Hello,

I need a math clarification please.

Since the points on the Elliptic Curve (secp256k1) form a group, we can apply the laws of addition, substruction and multiplication.

This require a zero.

I checked that -1*G+1*G=N*G (with N=0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141).

Therefore, could we consider N*G as the zero ?

If yes, then why -2*G+2*G = M such as there seems to be no link between M and N.

Generaly speaking, is there any link between (-1*G+1*G) and (-k*G+k*G) ?