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Optimal Elliptic-Curve Subspaces for Applications in Double-Authenticated Requests in Mobile Distributed Data Mining

Author

Listed:
  • Daniel Ioan Hunyadi

    (Faculty of Science, Department of Mathematics and Informatics, Lucian Blaga University of Sibiu, 550012 Sibiu, Romania
    These authors contributed equally to this work.)

  • Oana-Adriana Ticleanu

    (Faculty of Science, Department of Mathematics and Informatics, Lucian Blaga University of Sibiu, 550012 Sibiu, Romania
    These authors contributed equally to this work.)

  • Nicolae Constantinescu

    (Faculty of Science, Department of Mathematics and Informatics, Lucian Blaga University of Sibiu, 550012 Sibiu, Romania
    These authors contributed equally to this work.)

Abstract

Mathematical models based on elliptic curves have been intensively studied since their applicability in data security systems was discovered. In this article, the authors describe the optimal way to select particular subspaces over which elliptic curves are defined, showing the applicability of these subspaces in secure data transfer. Access to large databases and analyses of the requests made to these databases are required daily by a variety of users, including legal entities. An attack on these communication systems causes violations in privacy and damage to/theft of data that can be worth EUR tens of billions annually. For requests made between computers, encryption methods can be used as these systems have adequate computing power and energy. For requests made from fixed and mobile systems, if the data are distributed heterogeneously, the computing power required to authenticate both the users and the answering entities determines the efficiency of the proposed solution. To address this limitation, our study proposes a double-authentication method based on particular elliptic-curve systems.

Suggested Citation

  • Daniel Ioan Hunyadi & Oana-Adriana Ticleanu & Nicolae Constantinescu, 2022. "Optimal Elliptic-Curve Subspaces for Applications in Double-Authenticated Requests in Mobile Distributed Data Mining," Mathematics, MDPI, vol. 11(1), pages 1-14, December.
    • Handle: RePEc:gam:jmathe:v:11:y:2022:i:1:p:122-:d:1016592
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    References listed on IDEAS

    as
    1. Ana Maria Acu & Sever Hodiş & Ioan Rașa, 2020. "Estimates for the Differences of Certain Positive Linear Operators," Mathematics, MDPI, vol. 8(5), pages 1-12, May.
    2. Ana Maria Acu & Alexandra Măduţa & Diana Otrocol & Ioan Raşa, 2020. "Inequalities for Information Potentials and Entropies," Mathematics, MDPI, vol. 8(11), pages 1-18, November.
    3. Rania Baashirah & Abdelshakour Abuzneid & Salah Addine Mellouki & Zeba Siraj & Cheng Zhan, 2021. "Low-Cost RFID Authentication Protocol Based on Elliptic Curve Algorithm," International Journal of Interdisciplinary Telecommunications and Networking (IJITN), IGI Global, vol. 13(2), pages 1-11, April.
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