Problem
1. Briefly explain the idea behind ECC.
a. What is the one-way function in this system?
b. What is the trapdoor in this system?
c. Define the public and private keys in this system.
d. Describe the security of this system.
2. Define elliptic curves and explain their applications in cryptography. .-
3. Define the operation used in the abelian group made of points on an elliptic curve.