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

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dc.authoridAkleylek, Sedat/0000-0001-7005-6489
dc.authoridKURT PEHLİVANOĞLU, MELTEM/0000-0002-7581-9390
dc.authorwosidAkleylek, Sedat/N-2620-2019
dc.authorwosidKURT PEHLİVANOĞLU, MELTEM/F-5572-2018
dc.contributor.authorPehlivanoglu, Meltem Kurt
dc.contributor.authorSakalli, Fatma Buyuksaracoglu
dc.contributor.authorAkleylek, Sedat
dc.contributor.authorSakalli, Muharrem Tolga
dc.date.accessioned2024-06-12T10:56:33Z
dc.date.available2024-06-12T10:56:33Z
dc.date.issued2023
dc.departmentTrakya Üniversitesien_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.identifier.doi10.1109/ACCESS.2023.3262924
dc.identifier.endpage32715en_US
dc.identifier.issn2169-3536
dc.identifier.scopus2-s2.0-85151569695en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage32708en_US
dc.identifier.urihttps://doi.org/10.1109/ACCESS.2023.3262924
dc.identifier.urihttps://hdl.handle.net/20.500.14551/19829
dc.identifier.volume11en_US
dc.identifier.wosWOS:000967455400001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
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.subjectDiffusion Layersen_US
dc.subjectGenerateen_US
dc.titleOn the Construction of New Lightweight Involutory MDS Matrices in Generalized Subfield Formen_US
dc.typeArticleen_US

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