Elliptic Curve Cryptography

Elliptic curve cryptography (ECC) is a phrase used to describe a suite of cryptographic primitives and protocols with security based on special versions of the discrete logarithm problem. ECC is based on different numbers and does not use the numbers modulo $p$. These numbers are associated with mathematical objects called elliptic curves. There are rules for adding and computing multiples of these numbers, just as for modulo $p$. We won’t concern ourselves with any of the details of elliptic curves or how to combine the points on such a curve.