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D.12.3.22 isOnCurve

Procedure from library crypto.lib (see crypto_lib).

Usage:
isOnCurve(N,a,b,P);

Return:
1 or 0 (depending on whether P is on the curve or not)

Note:
checks whether P=(P[1]:P[2]:P[3]) is a point on the elliptic curve defined by y^2z=x^3+a*xz^2+b*z^3 over Z/N

Example:
 
LIB "crypto.lib";
isOnCurve(32003,5,7,list(10,16,1));
==> 0