NIST standardized 5 elliptic curves (P-192, P-224, P-256, P-384, P-521) for prime fields. When I looked into openssl, these curves are named as prime192v1, secp224r1, prime256v1, secp384r1, secp521r1. Is there any reason why the name convention was different for different curves?
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The good thing about standards is that there are so many to choose from.
The P-192, P-224, P-256, P-384 and P-521 names come from the FIPS DSS (Latest version of which is FIPS 186-4):
https://nvlpubs.nist.gov/nistpubs/FIPS/NIST.FIPS.186-4.pdf
The secp224r1, secp384r1 and secp521r1 names come from SEC2:
https://www.secg.org/sec2-v2.pdf
The prime192v1 and prime256v1 names come from RFC3279:
https://www.ietf.org/rfc/rfc3279.txt
They're all the same curves though.
Matt Caswell
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