Sophie Schmieg writes:
> From what I have heard from NIST, there are no current plans on
> adding X25519 to the NIST approved curves, mostly in order to encourage
> people to transition to PQC instead of ECC.

Sorry, which document are you referring to? This isn't in line with the
NIST announcement quoted in my email dated 6 Jun 2024 00:14:24 -0000;
it also seems hard to reconcile with the fact that NIST standardized
Curve25519 and Ed25519 as part of updating its digital-signature
standard in 2023. Could it be that you're thinking of the document

   
https://web.archive.org/web/20150815072948/https://www.nsa.gov/ia/programs/suiteb_cryptography/index.shtml

from NSA back in 2015? ("For those partners and vendors that have not
yet made the transition to Suite B algorithms, we recommend not making a
significant expenditure to do so at this point but instead to prepare
for the upcoming quantum resistant algorithm transition.")

> given that P256 has closed formulas these days the implementation
> benefits are on par

"These days"? Lange and I published complete formulas for P-256 in 2009.
See my email dated 3 Jun 2024 12:33:10 -0000 for more on this and on the
implementation benefits of X25519.

---D. J. Bernstein

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