In Elliptic Curve ElGamal, why are a=b=1 always legal for
primes whose lengths are no shorter than 11(2) bits long?
Is there any reason why the Point at Infinity can always be encoded as (0,0)?
Lastly, why unlike basic ElGamal, is (O,O) a legal message, where O is point at infinity?
I'm stuck with proving them. If you have any idea, please let me know it.