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How difficult is it to exploit? Ie. how much processing power does it take to create the key pair with an identical public key? Or perhaos those are already for sale?
It takes the same amount of time as to generate a key normally. So microseconds. Maybe milliseconds.
Would you mind ELI5 or link to an article which isn't crap? To me it sounds a bit like bruteforcing a private key from a public one.
The public key is the curve base point times the private key. This is secure because multiplication in ECC is like a hash, it's not easily invertible. If you can change the base point, you just set the private key to 1 and the base point to whatever public key you want.
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