Consider Elliptic curve with p = 59, A = 1, B= 0, P = (25,30) and Q=(35,31).

So I tried to solve this using MOV attack.

The torsion point for them E[5] is R(-25,30i) where is sqroot -1

Chosen two points (40,54) and (48+55i,28+51i)

So calculated weil pairing e(P,R) which is (46+i56) and e(Q,R) is (42+i19)

Now my problem is how do I try index calculus method on these complex numbers. Can any body help me to solve this.


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