A simple encryption method is being used to encrypt a small number (called the secret number). The method by which this encryption works is as follows: ⦁ Choose a random seed number ⦁ Calculate the key by multiplying the seed with the secret under modulus 7 ⦁ Finally, multiply the key with the secret to get the encrypted secret Example: If our secret number was 45 Randomly choose seed = 6 key = secret x seed (mod 7) = 45 x 6 (mod 7) = 4 Encrypted Secret = key x secret = 45 x 4 = 180 Based on this encryption method, when choosing the random seed, show which number should not be used, because it would result in the Secret and the Encrypted Secret being the same.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 12E: Suppose that the check digit is computed as described in Example . Prove that transposition errors...
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⦁ A simple encryption method is being used to encrypt a small number (called the secret number). The method by which this encryption works is as follows:
⦁ Choose a random seed number
⦁ Calculate the key by multiplying the seed with the secret under modulus 7
⦁ Finally, multiply the key with the secret to get the encrypted secret

Example:
If our secret number was 45
Randomly choose seed = 6
key = secret x seed (mod 7) = 45 x 6 (mod 7) = 4
Encrypted Secret = key x secret = 45 x 4 = 180

Based on this encryption method, when choosing the random seed, show which number should not be used, because it would result in the Secret and the Encrypted Secret being the same.

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