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Sensors (Basel). 2019 Feb 21;19(4). pii: E903. doi: 10.3390/s19040903.

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

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Department of Computer Engineering, Ondokuz Mayıs University, Samsun 55139, Turkey.
Department of Computer Engineering, Ondokuz Mayıs University, Samsun 55139, Turkey.
LaSTIC Laboratory, Department of Sciences & Technologies, University of Batna 2, Batna 05000, Algeria.
Department of Sciences and Engineering, University of Quintana Roo, Chetumal 77019, Mexico.


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.


IoT; RFID; bilinear functions; identification schemes; multivariate polynomials; post-quantum cryptography

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