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1) Using the Diffie-Hellman key agreement protocol, find the common key that can be used by two parties with keys k1= 7 and k2= 8 when the modulus is p = 53 and the base isr = 2.

2)  Romeo and Juliet have as their RSA keys (5, 19 ·67) and (3, 11 ·71), respectively.

a) Using the method in the text, what is the signed ciphertext message sent by Romeo to

Juliet when the plaintext message is GOODBYE SWEET LOVE?

b) Using the method in the text, what is the signed ciphertext message sent by Juliet to Romeo when the plaintext message is ADIEU FOREVER?

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