Question: ( 7 ) ElGamal public key cryptosystem ( decryption ) : Start with the prime p = 1 3 and the primitive root g =

(7) ElGamal public key cryptosystem (decryption):
Start with the prime p=13 and the primitive root g=2.
Alice's secret key is a=4.
Alice sends Bob the public key A=3.
Bob encrypts the message m and sends the pair of numbers (8,11) to Al-
ice. Using ElGamal public key decryption, Alice computes the plaintext
message m from the ciphertext (8,11). What is the number m that Alice
obtains?
 (7) ElGamal public key cryptosystem (decryption): Start with the prime p=13

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