Alice $(A)$ and Hob$(B)$ use ElGamal encryption system with public bey parameters; $q=29,g=2.$ Alice chooses the secret key, $x_A=5.$ Bob chooses the random integer $k=8,$ and wants to encrypt the message $m=15.$ Compute $C=(C_1,C_2).$ Note: $1.$ To be fully graded, provide a detailed solution with all computations included. $2.$ Feel free to make assumptions for any necessary values not explienly provided in the question.

Note: provide a handwritten, detailed solution with all computations