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About: Jacobian curve     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:WikicatEllipticCurves, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)

Type: yago:Abstraction100002137yago:Attribute100024264yago:Curve113867641yago:Line113863771yago:Shape100027807yago:WikicatEllipticCurves New Facet based on Instances of this Class

In mathematics, the Jacobi curve is a representation of an elliptic curve different from the usual one defined by the Weierstrass equation. Sometimes it is used in cryptography instead of the Weierstrass form because it can provide a defence against simple and differential power analysis style (SPA) attacks; it is possible, indeed, to use the general addition formula also for doubling a point on an elliptic curve of this form: in this way the two operations become indistinguishable from some side-channel information. The Jacobi curve also offers faster arithmetic compared to the Weierstrass curve.