Is there any possible way to hide the group order of a curve? Because the only way I can think of solving DLP in polynomial time is by knowing the group order.
Now, you as experts, have any solution to offer in order to obfuscate N, the group order, is it mathematically possible to have public key cryptography without knowing the order of the curve?
Nothing. Anybody finding it would keep silent. The incentive to not spill out the secret is just too big.
I know that, what if you find it and someone else finds it too? How can you be sure they won't destroy everything by exploiting it? What is the most responsible thing to do? Considering the fact that you can't trust anyone.
Going public with it would also cause harm, the only way possible would be to prepare people for a big change, I want to know, how we can do that?