Elgamal public key cryptosystem (encryption): Start with the prime p = 13 and the primitive root g = 2. Alice sends Bob the public key A = 3. Bob wants to send the message m = 10 to Alice. Bob chooses the random element k = 3. 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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Chapter2: Second-order Linear Odes
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4) Elgamal public key cryptosystem (encryption):
Start with the prime p = 13 and the primitive root g = 2.
Alice sends Bob the public key A = 3.
Bob wants to send the message m = 10 to Alice.
Bob chooses the random element k = 3.
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 = 13 and the primitive root g = 2. Alice sends Bob the public key A = 3. Bob wants to send the message m = 10 to Alice. Bob chooses the random element k = 3. 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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