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Sensors 2019, 19(4), 903; https://doi.org/10.3390/s19040903

A Novel Method for Polar Form of Any Degree of Multivariate Polynomials with Applications in IoT

1
Department of Computer Engineering, Ondokuz Mayıs University, Samsun 55139, Turkey
2
LaSTIC Laboratory, Department of Sciences & Technologies, University of Batna 2, Batna 05000, Algeria
3
Department of Sciences and Engineering, University of Quintana Roo, Chetumal 77019, Mexico
*
Author to whom correspondence should be addressed.
Received: 23 December 2018 / Revised: 30 January 2019 / Accepted: 3 February 2019 / Published: 21 February 2019
(This article belongs to the Special Issue Internet of Things and Machine-to-Machine Communication)
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Abstract

Identification schemes based on multivariate polynomials have been receiving attraction in different areas due to the quantum secure property. Identification is one of the most important elements for the IoT to achieve communication between objects, gather and share information with each other. Thus, identification schemes which are post-quantum secure are significant for Internet-of-Things (IoT) devices. Various polar forms of multivariate quadratic and cubic polynomial systems have been proposed for these identification schemes. There is a need to define polar form for multivariate dth degree polynomials, where d 4 . In this paper, we propose a solution to this need by defining constructions for multivariate polynomials of degree d 4 . We give a generic framework to construct the identification scheme for IoT and RFID applications. In addition, we compare identification schemes and curve-based cryptoGPS which is currently used in RFID applications. View Full-Text
Keywords: multivariate polynomials; post-quantum cryptography; bilinear functions; identification schemes; IoT; RFID multivariate polynomials; post-quantum cryptography; bilinear functions; identification schemes; IoT; RFID
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Akleylek, S.; Soysaldı, M.; Boubiche, D.E.; Toral-Cruz, H. A Novel Method for Polar Form of Any Degree of Multivariate Polynomials with Applications in IoT. Sensors 2019, 19, 903.

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