O.E. Petrenko The methods of calculation the order elliptic curves with help of lifting were considered. The analyses these methods Computational complexity of elliptic curve order was made. The method of calculation the order elliptic curves reduced complexity is proposed.
elliptic curve, order of elliptic curve, base point
"Porivnialnyi analiz metodiv obchyslennia poriadku eliptychnykh kryvykh za dopomohoiu pidniattia, shcho vyznacheni nad polem F(2n)" ,
Information Processing Systems,