Problem with $2-$letter units in an affine encryption system. All these problems can be solved by hand.

All arithmetic is performed in

$.$ X below is a

matrix, as is

$,$ while

is a

matrix.

Encryption function:

In this problem, neither

nor

are known to us but we made an attack on this cryptosystem and discovered that the plaintext 'PAZAZZ' is encrypted as $\text{'}$GLMRJV$\text{'}.$ That is$,$ PAZAZZ

GLMRJV$.$

Decrypt 'HNAAWC' in this affine system. HNAAWC

$($input a $6$ letter string as your answer: $2+2+2)$Problem with $2-$letter units in an affine encryption system. All these problems can be solved by hand.

All arithmetic is performed in $Z_{26}.x$ below is a $21$ matrix, as is $,$ while $$ is a $22$ matrix.

Encryption function: $f_E(x)=x+mod26$

In this problem, neither $$ nor $$ are known to us but we made an attack on this cryptosystem and discovered that the plaintext 'PAZAZZ' is encrypted as

$\text{'}$GLMRJV$\text{'}.$ That is$,$ PAZAZZ $f_E$ GLMRJV$.$

Decrypt 'HNAAWC' in this affine system. HNAAWC $f_D$

$($input a $6-$letter string as your answer: $2+2+2)$