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An efficient authentication with key agreement procedure using Mittag–Leffler–Chebyshev summation chaotic map under the multi-server architecture

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Abstract

The recent technological advancement and rapid development of computer networks have increased the popularity of remote password authentication protocols. Toward this end, the emphasis has shifted to protocols that apply to smart cards-empowered multi-server environments. In order to defend against the replay attack, these protocols usually depend on the nonce or timestamp. In this paper, an efficient Mittag–Leffler–Chebyshev Summation Chaotic Map (MLCSCM)-enabled multi-server authentication protocol with the key agreement is proposed and generalized to address this peculiarity in multi-server-oriented applications. The security proof and efficiency analysis of the presented MLCSCM authenticated key agreement protocol is rigorously derived and validated. Compared to the recently published literature, the proposed protocol presents high efficiency with unique features, and it is highly resistant to sophisticated attacks and achieves perfect forward secrecy.

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Acknowledgements

The authors would like to thank the anonymous reviewers of the Journal of Supercomputing for their excellent reviews and helpful commentsand extend their gratitude to the Deanship of Scientific Research at King Khalid University for funding this work through research groups program under grant number R. G. P. 1/72/42. Agbotiname Lucky Imoize is partly supported by the Nigerian Petroleum Technology Development Fund (PTDF) and the German Academic Exchange Service (DAAD) through the Nigerian-German Postgraduate Program under Grant 57473408.

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Authors and Affiliations

  1. Department of Post Graduate Studies and Research in Mathematics, Jayawanti Haksar Government Post-Graduation College, College of Chhindwara University, Betul, M.P., 460001, India

    Chandrashekhar Meshram

  2. IEEE: 94086547, 59200, Kuala Lumpur, Malaysia

    Rabha W. Ibrahim

  3. Department for Management of Science and Technology Development, Ton DucThang University, Ho Chi Minh City, Vietnam

    Sarita Gajbhiye Meshram

  4. Department of Mathematics, College of Science, King Khalid University, Abha, Saudi Arabia

    Sajjad Shaukat Jamal

  5. Department of Electrical and Electronics Engineering, Faculty of Engineering, University of Lagos, Akoka, 100213, Lagos, Nigeria

    Agbotiname Lucky Imoize

  6. Department of Electrical Engineering and Information Technology, Institute of Digital Communication, Ruhr University, 44801, Bochum, Germany

    Agbotiname Lucky Imoize

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  1. Chandrashekhar Meshram
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Contributions

CM and RWI conceived the study; ALI contributed to formal analysis; CM, RWI, and SSJ contributed to investigation, methodology, supervision, validation/visualization, and writing—original draft; CM contributed to resources; SGM and ALI contributed to software; CM, RWI, SSJ, SGM, and ALI performed writing—review & editing.

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Correspondence to Chandrashekhar Meshram.

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Meshram, C., Ibrahim, R.W., Meshram, S.G. et al. An efficient authentication with key agreement procedure using Mittag–Leffler–Chebyshev summation chaotic map under the multi-server architecture. J Supercomput 78, 4938–4959 (2022). https://doi.org/10.1007/s11227-021-04039-1

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