Consider the elgamal scheme (described in section 10.2) with q = 11 and α = 6. a has a private key xa = 2 and public key ya = 3.

(a) b choses the random integer k = 3, and the plaintext b wants to encrypt is m = 6. show what will be calculations done by b to get the value of the ciphertext c1, c2.

(b) show what will be calculations done by a to recover the plaintext m from c1, c2. note that you first need to figure out what is the value of k.