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On the Construction of New Lightweight Involutory MDS Matrices in Generalized Subfield Form

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dc.authorscopusid57190742211
dc.authorscopusid8240135300
dc.authorscopusid15833929800
dc.authorscopusid8240135400
dc.authorwosidKurt Pehli̇vanoğlu, Meltem/F-5572-2018
dc.authorwosidAkleylek, Sedat/D-2090-2015
dc.contributor.authorPehlivanoglu, Meltem Kurt
dc.contributor.authorSakalli, Fatma Buyuksaracoglu
dc.contributor.authorAkleylek, Sedat
dc.contributor.authorSakalli, Muharrem Tolga
dc.contributor.authorIDKurt Pehli̇vanoğlu, Meltem/0000-0002-7581-9390
dc.contributor.authorIDBüyüksaraçoğlu Sakallı, Fatma/0000-0002-6100-6655
dc.contributor.authorIDAkleylek, Sedat/0000-0001-7005-6489
dc.date.accessioned2025-12-11T01:24:34Z
dc.date.issued2023
dc.departmentOndokuz Mayıs Üniversitesien_US
dc.department-temp[Pehlivanoglu, Meltem Kurt] Kocaeli Univ, Fac Engn, Dept Comp Engn, TR-41001 Kocaeli, Turkiye; [Sakalli, Fatma Buyuksaracoglu; Sakalli, Muharrem Tolga] Trakya Univ, Fac Engn, Dept Comp Engn, TR-22020 Edirne, Turkiye; [Akleylek, Sedat] Ondokuz Mayis Univ, Cyber Secur & Informat Technol Res & Dev Ctr, TR-55270 Samsun, Turkiye; [Akleylek, Sedat] Ondokuz Mayis Univ, Dept Comp Engn, TR-55270 Samsun, Turkiye; [Akleylek, Sedat] Univ Tartu, Inst Comp Sci, EE-51009 Tartu, Estoniaen_US
dc.descriptionKurt Pehli̇vanoğlu, Meltem/0000-0002-7581-9390; Büyüksaraçoğlu Sakallı, Fatma/0000-0002-6100-6655; Akleylek, Sedat/0000-0001-7005-6489en_US
dc.description.abstractMaximum Distance Separable (MDS) matrices are used as the main component of diffusion layers in block ciphers. MDS matrices have the optimal diffusion properties and the maximum branch number, which is a criterion to measure diffusion rate and security against linear and differential crypt analysis. However, it is a challenging problem to construct hardware-friendly MDS matrices with optimal or close to optimal circuits, especially for involutory ones. In this paper, we consider the generalized subfield construction method from the global optimization perspective and then give new 4 x 4 involutory MDS matrices over F-2(3) and F-2(5). After that, we present 1,176 (= 28 x 42) new 4 x 4 involutory and MDS diffusion matrices by 33 XORs and depth 3. This new record also improves the previously best-known cost of 38 XOR gates.en_US
dc.description.sponsorshipTUBITAK [2219]en_US
dc.description.sponsorshipThe work of Meltem Kurt Pehlivanoglu was supported in part by TUBITAK through Postdoctoral Research Program under Grant 2219en_US
dc.description.woscitationindexScience Citation Index Expanded
dc.identifier.doi10.1109/ACCESS.2023.3262924
dc.identifier.endpage32715en_US
dc.identifier.issn2169-3536
dc.identifier.scopus2-s2.0-85151569695
dc.identifier.scopusqualityQ1
dc.identifier.startpage32708en_US
dc.identifier.urihttps://doi.org/10.1109/ACCESS.2023.3262924
dc.identifier.urihttps://hdl.handle.net/20.500.12712/43510
dc.identifier.volume11en_US
dc.identifier.wosWOS:000967455400001
dc.identifier.wosqualityQ2
dc.language.isoenen_US
dc.publisherIEEE-Inst Electrical Electronics Engineers Incen_US
dc.relation.ispartofIEEE Accessen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectCiphersen_US
dc.subjectOptimizationen_US
dc.subjectMeasurementen_US
dc.subjectCostsen_US
dc.subjectCodesen_US
dc.subjectMatricesen_US
dc.subjectLogic Gatesen_US
dc.subjectCryptographyen_US
dc.subjectDiffusion Layersen_US
dc.subjectGeneralized Subfield Constructionen_US
dc.subjectGlobal Optimizationen_US
dc.subjectLightweight Cryptographyen_US
dc.subjectMDS Matricesen_US
dc.titleOn the Construction of New Lightweight Involutory MDS Matrices in Generalized Subfield Formen_US
dc.typeArticleen_US
dspace.entity.typePublication

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