# Algorithm to compute DLOG for elliptic curve $E(F_p)$ with order p

I was reading about elliptic curves in this pdf. Page 55 of the pdf states that if number of points on elliptic curve #$$E(F_p) = p$$, then there exists a p-adic logarithmic map that homomorphically maps points in $$E(F_p)$$ to $$F_p$$. Now, solving for discrete logarithm on $$E(F_p)$$ reduces to solving for discrete logarithm in $$F_p$$.

Can anyone please explain what is p-adic logarithmic map and how to compute it? Does the technique extend to $$E(F_{p^k})$$?

• For future reference: In SO, cross-posting on two different sites is not a good etiquette. Select one, and give the community a chance to answer. – kelalaka Dec 2 '18 at 11:15
• Sorry about that. Didn't know where to post. Won't repeat it again. – satya Dec 2 '18 at 13:47