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Let us implement a simple python program to show us how the public-key algorithm called RSA works. To generate the two keys, choose two random

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Let us implement a simple python program to show us how the public-key algorithm called RSA works. To generate the two keys, choose two random large prime numbers p and q. For simplicity of calculation in our lab, let's assume small prime numbers such as; p=47q=71 Then calculate: n=pq And calculate: (n)=(p1)(q1) Let's assume your public key is made of these two numbers: Public key =[e,n] Private key =[d,n] where e=97 and d=1693. Assume your plaintext is: "College Station". Convert each letter of your plaintext to a number mi. You may use the functions ord 0 to find the ASCII number. For each number mi, encrypt it by doing the following: ci=EPUB(mi)=(mie)modulusn Print the final ciphertext C=[c0,c1,c2,,cn] (You can print a list of ASCII values, not the character) Then, decrypt your ciphertext C by doing the following for each number ci : DPRIV(ci)=(cid)modulusn This should give you back mi and you can use chr( function to recover the character. Now with mi you can find which letter it corresponds to. Task 2.2: Choose a new set of RSA keys Choose a new set of values: Prime numbers: p and q Choose the public key (e,n) Choose the private key (d,n) Make sure they meet all the math requirements of the RSA encryption. Then test your encryption again. You can use the same plaintext "Bluebonnets are beautiful". Show that you get different numbers and then that you can recover the plaintext

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