Blumenthal, Uri - 0553 - MITLL writes:
> Given how the two (KEM and DSA) are used, and what threats may exist
> against each of them, I think it’s perfectly fine to use PQ instead of
> ECC+PQ here.

Hmmm. I don't see where your previous anti-hybrid argument
(https://groups.google.com/a/list.nist.gov/g/pqc-forum/c/rL9T8mpAkMs/m/i3QKJYZbEAAJ)
distinguishes encryption from signatures.

Are you saying that you're now in favor of hybrids for encryption but
not for signatures? What's the relevant difference?

On the pro-hybrid side, here's the common-sense argument again, where I
again don't see a difference between signatures and encryption:

   * With ECC+PQ encryption, an attacker with a PQ break still has to
     break the ECC encryption. This makes ECC+PQ less risky than PQ for
     encryption.

   * With ECC+PQ signatures, an attacker with a PQ break still has to
     break the ECC signatures. This makes ECC+PQ less risky than PQ for
     signatures.

See also https://blog.cr.yp.to/20240102-hybrid.html for a more detailed
analysis, again covering both cases. Of course, the concrete examples
(such as SIKE) vary between signatures and encryption.

---D. J. Bernstein

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