A message has just appeared on pqc-forum claiming yet another attack
improvement against lattices---improving what are called "dual" attacks
and breaking earlier claims about those attacks not working; concretely,
reducing "the security of Kyber-512/768/1024 by approximately
3.5/11.9/12.3 bits" below Kyber's security goals in the same cost model
used in the round-3 Kyber submission.

For comparison, the round-3 Kyber security analysis had claimed that
"primal" attacks for round-3 Kyber-512 (after patches to Kyber-512 in
response to earlier security issues) were ~10 bits above the goals, and
that dual attacks were "significantly more expensive" than that.

The "significantly" slowdown wasn't quantified, so the reader is left
not even knowing how much improvement there has been. Did these 5 years
of public attack development reduce the costs of Kyber-512 dual attacks
by 20 bits? 30 bits? As for the future, how much farther will the cliff
crumble? We don't know. Continued excitement for researchers! Lattice
attacks today are far less stable than ECC attacks were two decades ago.

To be clear, I'm not opposing efforts to roll out post-quantum systems:
on the contrary, we have to _try_ to stop quantum attacks. I'm simply
saying that we shouldn't be ripping out seatbelts.

---D. J. Bernstein

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