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Encipher the following: ENCRYPTS a. using a shift cipher of 3 b. using an affine cipher of the form y=5x+3 c. and using a hill cipher w/ a key matrix of: (3) d. Discuss the similarities and differences you see in the three cipher texts.

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We consider the usual alphabet A=0, B=1, C=2, …., Z=25.
a).
After shifting each letter from the plaintext by 3 positions, we obtain HQFUBSWV as ciphertext.

b).
We substitute each letter of the plaintext using the provided key y=5x+3 (mod 26)
For E: y= 5*4 +3 (mod 26) = 23 => X
For N: y=5*13+3 (mod 26) = 16 => Q
For C: y=5*2+3 (mod 26)= 13=> N
For R: y=5*17+3 (mod 26)= 10 => K
For Y: y=5*24+3 (mod 26) = 19 => T
For P: y=5*15+3 (mod 26) = 0=> A...

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