discrete log in two dimension
I want to calculate a discrete log problem on elliptic curves. P and Q are points of order D in elliptic curve formed a basis of E[D], and R is a point of order D. I want to calculate a,b such that aP+bQ=R.
Just loop over all integer a,b in [0,D)2, compute aP+bQ and check if the result is ±R. Do we have a special case to solve?