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Enumeration of Points

In this section the descriptions will refer to a point set H, which is either the H in the signature or the base point set of the elliptic curve E in the signature.

Points(E) : CrvEll -> @ PtEll @
Points(H) : SetPtEll -> @ PtEll @
RationalPoints(E) : CrvEll -> @ PtEll @
RationalPoints(H) : SetPtEll -> @ PtEll @
Returns the set of rational points of the point set H or of the base point set of the elliptic curve E, including the point at infinity.
Random(E): CrvEll -> PtEll
Random(H): SetPtEll -> PtEll
Returns a random rational point of the point set H or of the base point set of the elliptic curve E. Every rational point has a roughly equal chance of being selected, including the point at infinity.
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Version: V2.19 of Wed Apr 24 15:09:57 EST 2013