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There are several different standards covering selection of curves for use in elliptic-curve cryptography (ECC):
ANSI X9.62 (1999).
IEEE P1363 (2000).
SEC 2 (2000).
NIST FIPS 186-2 (2000).
ANSI X9.63 (2001).
Brainpool (2005).
NSA Suite B (2005).
ANSSI FRP256V1 (2011). 