Why both X25519+Kyber512 and P256+Kyber512?

Note that Anything+Kyber512, in particular X25519+Kyber512, will be FIPS
certifiable after NIST standardized Kyber512.*

Best,

 Bas

—
* With the tiny caveat that apparently the order of the shares does matter
atm. [insert facepalm.]



> - X25519 + Kyber512
> - P256 + Kyber512
> - X448 + Kyber768
> - P384 + Kyber768
>
> I don't see the point of including finite field groups.  I would hope to
> hold off on national curves, such as Brainpool and the GOST curves
> (although they're likely to be forced on us anyways).  I personally see
> Kyber1024 as overkill (of course, if you disagree, please say so).
>
> Of course, it's possible that NIST will tweak the definition of Kyber;
> that's just a possibility we'll need to live with (and wouldn't change what
> hybrid combinations we would initially define)
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