(4) Elgamal public key cryptosystem (encryption): Start with the prime p = 17 and the primitive root g = 3. Alice sends Bob the public key A = 5. Bob wants to send the message m = 13 to Alice. Bob chooses the random element k = 2. Using the Elgamal public key cryptosystem, compute the pair of numbers (C₁, C₂) that Bob sends to Alice. Note: Do not work out how Alice computes the plaintext message m from the ciphertext (C₁, C₂).

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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(4) Elgamal public key cryptosystem (encryption):
Start with the prime p = 17 and the primitive root g = 3.
Alice sends Bob the public key A = 5.
Bob wants to send the message m = 13 to Alice.
Bob chooses the random element k = 2.
Using the Elgamal public key cryptosystem, compute the pair of numbers
(C₁, C₂) that Bob sends to Alice.
Note: Do not work out how Alice computes the plaintext message m from
the ciphertext (C₁, C₂).
Transcribed Image Text:(4) Elgamal public key cryptosystem (encryption): Start with the prime p = 17 and the primitive root g = 3. Alice sends Bob the public key A = 5. Bob wants to send the message m = 13 to Alice. Bob chooses the random element k = 2. Using the Elgamal public key cryptosystem, compute the pair of numbers (C₁, C₂) that Bob sends to Alice. Note: Do not work out how Alice computes the plaintext message m from the ciphertext (C₁, C₂).
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