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darconeous/Curve25519-Curve448-Terminology.md

Last active February 9, 2020 00:41
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Curve25519/Curve448 Terminology
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Curve25519-Curve448-Terminology.md

Curve25519/Curve448 Terminology

Curve25519: A well-known Montgomery curve designed for ECC at a 128-bit security level.

X25519: The name of the scalar-point multiplication function for points on Curve25519 when performing ECDH. It is also commonly used as a shorthand for ECDH-using-Curve25519.

EdDSA: A digital signature algorithm based on twisted Edwards curves.

Edwards25519: A well-known twisted Edwards curve that is birationally equivalent to Curve25519.

Ed25519: The EdDSA signature scheme using SHA-512 and Edwards25519.

Curve448/X448/Edwards448/Ed448: Functional equivalent of above "25519" definitions except using a curve with 224-bit security level.

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