Thanks for sharing !! Very difficult to read through and way to much math overhead for my non-educated brain… However, I like reading those kind of statements:
Similarly, regarding the NIST curves, NIST wrote the following in 2019 [183]:
NIST is not aware of any vulnerabilities to attacks on these curves when
they are implemented correctly and used as described in NIST standards
and guidelines.
Regarding better curves, [183] wrote that “their designers claim that they offer
better performance and are easier to implement in a secure manner”; [183] did
not cite any of the literature demonstrating the performance benefits and ease of
secure implementation of these curves, and did not mention the likelihood and
consequences of insecure implementation of the NIST curves.
NSA: “Trust me bro”
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