Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 4 - Section 4.6 - Cryptography - Exercises - Page 304: 6

Answer

The most common letter in the ciphertext is X. In typical English text, the most common letter is E. The position of E in the alphabet is 4 . The position of X in the alphabet is 23. Calculate the shift key k : k=(X−E)mod26=(23−4)mod26=19

Work Step by Step

X is the most common letter in the ciphertext, we say that E in the plaintext has been shifted to X in the ciphertext. Now need to calculate how much E was shifted to become X to find the value of 𝑘.
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