Cryptography, Blockchain, Ethereum, ICO, Bitcoin.
Unfortunately, there is an attack (called Number Field Sieve) on both RSA and ElGamal on 𝔽p that yield a solution in √⁴p steps, forcing the use of 1024/2048 bits length keys for those schemes. As we do not know such an attack for ElGamal on Elliptic Curve, Elliptic Curve allows the use of much