6. In the ElGamal cryptosystem, Alice and Bob use p= 17 and a = 3. Bob chooses his secret to be a = 6, so ßB = 15. Alice sends the ciphertext (r, t) = (11, 11). Determine the plain text m. 7. Alice and Bob agree to use the prime p exchange. Alice sends Bob the value A = 1373 and the base g = 2 for a Diffie–Hellman key 974. Bob asks your assistance, so you tell him to use the secret exponent b = 871. What value B should Bob send to Alice, and what is their secret shared value? Can you figure out Alice's secret exponent?

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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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6. In the ElGamal cryptosystem, Alice and Bob use p= 17 and a = 3. Bob chooses his secret to
be a = 6, so ßB = 15. Alice sends the ciphertext (r, t) = (11, 11). Determine the plain text m.
7. Alice and Bob agree to use the prime p
exchange. Alice sends Bob the value A
= 1373 and the base g = 2 for a Diffie–Hellman key
974. Bob asks your assistance, so you tell him to
use the secret exponent b = 871. What value B should Bob send to Alice, and what is their
secret shared value? Can you figure out Alice's secret exponent?
Transcribed Image Text:6. In the ElGamal cryptosystem, Alice and Bob use p= 17 and a = 3. Bob chooses his secret to be a = 6, so ßB = 15. Alice sends the ciphertext (r, t) = (11, 11). Determine the plain text m. 7. Alice and Bob agree to use the prime p exchange. Alice sends Bob the value A = 1373 and the base g = 2 for a Diffie–Hellman key 974. Bob asks your assistance, so you tell him to use the secret exponent b = 871. What value B should Bob send to Alice, and what is their secret shared value? Can you figure out Alice's secret exponent?
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