Problem 6. In class, we learned a simple symmetric shift cipher (a.k.a. Caesar cipher). The secret key K is an integer in {0, 1,..., 25}. As always, we map each alphabet letter .,Z} to an integer {0, 1,...,25}. The encryption and description are defined x = {A, B, by Enc(x, k) = (x + k) mod 26, Dec(x, k) = (x - k) mod 26. (a) As a warm-up, encrypt "CSCI IS COOL" using a Caesar cipher with k='F'. (b) Here's the ciphertext generated by the shift cipher. Find the corresponding plaintext (please explain the approach/strategy you used to find the key). IWXHFJTHIXDCXHTPHN

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Author:Erwin Kreyszig
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Problem 6. In class, we learned a simple symmetric shift cipher (a.k.a. Caesar cipher).
The secret key K is an integer in {0, 1,..., 25}. As always, we map each alphabet letter
.,Z} to an integer {0, 1,...,25}. The encryption and description are defined
x = {A, B,
by
...
Enc(x, k) = (x + k) mod 26, Dec(x, k) = (x - k) mod 26.
(a) As a warm-up, encrypt "CSCI IS COOL" using a Caesar cipher with k='F'.
(b) Here's the ciphertext generated by the shift cipher. Find the corresponding plaintext
(please explain the approach/strategy you used to find the key).
IWXHFJTHIXDCXHTPHN
Transcribed Image Text:Problem 6. In class, we learned a simple symmetric shift cipher (a.k.a. Caesar cipher). The secret key K is an integer in {0, 1,..., 25}. As always, we map each alphabet letter .,Z} to an integer {0, 1,...,25}. The encryption and description are defined x = {A, B, by ... Enc(x, k) = (x + k) mod 26, Dec(x, k) = (x - k) mod 26. (a) As a warm-up, encrypt "CSCI IS COOL" using a Caesar cipher with k='F'. (b) Here's the ciphertext generated by the shift cipher. Find the corresponding plaintext (please explain the approach/strategy you used to find the key). IWXHFJTHIXDCXHTPHN
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