
Classical cryptosystems 75
25. Using the matrix M given on pa ge 67, encr ypt the messag e THESE CODES
GIVE ME A HEADACHE.
26. The matrix has been used to s e nd you the ciphertext HBANJFJZHWPC—
decrypt the message.
27. Now encrypt the plaintext SELL EVERYTHING AT HALF PRICE, this time
using the matrix
M =
23 18 4
5 2 13
3 11 6
.
28. Using the invers e of the matrix in the previous question, which is
M
−1
=
9 4 20
23 10 15
1 23 6
,
decrypt the ciphertext MHWASITJKNANAXY
29. Using the standard for mula
a b
c d
−1
= (ad − bc)
−1
d −b
−c a
find the inverse (mod 26) of
M =
23 12
8 19
.
30. A 3 ×3 matrix has been used to encrypt the message SENDITTOMYUNCLE
to the ciphertext ...