Consider the following 3-person encryption scheme based on RSA. L (can be trusted in this case)...

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Consider the following 3-person encryption scheme based on RSA.L (can be trusted in this case) generates two large primes p and q,calculates both n and φ(n). L also chooses k1, k2 and k3 such thatGCD(ki,n) = 1 and k1k2k3 ≡ 1 mod φ(n). Keys are securelydistributed to three others as follows:

G:

J: < n, k2, k3 >

Z: < n, k3, k1 >

Answer the following questions.

(a) G has a message M1 for J. Give the encryption function for Gas well as the decryption function for J, so that the message won’tbe seen by anyone else.(Detailed steps)

(b) J has a message M2 for both G and Z. Give the encryptionfunction for J, as well as decryption functions for both G and Z,so that the message won’t be seen by any other person.(Detailedsteps)

Answer & Explanation Solved by verified expert
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Given that k1mk2 and k3 are such that gcdkin1 and since a G has a message M1 for JEncryption theciphertext Decryption Checking the correctness Consider    See Answer
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