Currently my knowledge about Elliptic curve is quite limited to the textbook and I don't know how a practical Elliptic curve cryptosystem works.
I read an example about key exchange using Elliptic curves. And I am wondering what is the public information (key) of a practical Elliptic curve cryptosystem.
First, the equation of the Elliptic curve should be public. How about other parameters? Such as the order of the curve ( number of points on the curve), the generator point of the curve and so on.
Can you give me a good reference about how a practical Elliptic curve cryptosystem works?
Thanks in advance.