000127594 001__ 127594 000127594 005__ 20230911114511.0 000127594 0247_ $$2doi$$a10.1016/j.ffa.2021.101810 000127594 0248_ $$2sideral$$a121916 000127594 037__ $$aART-2021-121916 000127594 041__ $$aeng 000127594 100__ $$0(orcid)0000-0002-6750-8971$$aAvendaño, Martín$$uUniversidad de Zaragoza 000127594 245__ $$aA structural attack to the DME-(3,2,q) cryptosystem 000127594 260__ $$c2021 000127594 5060_ $$aAccess copy available to the general public$$fUnrestricted 000127594 5203_ $$aWe present a structural attack on the DME cryptosystem with parameters . The attack recovers 10 of the 12 coefficients of the first linear map. We also show that, if those 12 coefficients were known, the rest of the private key can be efficiently obtained by solving systems of quadratic equations with just two variables. 000127594 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E22-20R$$9info:eu-repo/grantAgreement/ES/MICINN/MTM2016-76868-C2-2-P 000127594 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/ 000127594 590__ $$a1.655$$b2021 000127594 591__ $$aMATHEMATICS$$b60 / 333 = 0.18$$c2021$$dQ1$$eT1 000127594 591__ $$aMATHEMATICS, APPLIED$$b106 / 267 = 0.397$$c2021$$dQ2$$eT2 000127594 592__ $$a1.387$$b2021 000127594 593__ $$aAlgebra and Number Theory$$c2021$$dQ1 000127594 593__ $$aTheoretical Computer Science$$c2021$$dQ1 000127594 593__ $$aApplied Mathematics$$c2021$$dQ1 000127594 594__ $$a2.6$$b2021 000127594 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000127594 700__ $$0(orcid)0000-0001-9744-5732$$aMarco, Miguel 000127594 7102_ $$12006$$2440$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Geometría y Topología 000127594 773__ $$g71 (2021), 1-13$$pFinite fields their appl.$$tFINITE FIELDS AND THEIR APPLICATIONS$$x1071-5797 000127594 8564_ $$s133877$$uhttps://zaguan.unizar.es/record/127594/files/texto_completo.pdf$$yPostprint 000127594 8564_ $$s1541031$$uhttps://zaguan.unizar.es/record/127594/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000127594 909CO $$ooai:zaguan.unizar.es:127594$$particulos$$pdriver 000127594 951__ $$a2023-09-11-11:00:31 000127594 980__ $$aARTICLE