You are given three single$-$word passwords encrypted using the ciphers presented in this lecture. To be more secure$,$ some passwords are encrypted using more than one cipher. Your task is to determine which ciphers were used and decrypt the passwords.

Encrypted passwordl $\backslash (=\backslash )$ CMUIAINOMNCTO

Encrypted password$2=$ VHFUHW

Encrypted password$3=$ WGIIVX

What was passwordl before encryption?

Answer:

What was password$2$ before encryption?

Answer:

What was password$3$ before encryption?

Answer:

RSA and Digital Signature: Let be $\backslash (\backslash$mathrm$\{$p$\}=17\backslash )$ and $\backslash (\backslash$mathrm$\{$q$\}=11\backslash ).$ Also, assume that RSA chooses $\backslash (\backslash$mathrm$\{$e$\}=7\backslash )$ and $\backslash (\backslash$mathrm$\{$d$\}=23\backslash )$ as encryption and decryption keys, respectively. Given these values of p$,$ q$,$ e$,$ and d$,$

a$)$ calculate your public and private keys using RSA.

b$)$ Then, assume you want to exchange your clear text message $\backslash (\backslash$mathrm$\{$m$\}=5\backslash )$ securely$.$ Encrypt m with your public key and decrypt the encrypted text again with your private key.

c$)$ Sign the message $\backslash (\backslash$mathrm$\{$m$\}=5\backslash )$ with the private key and verify it with the corresponding public key.