Finite field subtraction, i.e. additive inverse of a geometric point
I hope someone can help me with this.
Let's imagine I want to perform the following subtraction operation -
(7, 1) - (2, 3)
Both are geometric points on an elliptic curve.
As far as I know, finite field subtraction is simply finite field addition using the additive inverse of the bit I want to subtract, i.e. (7, 1) + [additiveInverse(2, 3)]
Is this correct?
Does anyone know how I can calculate the additive inverse of a point?
Is it simply (-2, -3)?
Any help greatly appreciated.