In a lengthy ciphertext message, sent using a linear cipher C = a P +b (mod 26), the most frequently occurring letter is Q and the second most frequent is J. (a) Break the cipher by determining the values of a and b. [Hint: The most often used letter in English text is E, followed by T.] (b) Write out the plaintext for the intercepted message WCPQ JZQO MX.
In a lengthy ciphertext message, sent using a linear cipher C = a P +b (mod 26), the most frequently occurring letter is Q and the second most frequent is J. (a) Break the cipher by determining the values of a and b. [Hint: The most often used letter in English text is E, followed by T.] (b) Write out the plaintext for the intercepted message WCPQ JZQO MX.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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** In a lengthy ciphertext message, sent using a linear cipher C = a P +b (mod 26), the
most frequently occurring letter is Q and the second most frequent is J.
(a) Break the cipher by determining the values of a and b.
[Hint: The most often used letter in English text is E, followed by T.]
(b) Write out the plaintext for the intercepted message WCPQ JZQO MX.
5. (a) Encipher the message HAVE A NICE TRIP using a Vigenère cipher with the keyword
ELEMENTARY NUMBER THEORY
(b) The ciphertext BS FMX KFSGR JAPWL is known to have resulted from a Vigenère
cipher whose keyword is YES. Obtain the deciphering congruences and read the
MATH.
message.
6. (a) Encipher the message HAPPY DAYS ARE HERE using the autokey cipher with
(b) Decipher the message BBOT XWBZ AWUVGK, which was produced by the autokey
cipher with seed RX.
7. (a) Use the Hill cipher
seed Q.
C1 = 5P¡ +2P2 (mod 26)
C2 = 3P1 + 4P2 (mod 26)
to encipher the message GIVE THEM TIME.
(b) The ciphertext ALXWU VADCOJO has been enciphered with the cipher
C1 = 4P + 11 P2 (mod 26)
C2 = 3P + 8P2 (mod 26)
sta
Derive the plaintext.
8. A long string of ciphertext resulting from a Hill cipher
Ip
C1 = a P1 + bP2 (mod 26)
C2 = cP1 +dP2 (mod 26)
whe
order.
on th
knap
by HE.]
9. Suppose
is not
ring key is
(b) If the
Jou st
0111010111101010100110010
abetic form of the](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F66c7b497-dac7-4855-b923-2e60bbc73063%2Fdbab5515-25f5-4ab4-a4f1-d30dff012de7%2F8jnyq6n.jpeg&w=3840&q=75)
Transcribed Image Text:208
** In a lengthy ciphertext message, sent using a linear cipher C = a P +b (mod 26), the
most frequently occurring letter is Q and the second most frequent is J.
(a) Break the cipher by determining the values of a and b.
[Hint: The most often used letter in English text is E, followed by T.]
(b) Write out the plaintext for the intercepted message WCPQ JZQO MX.
5. (a) Encipher the message HAVE A NICE TRIP using a Vigenère cipher with the keyword
ELEMENTARY NUMBER THEORY
(b) The ciphertext BS FMX KFSGR JAPWL is known to have resulted from a Vigenère
cipher whose keyword is YES. Obtain the deciphering congruences and read the
MATH.
message.
6. (a) Encipher the message HAPPY DAYS ARE HERE using the autokey cipher with
(b) Decipher the message BBOT XWBZ AWUVGK, which was produced by the autokey
cipher with seed RX.
7. (a) Use the Hill cipher
seed Q.
C1 = 5P¡ +2P2 (mod 26)
C2 = 3P1 + 4P2 (mod 26)
to encipher the message GIVE THEM TIME.
(b) The ciphertext ALXWU VADCOJO has been enciphered with the cipher
C1 = 4P + 11 P2 (mod 26)
C2 = 3P + 8P2 (mod 26)
sta
Derive the plaintext.
8. A long string of ciphertext resulting from a Hill cipher
Ip
C1 = a P1 + bP2 (mod 26)
C2 = cP1 +dP2 (mod 26)
whe
order.
on th
knap
by HE.]
9. Suppose
is not
ring key is
(b) If the
Jou st
0111010111101010100110010
abetic form of the
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