(c) Using RSA, choose p = 7 and q =17. For each of the following, show...

  

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(c) Using RSA, choose p = 7 and q =17. For each of the following, show every step of your working: (i) Encode the first three digits (lowercase letters) of your first name by encrypt- ing each letter separately. If your first name contains less than three letters, combine it with the first letter(s) from your surname (last name) so you will have 3 digits in total. Hint: Replace each letter by its position in the alphabet, for example a=1, b=2, z=26. (ii) Apply the decryption algorithm to the encrypted version in (i) to recover the original plaintext message, i.e, the three digits that you have encrypted. [6 marks] (c) Using RSA, choose p = 7 and q =17. For each of the following, show every step of your working: (i) Encode the first three digits (lowercase letters) of your first name by encrypt- ing each letter separately. If your first name contains less than three letters, combine it with the first letter(s) from your surname (last name) so you will have 3 digits in total. Hint: Replace each letter by its position in the alphabet, for example a=1, b=2, z=26. (ii) Apply the decryption algorithm to the encrypted version in (i) to recover the original plaintext message, i.e, the three digits that you have encrypted. [6 marks]