This is a technical but quite informative article, nominally about which elliptic curves have good security properties, but also discusses the intentions behind using EC instead of older systems like RSA (basically, EC is safer against some known classes of attacks).
Posting partly because EC vs RSA came up here a few days ago.
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:
NSA: “Trust me bro”
See also Section 7.3 and Appendix C (and the BADA55 Crypto paper that the email in Appendix C refers to).
Bitcoin uses NIST P256 iirc, so you can possibly turn implementation mistakes into cash. :)