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EllipticCurves :: EllPoint + EllPoint

EllPoint + EllPoint

Synopsis

Description

Computes the sum of two points.

i1 : E=ellCurve(3,8,GF(13))

o1 = Elliptic Curve defined by Y^2 = X^3 + 3 X + (-5)( over(GF 13 .))

o1 : EllipticCurve
i2 : P=ellPoint({1,5,1},E)

o2 = Point ({1, 5, 1}( on the (Elliptic Curve defined by Y^2 = X^3 + 3 X + (-5)( over(GF 13 .)))))

o2 : EllPoint
i3 : Q=ellPoint({2,3,1},E)

o3 = Point ({2, 3, 1}( on the (Elliptic Curve defined by Y^2 = X^3 + 3 X + (-5)( over(GF 13 .)))))

o3 : EllPoint
i4 : P+Q

o4 = Point ({1, -5, 1}( on the (Elliptic Curve defined by Y^2 = X^3 + 3 X + (-5)( over(GF 13 .)))))

o4 : EllPoint