Comment by palmotea
3 hours ago
> My gut is telling me pushing security model to hashes seems like a far far worse bet if you are worried about advances in maths.
Aren't hashes far less reliant on math tricks?
My understanding is the problem with public-key crypto is it extremely reliant on a single math trick (e.g. the factoring problem), so if it turns out that trick was weaker than was assumed, the whole thing crumbles.
Yes. Symmetric cryptography doesn't generally rely on the existence of "trap doors", so there's no direct relationship in any sense between the inputs and the outputs. Huge portions of the cryptographic attack surface are foreclosed in these constructions.