Question 5. [RSA and El Gamal algorithms) Your calculations should be shown. [16 marks] 1- In Elgamal cryptosystem, given the prime number 31, and 3 as a primitive root of that prime. Alice selects 10 as her private key, then the public key of Alice is [4 marks) 2- In Elgamal cryptosystem, given the prime number 31 and 3 as a primitive root for the prime. Alice selects 10 as her private key and Bob selects 7 as his private key. Alice uses 00 to 25 for encoding characters and encryption. The plaintext for the received char 20 is [4 marks] o