Some ECC Types and Operations

We have a number of possible types of elliptic curve methods. These have a field (the prime number used), the order (the number of elliptic curve points), an a value, a b value, and a generator point (G). For a Weierstrass curve the standard form is y²=x³+ax+b (such as secp256k1). With a twisted Edwards curve (such as Ed25519) we have the form of ax²+y²=1+dx²y². A Montgomery curve has the form of by²=x³+ax²+x.

--

--

Get the Medium app

A button that says 'Download on the App Store', and if clicked it will lead you to the iOS App store
A button that says 'Get it on, Google Play', and if clicked it will lead you to the Google Play store