Question: Question 1 (15%) Using El-Gamal cryptosystem solve the following problems: 1. Encrypt the message M- 30 (i.e. find C-(C1, c) ) using the following parameters:

Question 1 (15%) Using El-Gamal cryptosystem solve the following problems: 1.

Question 1 (15%) Using El-Gamal cryptosystem solve the following problems: 1. Encrypt the message M- 30 (i.e. find C-(C1, c) ) using the following parameters: M: message; y: public key; x: private key; p: prime; k: random; C: cipher 2. Suppose, in the above scenario, you want to sign the message M10. What would be the signature C(C1, C2) for the message M? 3. Verify that the above signature you have found is correct. Question 1 (15%) Using El-Gamal cryptosystem solve the following problems: 1. Encrypt the message M- 30 (i.e. find C-(C1, c) ) using the following parameters: M: message; y: public key; x: private key; p: prime; k: random; C: cipher 2. Suppose, in the above scenario, you want to sign the message M10. What would be the signature C(C1, C2) for the message M? 3. Verify that the above signature you have found is correct

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