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

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...

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Detalles Bibliográficos
Autores principales: Akleylek, Sedat, Soysaldı, Meryem, Boubiche, Djallel Eddine, Toral-Cruz, Homero
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2019
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6412920/
https://www.ncbi.nlm.nih.gov/pubmed/30795567
http://dx.doi.org/10.3390/s19040903
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author Akleylek, Sedat
Soysaldı, Meryem
Boubiche, Djallel Eddine
Toral-Cruz, Homero
author_facet Akleylek, Sedat
Soysaldı, Meryem
Boubiche, Djallel Eddine
Toral-Cruz, Homero
author_sort Akleylek, Sedat
collection PubMed
description 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 [Formula: see text]. In this paper, we propose a solution to this need by defining constructions for multivariate polynomials of degree [Formula: see text]. 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.
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spelling pubmed-64129202019-04-03 A Novel Method for Polar Form of Any Degree of Multivariate Polynomials with Applications in IoT Akleylek, Sedat Soysaldı, Meryem Boubiche, Djallel Eddine Toral-Cruz, Homero Sensors (Basel) Article 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 [Formula: see text]. In this paper, we propose a solution to this need by defining constructions for multivariate polynomials of degree [Formula: see text]. 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. MDPI 2019-02-21 /pmc/articles/PMC6412920/ /pubmed/30795567 http://dx.doi.org/10.3390/s19040903 Text en © 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Akleylek, Sedat
Soysaldı, Meryem
Boubiche, Djallel Eddine
Toral-Cruz, Homero
A Novel Method for Polar Form of Any Degree of Multivariate Polynomials with Applications in IoT
title A Novel Method for Polar Form of Any Degree of Multivariate Polynomials with Applications in IoT
title_full A Novel Method for Polar Form of Any Degree of Multivariate Polynomials with Applications in IoT
title_fullStr A Novel Method for Polar Form of Any Degree of Multivariate Polynomials with Applications in IoT
title_full_unstemmed A Novel Method for Polar Form of Any Degree of Multivariate Polynomials with Applications in IoT
title_short A Novel Method for Polar Form of Any Degree of Multivariate Polynomials with Applications in IoT
title_sort novel method for polar form of any degree of multivariate polynomials with applications in iot
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6412920/
https://www.ncbi.nlm.nih.gov/pubmed/30795567
http://dx.doi.org/10.3390/s19040903
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