I have started learning about Elliptic Curve Cryptography (ECC). Since the key size required in ECC is relatively smaller than the key size in RSA (to provide the same encryption strength), I wonder whether the smaller key size of ECC makes it vulnerable to brute force attack. Does it?
I'm not very knowledgeable about the ways in which a key can be cracked. But, basically, fewer bits means the number of possibilities can be more quickly guessed or tried!