discrete log in two dimension

asked 1 year ago

matthew gravatar image

updated 1 year ago

dan_fulea gravatar image

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.

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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?

dan_fulea gravatar imagedan_fulea ( 1 year ago )