You mean that reduction is purely theoretical because of 'birthday paradox', right?
i am trying to point out that the reduction happened because this is a puzzle not a truly random private key.
I agree, but MrFreeDragon wrote "Do the weakness #2 (revealed public key) no need to brute all 116 bits (2^116), and only square root of total length is enough --> 58 bits (2^58)."
and this is part I do not understand.