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= Consider the elliptic curve y = x3 +3 x + 1 over 27. Assume that G=(3, 3) and Bob's private key is ng =
= Consider the elliptic curve y = x3 +3 x + 1 over 27. Assume that G=(3, 3) and Bob's private key is ng = 4. A. Compute all the points over the curve. B. What is Bob's public key PB? C. Alice wants to encrypt message Pm (2, 1) to Bob and chooses the random value k 3. What is the ciphertext Cm? D. Decrypt the ciphertext (5, 1), (2, 6)) using Bob's private key. = - = Consider the elliptic curve y = x3 +3 x + 1 over 27. Assume that G=(3, 3) and Bob's private key is ng = 4. A. Compute all the points over the curve. B. What is Bob's public key PB? C. Alice wants to encrypt message Pm (2, 1) to Bob and chooses the random value k 3. What is the ciphertext Cm? D. Decrypt the ciphertext (5, 1), (2, 6)) using Bob's private key. =
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