The first problem is creating a passworld you can actualy remeber that can't be broken by brute force.
I have no problems remembering a random 25 character long password that only had uppercase, lowercase, and numbers. That is 6225, or 6.5x1044 possible combinations. Nobody is brute forcing that.
The other problem is that it's triesome so you start encrpting only the most important stuff and the less significant stuff grows more significant as it's size increases.
Just encrypt the whole drive, OS included. Everything that is written is encrypted on the fly so there is literally no more work to be done besides entering the password on boot. Turn it off when you're done, and nobody is getting in.
There are theoretical ways of putting pretty secure backdoors into encryption schemes (the Clipper chip was meant to be this but failed).
Nothing up my sleeve numbers are meant to prevent some of the more dirrect aproaches.
On an algorithm that is open for the world to see? Without anybody ever finding out? I doubt it.
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