Consider an RSA cipher with primes $p=3$ and $q=11,$ encryption

exponent $e=7,$ and correspondences $A=0,B=1,C=2,$dots,

$Z=25.$

$($a$)*$ Use this cipher to encrypt BOONE.

$($b$)$ Decrypt $27,2,29,10,16,7,6,$ which was formed using this

cipher.

Consider an RSA cipher with primes $p=5$ and $q=7,$ encryption

exponent $e=5,$ and correspondences $A=0,B=1,C=2,$dots,

$Z=25.$

$($a$)$ Use this cipher to encrypt RON.

$($b$)$ Decrypt $12,9,0,6,0,13,$ which was formed using this cipher.

Consider an RSA cipher with encryption keys $e=27$ and $m=55,$

and correspondences $A=0,B=1,C=2,$dots,$Z=25.$

$($a$)$ Verify that the decryption exponent for this cipher is $d=3.$

$($b$)$ Decrypt $17,28,0,20,0,23,$ which was formed using this cipher.