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# Consider the RSA public key cryptosystem. Table 1 ( figure 1 ) contains the plain text that will be encrypted. If the prime numbers p=3 and q=11 are...

Consider the RSA public key cryptosystem. Table 1 ( figure 1 ) contains the plain text that will be encrypted.

If the prime numbers p=3 and q=11 are used to encrypt the plain text:

a. Compute **n **and **z.**

b. Is **d=5 **a number relatively prime to the number obtained for **z **previously**? If d is not a number relatively prime to z, propose a legal number for d.**

c. If **e=3**, use the information calculated in items **a,b **and table 1 to encrypt the following words **(IF POSSIBLE):**

**"COOL" and "FUN"**

d. List the public key pair and the private key pair used during the previous problem.

__Show your procedure__