Task 1in a public-key system using rsa you intercept the

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Reference no: EM13380265

Task 1:

In a public-key system using RSA, you intercept the ciphertext C = 13 sent to a user whose public key is e = 23, n = 143. What is the plaintext M? Verify the correctness of your decryption.

Task 2:

Consider a Diffie-Hellman scheme with a common prime q = 11 and a primitive root α =2.

a. show that 2 is a primitive root of 11.

b. If user A has public key YA = 9, what is A's private key XA?

c. If user B has public key YB = 3, what is the shared secret key K?

Task 3:

Given x = 6 mod 13 and x = 2 mod 17, find x.

Reference no: EM13380265

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