Explain elliptic curve cryptography algorithm in detail with example step by step ?

Elliptic Curve Cryptography Algorithm : in detail with example step by step explanation is as follows.

Algorithm:

Step 1: Start.

Step 2: Encode a plain text message as a point on the curve.

Step 3: Compute/Establish the Public Key and Private Key.

Step 4: Encrypt the message using public key.

Step 5: Decrypt cipher text using the private key.

Step 6: Stop.