Algorithm 1: Key Generation

Receiver establishes Elliptic curve parameters: $\left(Fp\right)=\{a,b,p,G\}$;

Choose a private key nB in the range: $\{1,p-1\}$;

Find the public key: PB = nBG point multiplication over the curve;

Publish the public key PB and the curve parameters $\left(Fp\right)=\{a,b,p,G\}$;

Sender gets the public key of receiver $PB$ along with associated curve parameters;

Sender chooses a private key $nA$ in the range: $\{1,p-1\}$;

Sender computes his public key as $PA=nAG$;

The shared secret key $\left(SSK\right)$ as computed by the sender will be:

$\left(SSK\right)=nAPB=nAnBG=(x,y)$;