Please use this identifier to cite or link to this item:
https://hdl.handle.net/20.500.14279/19431
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Mustafa, Iqra | - |
dc.contributor.author | Mustafa, Hasnain | - |
dc.contributor.author | Azar, Ahmad Taher | - |
dc.contributor.author | Aslam, Sheraz | - |
dc.contributor.author | Mohsin, Syed Muhammad | - |
dc.contributor.author | Qureshi, Muhammad Bilal | - |
dc.contributor.author | Ashraf, Nouman | - |
dc.date.accessioned | 2020-11-18T12:31:14Z | - |
dc.date.available | 2020-11-18T12:31:14Z | - |
dc.date.issued | 2020 | - |
dc.identifier.citation | IEEE Access, 2020, vol. 8. pp. 136524-136536 | en_US |
dc.identifier.issn | 21693536 | - |
dc.identifier.uri | https://hdl.handle.net/20.500.14279/19431 | - |
dc.description.abstract | Among several approaches to privacy-preserving cryptographic schemes, we have concentrated on noise-free homomorphic encryption. It is a symmetric key encryption that supports homomorphic operations on encrypted data. We present a fully homomorphic encryption (FHE) scheme based on sedenion algebra over finite Zn rings. The innovation of the scheme is the compression of a 16-dimensional vector for the application of Frobenius automorphism. For sedenion, we have p16 different possibilities that create a significant bijective mapping over the chosen 16-dimensional vector that adds permutation to our scheme. The security of this scheme is based on the assumption of the hardness of solving a multivariate quadratic equation system over finite Zn rings. The scheme results in 256n multivariate polynomial equations with 256+16n unknown variables for n messages. For this reason, the proposed scheme serves as a security basis for potentially post-quantum cryptosystems. Moreover, after sedenion, no newly constructed algebra loses its properties. This scheme would therefore apply as a whole to the following algebras, such as 32-dimensional trigintadunion. | en_US |
dc.format | en_US | |
dc.language.iso | en | en_US |
dc.relation.ispartof | IEEE Access | en_US |
dc.rights | This work is licensed under a Creative Commons Attribution 4.0 License | en_US |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Automorphism Aut(V) | en_US |
dc.subject | Frobenius automorphism φ | en_US |
dc.subject | Fully homomorphic encryption | en_US |
dc.subject | Multivariate polynomial equations | en_US |
dc.subject | Sedenion | en_US |
dc.subject | Totally isotropic subspaces | en_US |
dc.title | Noise free fully homomorphic encryption scheme over non-associative algebra | en_US |
dc.type | Article | en_US |
dc.collaboration | Cork Institute of Technology | en_US |
dc.collaboration | COMSATS University Islamabad | en_US |
dc.collaboration | Prince Sultan University | en_US |
dc.collaboration | Benha University | en_US |
dc.collaboration | Cyprus University of Technology | en_US |
dc.collaboration | Shaheed Zulfikar Ali Bhutto Institute of Science and Technology | en_US |
dc.collaboration | Waterford Institute of Technology | en_US |
dc.subject.category | Computer and Information Sciences | en_US |
dc.journals | Open Access | en_US |
dc.country | Ireland | en_US |
dc.country | Pakistan | en_US |
dc.country | Saudi Arabia | en_US |
dc.country | Egypt | en_US |
dc.country | Cyprus | en_US |
dc.subject.field | Natural Sciences | en_US |
dc.publication | Peer Reviewed | en_US |
dc.identifier.doi | 10.1109/ACCESS.2020.3007717 | en_US |
dc.relation.volume | 8 | en_US |
cut.common.academicyear | 2019-2020 | en_US |
dc.identifier.spage | 136524 | en_US |
dc.identifier.epage | 136536 | en_US |
item.fulltext | With Fulltext | - |
item.cerifentitytype | Publications | - |
item.grantfulltext | open | - |
item.openairecristype | http://purl.org/coar/resource_type/c_6501 | - |
item.openairetype | article | - |
item.languageiso639-1 | en | - |
crisitem.journal.journalissn | 2169-3536 | - |
crisitem.journal.publisher | IEEE | - |
crisitem.author.dept | Department of Electrical Engineering, Computer Engineering and Informatics | - |
crisitem.author.faculty | Faculty of Engineering and Technology | - |
crisitem.author.orcid | 0000-0003-4305-0908 | - |
crisitem.author.parentorg | Faculty of Engineering and Technology | - |
Appears in Collections: | Άρθρα/Articles |
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09134724.pdf | Fulltext | 866.58 kB | Adobe PDF | View/Open |
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