G(Gx, Gy) - which is also called a generator - is a point on an elliptic curve (EC) on a finite field. Final field size = p- primary module.
Say we have EC (Fp): y**2 = x**3 + ax + b (mod p)
How should a point be selected G?
Do I need to find all the points on EC (Fp), and then select one of them?
Or Gx\ Gymust have something specific?
The only thing I know: Gorder should be a prime number.
PS Sorry for my English and thanks.
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