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More secure curve than Curve25519

Çağlar Arlı      -    16 Views

More secure curve than Curve25519

As far as I know, Curve25519 offers "only" a security level equal to an 128bit symmetric cipher. I'd like to know if there are new (not NIST) curves, which provide a security-level comparable to a 256bit cipher AND already used by some applications?

As far as I know, there are curves like E-521 or M-511 which have a very high security margin, but I don't know any implementation which is currently using them.

(Btw., I know that 128bit is considered secure, but it seems a little bit weird that we often use 256bit symmetric ciphers combined with 4K-RSA or an 256bit curve.)