Parameters of the Fastest Cryptographically Strong Twisted Edwards Curves

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dc.contributor.authorBessalov, A.
dc.contributor.authorDykyi, V.
dc.contributor.authorMalyshko, A.
dc.contributor.authorTsygankova, O.
dc.contributor.authorYadukha, D.
dc.date.accessioned2020-10-12T09:12:58Z
dc.date.available2020-10-12T09:12:58Z
dc.date.issued2019
dc.description.abstractenAn overview of twisted Edwards curves is given. The complexity of group operations for twisted Edwards curves is estimated. A computation minimization method using curve parameters minimum values selection is proposed. The tables of system-wide parameters for the 25 fastest crypto-strong twisted Edwards curves with field modulus lengths of 192, 224, 256, 384 and 521 bits are given.uk
dc.format.pagerangePp. 7-11uk
dc.identifier.citationParameters of the Fastest Cryptographically Strong Twisted Edwards Curves / A. Bessalov, V. Dykyi, A. Malyshko, O. Tsygankova, D. Yadukha // Theoretical and Applied Cybersecurity : scientific journal. – 2019. – Vol. 1, Iss. 1. – Pp. 7–11. – Bibliogr.: 8 ref.uk
dc.identifier.doihttps://doi.org/10.20535/tacs.2664-29132019.1.168696
dc.identifier.urihttps://ela.kpi.ua/handle/123456789/36699
dc.language.isoenuk
dc.publisherIgor Sikorsky Kyiv Polytechnic Instituteuk
dc.publisher.placeKyivuk
dc.sourceTheoretical and Applied Cybersecurity : scientific journal, 2019, Vol. 1, Iss. 1uk
dc.subjecttwisted Edwards curvesuk
dc.subjectcomplete Edwards curvesuk
dc.subjectorder of a curveuk
dc.subjectorder of a pointuk
dc.subjectquadratic residueuk
dc.subjectquadratic nonresidueuk
dc.subjectcomputational complexityuk
dc.subject.udc681.3.06uk
dc.titleParameters of the Fastest Cryptographically Strong Twisted Edwards Curvesuk
dc.typeArticleuk

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Theoretical and Applied Cybersecurity: scientific journal, Vol. 1, No. 1