What will be the encrypted message for 'YARMOUKNA' using a Caesar cipher with a key of 39?
Understand the Problem
The question is asking for the encrypted form of the word 'YARMOUKNA' using a Caesar cipher with a specific shift of 39. This involves applying the cipher method to each letter of the word based on the given key.
Answer
$LNEZBHXAN$
Answer for screen readers
The encrypted message for "YARMOUKNA" using a Caesar cipher with a key of 39 is $LNEZBHXAN$.
Steps to Solve
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Understanding the Caesar Cipher Shift The Caesar cipher involves shifting letters in the alphabet by a specified number of places. Since the alphabet has 26 letters, we can reduce the shift of 39 by calculating $39 \mod 26$ to find the effective shift.
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Calculating the Effective Shift To find the effective shift: $$ 39 \mod 26 = 13 $$ Therefore, the effective shift is 13.
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Converting Each Letter Now, apply the shift of 13 to each letter of the word "YARMOUKNA":
- Y → L (Y + 13)
- A → N
- R → E
- M → Z
- O → B
- U → H
- K → X
- N → A
- A → N
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Forming the Encrypted Word After shifting each letter, combine them to form the new word: "YARMOUKNA" becomes "LNEZBHXAN".
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Identifying the Answer Compare "LNEZBHXAN" with the options provided: a. OPLICAKVRX
b. YARMOUKNA
c. LNEZBHXAN
d. ZBQNCUHTOThe correct answer is option (c).
The encrypted message for "YARMOUKNA" using a Caesar cipher with a key of 39 is $LNEZBHXAN$.
More Information
The Caesar cipher is a simple substitution cipher where each letter shifts a fixed number of places down or up the alphabet. The effective shift can often be simplified by taking the modulus of the alphabet length, which helps manage larger shifts.
Tips
- Failing to take the shift modulo the alphabet size, leading to incorrect shifts.
- Forgetting to apply the shift to every letter individually.
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