Search the Internet and learn about the Elliptic Curve Cryptography (ECC).

Then, based on the RSA and ECC answer the following questions:

8) Having k (a rivate key) in ECC and the starting point P on the curve, write a simple program (as a pseudocod or any programming language) to efficiently (i.e. in terms of computability) calculate the public key. Again, in your pseudocode or program assume the operation "." (in some documents it is shown by " ++ ) has been defined so you can simply apply it on two points on the curve. [6 marks]