement of certificateless aggregate signature with conditional privacy-preserving for vehicular sensor networks. Cryptol. Eprint Arch., Available online: https:\/\/eprint.iacr.org\/2016\/692.pdf."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1016\/j.ins.2019.03.005","article-title":"Unrestricted and compact certificateless aggregate signature scheme","volume":"487","author":"Hashimoto","year":"2019","journal-title":"Inf. Sci."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"487","DOI":"10.1007\/s11277-019-06175-7","article-title":"An efficient privacy preserving authentication scheme for vehicular communications","volume":"106","author":"Malhi","year":"2019","journal-title":"Wirel. Pers. Commun."},{"key":"ref_21","first-page":"1","article-title":"An efficient certificateless aggregate signature without pairings for vehicular ad hoc networks","volume":"451","author":"Cui","year":"2018","journal-title":"Inf. Sci."},{"key":"ref_22","first-page":"184","article-title":"An improved certificateless aggregate signature scheme without bilinear pairings for vehicular ad hoc networks","volume":"44","author":"Kamil","year":"2019","journal-title":"J. Inf. Secur. Appl."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"42683","DOI":"10.1109\/ACCESS.2019.2907298","article-title":"An efficient certificateless aggregate signature scheme without pairings for healthcare wireless sensor network","volume":"7","author":"Du","year":"2019","journal-title":"IEEE Access"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"1908","DOI":"10.1109\/JIOT.2020.3019304","article-title":"Efficient and secure certificateless aggregate signature-based authentication scheme for vehicular ad hoc networks","volume":"8","author":"Thumbur","year":"2020","journal-title":"IEEE Internet Things J."},{"key":"ref_25","first-page":"4472945","article-title":"Cryptanalysis of an Efficient and Secure Certificateless Aggregate Signature-Based Authentication Scheme for Vehicular Ad Hoc Networks","volume":"2022","author":"Yang","year":"2022","journal-title":"Secur. Commun. Netw."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"6677137","DOI":"10.1155\/2021\/6677137","article-title":"Certificateless-based anonymous authentication and aggregate signature scheme for vehicular ad hoc networks","volume":"2021","author":"Ye","year":"2021","journal-title":"Wirel. Commun. Mob. Comput."},{"key":"ref_27","doi-asserted-by":"crossref","unstructured":"Vallent, T.F., Hanyurwimfura, D., and Mikeka, C. (2021). Efficient certificate-less aggregate signature scheme with conditional privacy-preservation for vehicular ad hoc networks enhanced smart grid system. Sensors, 21.","DOI":"10.3390\/s21092900"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"10354","DOI":"10.1109\/JIOT.2021.3121552","article-title":"Cpp-clas: Efficient and conditional privacy-preserving certificateless aggregate signature scheme for vanets","volume":"9","author":"Chen","year":"2021","journal-title":"IEEE Internet Things J."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"1637","DOI":"10.1109\/JSYST.2021.3116029","article-title":"eCLAS: An efficient pairing-free certificateless aggregate signature for secure VANET communication","volume":"16","author":"Han","year":"2021","journal-title":"IEEE Syst. J."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"15501329221080658","DOI":"10.1177\/15501329221080658","article-title":"A certificateless aggregate signature scheme for security and privacy protection in VANET","volume":"18","author":"Cahyadi","year":"2022","journal-title":"Int. J. Distrib. Sens. Netw."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"861","DOI":"10.1109\/TC.2005.109","article-title":"Cantor versus Harley: Optimization and analysis of explicit formulae for hyperelliptic curve cryptosystems","volume":"54","author":"Wollinger","year":"2005","journal-title":"IEEE Trans. Comput."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"103477","DOI":"10.1016\/j.micpro.2020.103477","article-title":"Lightweight and provable secure cross-domain access control scheme for internet of things (IoT) based wireless body area networks (WBAN)","volume":"81","author":"Ullah","year":"2021","journal-title":"Microprocess. Microsyst."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"5012770","DOI":"10.1155\/2022\/5012770","article-title":"A cost-effective identity-based signature scheme for vehicular ad hoc network using hyperelliptic curve cryptography","volume":"2022","author":"Iqbal","year":"2022","journal-title":"Wirel. Commun. Mob. Comput."}],"container-title":["Future Internet"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1999-5903\/15\/8\/266\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T20:30:54Z","timestamp":1760128254000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1999-5903\/15\/8\/266"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,8,10]]},"references-count":33,"journal-issue":{"issue":"8","published-online":{"date-parts":[[2023,8]]}},"alternative-id":["fi15080266"],"URL":"https:\/\/doi.org\/10.3390\/fi15080266","relation":{},"ISSN":["1999-5903"],"issn-type":[{"value":"1999-5903","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,8,10]]}}}