How would you decrypt the Vigen`ere cipher used to encrypt "pineapple"? In general, if your friend said they encrypted a Vingen`ere cipher using the key (5,11,1, 2), how would you decrypt their ciphertext?

How would you decrypt the Vigen`ere cipher used to encrypt "pineapple"? In general, if your friend said they encrypted a Vingen`ere cipher using the key (5,11,1, 2), how would you decrypt their ciphertext?

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.8: Introduction To Cryptography (optional)

Problem 10E: Suppose that in a long ciphertext message the letter occurred most frequently, followed in frequency...

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How would you decrypt the Vigen`ere cipher used to encrypt "pineapple"?
In general, if your friend said they encrypted a Vingen`ere cipher using the key
(5,11,1, 2), how would you decrypt their ciphertext?

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Use the RSA cipher with public key (n, e) = (713, 43) to encrypt the word "TEE." Start by encoding the letters of the word "TEE" into their numeric equivalents. Assume the letters of the alphabet are encoded as follows: A = 01, 8 = 02, C = 03, ..., Z = 26. Since the code for T is 20 and since e = 43 = 32 + 8 + 2 + 1, the first letter of the encrypted message is found by computing 2043 mod 713. 20¹a (mod 713) 20² Eb (mod 713) 204 c (mod 713) 208 d (mod 713) 2032 = f (mod 713) 2016 e (mod 713) b = The result is that a = C = d = e = and f = Thus, 2043 mod 713 = (a · b. d. f) mod 713 = So the first number in the encrypted message is Repeat these computations for each letter to find the complete encrypted message and enter your answer below. (Enter the message as a sequence of integer triples separated by a single space, where each triple is written using a fixed number of digits: 001 for 1, 002 for 2, ..., 099 for 99.)