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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| Format: | Article |
| Language: | English |
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MDPI AG
2019-02-01
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| Series: | Sensors |
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| Online Access: | https://www.mdpi.com/1424-8220/19/4/903 |
| _version_ | 1811299842080636928 |
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| author | Sedat Akleylek Meryem Soysaldı Djallel Eddine Boubiche Homero Toral-Cruz |
| author_facet | Sedat Akleylek Meryem Soysaldı Djallel Eddine Boubiche Homero Toral-Cruz |
| author_sort | Sedat Akleylek |
| collection | DOAJ |
| 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 <i>d</i>th degree polynomials, where <inline-formula> <math display="inline"> <semantics> <mrow> <mi>d</mi> <mo>≥</mo> <mn>4</mn> </mrow> </semantics> </math> </inline-formula>. In this paper, we propose a solution to this need by defining constructions for multivariate polynomials of degree <inline-formula> <math display="inline"> <semantics> <mrow> <mi>d</mi> <mo>≥</mo> <mn>4</mn> </mrow> </semantics> </math> </inline-formula>. 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. |
| first_indexed | 2024-04-13T06:42:43Z |
| format | Article |
| id | doaj.art-333125f018824a719eecaf0a1d972b3b |
| institution | Directory Open Access Journal |
| issn | 1424-8220 |
| language | English |
| last_indexed | 2024-04-13T06:42:43Z |
| publishDate | 2019-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Sensors |
| spelling | doaj.art-333125f018824a719eecaf0a1d972b3b2022-12-22T02:57:41ZengMDPI AGSensors1424-82202019-02-0119490310.3390/s19040903s19040903A Novel Method for Polar Form of Any Degree of Multivariate Polynomials with Applications in IoTSedat Akleylek0Meryem Soysaldı1Djallel Eddine Boubiche2Homero Toral-Cruz3Department of Computer Engineering, Ondokuz Mayıs University, Samsun 55139, TurkeyDepartment of Computer Engineering, Ondokuz Mayıs University, Samsun 55139, TurkeyLaSTIC Laboratory, Department of Sciences & Technologies, University of Batna 2, Batna 05000, AlgeriaDepartment of Sciences and Engineering, University of Quintana Roo, Chetumal 77019, MexicoIdentification 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 <i>d</i>th degree polynomials, where <inline-formula> <math display="inline"> <semantics> <mrow> <mi>d</mi> <mo>≥</mo> <mn>4</mn> </mrow> </semantics> </math> </inline-formula>. In this paper, we propose a solution to this need by defining constructions for multivariate polynomials of degree <inline-formula> <math display="inline"> <semantics> <mrow> <mi>d</mi> <mo>≥</mo> <mn>4</mn> </mrow> </semantics> </math> </inline-formula>. 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.https://www.mdpi.com/1424-8220/19/4/903multivariate polynomialspost-quantum cryptographybilinear functionsidentification schemesIoTRFID |
| spellingShingle | Sedat Akleylek Meryem Soysaldı Djallel Eddine Boubiche Homero Toral-Cruz A Novel Method for Polar Form of Any Degree of Multivariate Polynomials with Applications in IoT Sensors multivariate polynomials post-quantum cryptography bilinear functions identification schemes IoT RFID |
| 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 | multivariate polynomials post-quantum cryptography bilinear functions identification schemes IoT RFID |
| url | https://www.mdpi.com/1424-8220/19/4/903 |
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