There are probably other periods of time when I might have advocated running hybrids of different families of primitives, although I'm not sure that I was ever

There are probably other periods of time when I might have advocated running hybrids of different families of primitives, although I'm not sure that I was ever following the details closely enough to have actually advocated for that. The cool thing is the dramatic security improvements against certain unknown unknowns for approximately linear additional work and space. Seems like a pretty great advantage for the defender, although seriously arguing that quantitatively requires some way to reason about the unknown unknowns (the reductio ad absurdum being that we would need to use every relevant primitive ever published in every protocol¹). I see PQC as somehow very discontinuous with existing cryptography, both in terms of the attacks it tries to mitigate and the methods it uses to resist them. This might be wrong. Maybe it's fair to consider it an evolutionary advance in cryptographic primitive design. The casual argument from ignorance is that lattices are apparently either somewhat harder to understand, or just less-studied overall, than other structures that public-key primitives have been built on, to the extent that we would probably currently not use them at all in practical cryptography if it weren't for the distinctive requirements of resistance to quantum algorithms. I understand that this isn't quantitative or even particularly qualitative (for instance, I don't have any idea of what about lattices is actually harder to understand). Essentially, in this view, we're being forced into using weird esoteric stuff much earlier than we'd like because it offers some hope of defending against other weird esoteric stuff. Perhaps this is reinforced by, for example, another LWE submission having been called "NewHope", connoting to me that LWE was thought even by many of its advocates to offer urgently-needed "hope", but maybe not "confidence". I'd like not to have to have that argument only in terms of vibes (and DJB does have some more concrete arguments that the security of SIKE was radically overestimated, while the security of LWE methods was moderately overestimated, so we need to figure out how to model how much of the problem was identified by the competition process and how much may remain to be discovered). I guess I just need to learn more math! ¹ I think I remember someone at CCC saying with respect to the general risk of cryptographic backdoors that we should use hybrids of mechanisms that were created by geopolitical rivals, either to increase the chance that at least one party did honest engineering, or to decrease the chance that any party knows a flaw in the overall system! This is so bizarre and annoying as a pure matter of math or engineering, but it's not like DJB is just imagining the idea that spy agencies sometimes want to sabotage cryptography, or have budgets and staff dedicated to doing so.