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sage code for Elliptic curve scalar multiplication

asked 2016-12-14 05:53:20 +0200

santoshi gravatar image

How to find Q=KP when point P is given and integer k is given for elliptic curve.

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answered 2016-12-14 09:13:58 +0200

tmonteil gravatar image

updated 2016-12-14 10:55:09 +0200

Just do the multiplication:

sage: E = EllipticCurve(GF(144169),j=1728)
sage: P = E.random_element()
sage: P
(54486 : 126410 : 1)
sage: 3*P
(116984 : 134312 : 1)
sage: 3*P - P - P - P
(0 : 1 : 0)
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answered 2016-12-14 14:52:30 +0200

Vova gravatar image

Yes, if the values P (point) and scalar k are already defined, just do k*P Note: k can be either predefined, or just be any integer that you type in.

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Asked: 2016-12-14 05:53:20 +0200

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Last updated: Dec 14 '16