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Problem 1 (8pts): Consider a knapsack cryptosystem using: - SIK=[2,4,8,16,32,64,127,254,509,1017] - multiplier m=790 - modulus n=2039 Answer the following questions. Show All the steps. A)

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Problem 1 (8pts): Consider a knapsack cryptosystem using: - SIK=[2,4,8,16,32,64,127,254,509,1017] - multiplier m=790 - modulus n=2039 Answer the following questions. Show All the steps. A) What is the private key? B) What is the corresponding public key? C) Given a message M=1011011010 (in binary), then find the ciphertext C (in decimal). D) Given a ciphertext C=1631 (in decimal), then find the corresponding plaintext P (in binary)

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