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Elliptic-curve cryptography
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=== Cryptographic schemes === Several [[discrete logarithm]]-based protocols have been adapted to elliptic curves, replacing the group <math>(\mathbb{Z}_{p})^\times</math> with an elliptic curve: * The [[Elliptic-curve Diffie–Hellman]] (ECDH) key agreement scheme is based on the [[Diffie–Hellman]] scheme, * The Elliptic Curve [[Integrated Encryption Scheme]] (ECIES), also known as Elliptic Curve Augmented Encryption Scheme or simply the Elliptic Curve Encryption Scheme, * The [[Elliptic Curve Digital Signature Algorithm]] (ECDSA) is based on the [[Digital Signature Algorithm]], * The deformation scheme using Harrison's p-adic Manhattan metric, * The [[EdDSA|Edwards-curve Digital Signature Algorithm]] (EdDSA) is based on [[Schnorr signature]] and uses [[twisted Edwards curve]]s, * The [[ECMQV]] key agreement scheme is based on the [[Menezes–Qu–Vanstone|MQV]] key agreement scheme, * The [[Implicit certificate|ECQV]] implicit certificate scheme.
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