RSA

Using RSA, choose p =5 and q =13. For each of the following, show every step of your working: (i) Encode the ?rst three digits (upper-case letters) of your ?rst name by encrypting each letter separately. If your ?rst name contains less than three letters, combine it with the ?rst letter(s) from your surname (last name) so you will have 3 digits in total. Hint: Replace each upper-case 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.